diff --git "a/data/dm_maths/full_data/2209_11255.jsonl" "b/data/dm_maths/full_data/2209_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2209_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: In base 14, what is aa + -1914?\nAnswer: -1848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Suppose b = n*u + 3*b, -2*b = 3*u - 1. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-1)*o*o**(-3)*o*o)\/(o**(1\/9)\/o**(-1\/2)))**(38\/7) assuming o is positive.\nAnswer: o**(19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 7*a**2 - 2*a**2 - 8*a**2.\nAnswer: -3*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -270 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 15}. Give prob of picking 1 c and 3 i.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:54 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/280)\/(60\/80).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 times -1.5\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*11\/6)\/((-6)\/84). What is the highest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-380)\/12*9\/(-1). Suppose -c = -6*h - 87. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(22)*-2)\/sqrt(2) - sqrt(11)) + 1 + -1)*4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r - 26. What is the least common multiple of 12 and q(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.88 - 18. Let w = h + 0.12. Let r(k) = 11*k**2 + 42*k - 12. Let m be r(-4). What is the biggest value in w, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 186, -1, -0.07, 2\/11, 17?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -787, -1065, -0.1 in increasing order.\nAnswer: -1065, -787, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 465240*l + 21859653.\nAnswer: 3*(l - 155033)*(l - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 162 - 3. Solve -2*w + d = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1.2, 1\/17?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2700 = 3*w, -w - 1445 = -3*k + 575. What is the smallest common multiple of k and 448?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -0.4, 23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(2*j + 0*j - 3*j) + (2 - 3 - 4)*(-j + 2*j + 3*j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 1357, 4568, 10823, 21136, 36521?\nAnswer: 57992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 81 = -3*f, -a - f + 6*f = -51. Let m = 7 - -5. What is the highest common factor of a and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 10) in base 16?\nAnswer: 14c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 - 24 = 0. Suppose -5*j - 3*m = -54 - 1, 4*j + 2*m = 46. Let i be j\/60 - 10\/25. Put 0.5, i, l in increasing order.\nAnswer: i, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*m = 33411, -z + 6277 + 2067 = m. Is 99 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3663132 and 67\/222008.\nAnswer: 7326264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000270971 to seven dps.\nAnswer: 0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2254 + -0.4254. What is the closest to 0.8 in -0.1, 2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27846 and -185\/407349852.\nAnswer: 1222049556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0 - (6 + (8 - 17))) + 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/93036 and 71\/72.\nAnswer: 558216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -652, -1749, -3356, -5473, -8100, -11237?\n\"Answer: -255*f**2 + 178*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3031961*s**5 + 20*s**2 - 3871*s wrt s?\nAnswer: -181917660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.77, 256\/3, 0.05 in descending order.\nAnswer: 256\/3, 0.05, -4.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 1 n when three letters picked without replacement from nrrvvvovozno.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**2 - 46*j - 27. Let u be h(7). Let q(v) = 23*v**2 + 16*v + 54. What are the prime factors of q(u)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -135. What is the remainder when (-5)\/(20\/(-956)) + 4\/m is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11352 = -5180*j + 3288*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2566812.31 to the nearest one thousand.\nAnswer: -2567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2404, 4790, 7176?\n\"Answer: 2386*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 7*i**2\/4 + 2*i.\nAnswer: -i*(i - 1)*(i + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 962 and 151178.\nAnswer: 145433236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/28 + -3)\/(8\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 52 + 17 + o**3 + 30.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v + 12. Let f be c(0). Suppose f*n - 5614250 = 26785750. Round n to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/h)\/(h*h*h\/(h*h\/(h\/(h*h**(1\/43))*h))*h)*(h**19*h)\/(h**(-1\/44)\/h) assuming h is positive.\nAnswer: h**(53063\/1892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -473, -3, 89, -2, -1\/21 in descending order.\nAnswer: 89, 0.7, -1\/21, -2, -3, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.94075 microseconds to hours.\nAnswer: 0.000000020816875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46594 is divided by 2588?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27*(-2*(-51)\/(-68))\/(12\/(-16))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62744 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h - 4. Determine p(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 6*l - 28 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -25 - (4 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x. Let m(w) = -950*w**2 + w + 2. What is f(m(a))?\nAnswer: -1900*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - (-4 - -2)\/(3 + -2). Solve 26*j = k*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 25. What is u(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86764?\nAnswer: 2, 109, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 14*a + 15. Let m be z(13). Let w be ((-4)\/(-3))\/(m\/3). Factor 7*g**2 - w*g**2 - 2*g**3 - g**4 - 5*g**2.\nAnswer: -g**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315413, -630953, -946493, -1262033?\nAnswer: -1577573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1750371 divided by 583457?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 151*b**2 - 16*b - 304. Is l(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h**2 + 5*h + 4. What is q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 405 + 3\/(12\/(-4)). Let i be (-3)\/(-15) - w\/(-5). Suppose -1 = s - 4*y, 0*s - 4*s = y - i. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+414207.6\nAnswer: 414203.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*p + 706 = 278*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-483)\/(-184))\/((-3)\/(-140))*99\/495\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22912107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y - 2862 = 19*y. What is the remainder when y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/7 (b) 2 (c) -26 (d) 28.155 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/(-5*5\/(-25))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7\/37 (b) -2\/15 (c) 3 (d) -17 (e) -181 (f) -2 (g) 1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:02 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*x + 28. Let r = x + 8. Suppose 3*d + 15 = -r*d. Which is the smallest value? (a) -4 (b) d (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/13*2\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(10\/(-32)) - -2. Let x = 8 + k. What is the remainder when 32 is divided by 101\/9 + x\/27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1997 or 1988?\nAnswer: 1988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from gmmggggm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15233*t - 15110*t - 2337 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 7*(140\/7)\/4.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299527327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 12:44 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(1\/3)*f))**16)**(1\/8))**(-8\/7) assuming f is positive.\nAnswer: f**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -503.9 - 2061. Round c to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16929433\/1111 + -15238. Calculate the common denominator of p and 49\/202.\nAnswer: 2222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71295118 a multiple of 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgmff. What is prob of sequence mgk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1359 and 45753?\nAnswer: 137259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f + 2. Let x be v(-3). Suppose 0*z + 49 = 7*z. Calculate the greatest common factor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2145435 rounded to 3 decimal places?\nAnswer: 1.215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21537 (b) 2\/9 (c) -3 (d) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139 by 7335.\nAnswer: -139\/7335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.9613l?\nAnswer: 7961.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 64*v + 972. Give c(-25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/1153? (a) -2\/15 (b) -5 (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2352 and 8106?\nAnswer: 453936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 941127 divided by 16.\nAnswer: 941127\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11227 - -25502. What is the greatest common factor of 99 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/6)\/((-1590)\/(-3816))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2. Let j(u) be the third derivative of -u**5\/20 - 172*u**3\/3 + 301*u**2. Give h(j(t)).\nAnswer: -18*t**4 - 4128*t**2 - 236672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z**2 - 701 + 701 + 30*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 8*s - 3*c + 101 = 2*s, 49*c = -2*s + 1333 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 7*i - 3. Let d be s(-7). Let v = d - -5. Suppose -89 + 147 = 21*p - 110. Solve p = v*j + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-12))\/(21\/126). Let m be (-3)\/(-2)*(-6)\/3. Let k(r) = 1. Let b(h) = 5*h**2 + 3. Give m*k(o) + p*b(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2221002011201 (base 3) to base 14\nAnswer: -2c7378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2. Let a = 90 - 88. Let c(w) = -10*w + 927*w**2 - 923*w**2 + a*w. Calculate c(r(j)).\nAnswer: 4*j**4 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 2*o = 1664. What is the highest common factor of o and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsgvgqggsvgvvqqgg. Give prob of sequence ggss.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than 1761039\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/30 - 6\/(-45). Solve 5*r + v = -8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 m when four letters picked without replacement from {m: 5, s: 7, b: 1, d: 1}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a8 (base 13) to base 2.\nAnswer: 1010110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*a*t**4 - a*t**3 - 987*a + 1701*t**3 + t**2 - 460 wrt t.\nAnswer: 4008*a*t - 6*a + 10206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19974, -40334, -60694, -81054, -101414?\nAnswer: -121774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215093 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 17 + 8)*(-4*h - h + 2*h + (1 + 2*h - 1)*(1 + 0 - 2))*(-4*h - 2*h**2 + 4*h)*(-h**2 + 2*h**2 + h**2).\nAnswer: 60*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/39 and (-1)\/((-50)\/180)*(-90)\/84.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2561, 4996, 7307, 9500, 11581, 13556, 15431, 17212?\nAnswer: 18905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -4. Suppose 22 = -k + 4*k + 5*a, 4*k + n*a = 6. Does -3 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 + k**4 - 105*k**3 + 299*k**2 - 292*k + 96.\nAnswer: (k - 8)*(k - 1)**3*(k + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 515 - 465. Suppose 0 = s*l + 8837 - 59587. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f - 4. Let g be r(3). Suppose -g*p - 2*i = 0, p + 4*i + 1 = 4. Let m be -1 - 0 - 9\/3. Which is the closest to 0.2? (a) p (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78661?\nAnswer: 11, 7151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 4. Suppose r - 6 = -r. Suppose 4*n = -3*w - 7, 2*n + 2 = w - r*w. Do x and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let n = j - 0. Let m = -246935 + 246941. Solve h - m = -n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-8)\/64*-8*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((4\/(-2))\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 642854578 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*g**3 - 31*g**2 + 12*g**2 - g + 18*g**2 - 3*g + 3*g to the form v + a*g + j*g**2 + f*g**3 and give f.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -11) + (211 - 242)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*h*l*y**3 - 4*h*y**3 + 3*h*y**2 + 7*l*y**2 wrt y?\nAnswer: -294*h*l - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -15, 13, 0.35?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 7*g**2 - 9*g + 9. Determine c(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2, 4, 20, 3 in descending order.\nAnswer: 20, 17, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (70*(-156)\/2912)\/(-1*5\/56)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k + 3. Let p(z) = -3*z**2 + 17*z - 8. Let v(a) = 2*a**3 - 5*a**2 + 4*a + 1. Let r be v(2). Let u be p(r). Determine b(u).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 7\/2*y**2 + 0*y + 14 + 0*y**4 + 0*y**3 + 0*y**5 + 7\/6*y**6. What is the second derivative of t(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 + 7 = -2*s, 2*l = -8. Let z(m) be the second derivative of -3\/10*m**3 + s + 3\/5*m**2 + 3\/100*m**5 + 6*m + 0*m**4. Factor z(q).\nAnswer: 3*(q - 1)**2*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 4*r - 9. Let q be a(-6). Suppose q*m - 25 = -2*m. Suppose -15 = -10*l - m. What is the closest to l in 3, 5, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(204)*-6*4)\/((sqrt(36) - sqrt(576))\/sqrt(3) + (1*sqrt(48))\/sqrt(4)).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let b(a) be the second derivative of -a**4\/24 - 2*a**2 - a. Let h(d) be the first derivative of b(d). Calculate h(v(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 51 (b) -4\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 25 = 0, -4*n - 9 = 4*v - 1. Suppose -2*d - 90 = -y - 0*y, -n*d - 2*y = 128. List the prime factors of d\/(-6) - (-2)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/3, 1\/4, -2\/9 in ascending order.\nAnswer: -4, -1\/3, -2\/9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38715744 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7642.417 centuries?\nAnswer: 764.2417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20*(3 + (-5)\/2). Calculate the common denominator of (-42)\/11 - (-5)\/z and -43\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0.04. Let k = l - -0.3. Which is the biggest value? (a) -5 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/497? (a) -1 (b) 0.6 (c) 2550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 + -3)\/(-17 - (-1505)\/86).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 9. Let y be (0 - 3)*2\/3. Let o(q) = 2*q**2 - 2*q - 2. Let v be o(y). Let z = v - 10. Determine t(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20930 - 20784. Calculate the highest common divisor of q and 4234.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 10 = 3*y. Let s = y - -7. Solve -20 = s*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -72, 1, -5, 13, -839 in descending order.\nAnswer: 13, 1, 0, -5, -72, -839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 3*g**2 - 2*g + 2. Let f be k(-2). Suppose -f*x + x + 6 = 0. Solve x*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 15 + 4 + 7375*y + 10.\nAnswer: -y**2 + 7375*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-9))\/(-2) - (-335 + 338)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -11, 64 in ascending order.\nAnswer: -11, 7, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1369*g + 339*g = 1839*g - 172140 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -80*s + 46. Let k(b) = 3121*b - 1. Determine o(k(r)).\nAnswer: -249680*r + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 156, 370, 670, 1056, 1528?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 136. Suppose -o*r = -r - 2414986. Suppose 0*t + 3*z - 114994 = t, -3*t - r = -z. What is t rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175798.29 - 176020.29163. Let l = u + 222. What is l rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 9.836\nAnswer: 2.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 9 - 12*u + 9 + 0 - u**2. Let h be s(11). Solve -l - 1 = -h*q + 3*q, 5*l + 5 = 3*q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 + 5*o**4 + 170*o**3 + 310*o**2 - 165*o - 315 = 0.\nAnswer: -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 32 = 4*o, -442*o - 4 = -3*v - 221*o - 225*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i - 36*i + 132 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = s, 2*g + 3*s = -0*s - 2. Suppose g*n - 4 = -4. Solve 5*z + 2*t + 7 = n, 0 = 4*z + 4*t + 8 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1171944 and 2?\nAnswer: 1171944","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let i = 364 + -219. Suppose 6 = 3*q, 0 = -5*k + 4*q - 9*q + i. Calculate the remainder when 52 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.842 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -95170 take away -0.4?\nAnswer: -95169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 268\/52 - 6\/39. Let c = 1 - 1. Let w = 0 + c. Solve w*r - q*k = 5*r, 2*k = r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/9 - 80\/(-36). Let j(u) = v*u**2 - u**3 + 6*u**2 + 13 + 757*u - 749*u. What is the tens digit of j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2914 and 7316.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2. Let m(i) = -6*i + 1619983. Calculate m(r(q)).\nAnswer: -24*q**2 + 1619983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6199 (b) -76 (c) 6 (d) -7\/3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*w + 1686 = -0*w, 5*u = -3*w + 2794. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b21 - -5?\nAnswer: 2b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 23847797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 5:14 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -190\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6828683*h**2 - 422*h**3 + 6828683*h**2.\nAnswer: -422*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15407 equal to 677943\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 18 = 3*q. Let k = 41 - q. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 124626834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*30\/(-245)*(-1)\/(-3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Let v be (2 - 0) + 1 - 1. Suppose 2*x - 4 = -v*x. Which is the third biggest value? (a) z (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 (base 4) in base 2?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586099 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 499.713 (b) 1\/3 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 319076 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {q: 1, m: 3, t: 9, g: 1}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 14, -4\/7, 21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 5:22 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 97878 and 198.\nAnswer: 293634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -d73 (base 16) to base 10\nAnswer: -3443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 52*t**2 + 204*t - 16 = 0.\nAnswer: -4, 1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 2*k + 7. Let z(j) = -5*j**2 - 7*j - 36. Let r(a) = 2*b(a) - z(a). What is r(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731705?\nAnswer: 5, 13, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599467 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: Is 7292651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*(6 + (-355)\/60). Which is the closest to i? (a) -1 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4924504 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1*-287\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -5, -22, -45?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15 - (-4 - (-3 - 4)). Let x be 2*((-3)\/4 - (-69)\/g). What is the units digit of (-2 - -4*x)*3*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*x + 4, 5*x = f + 2*f - 32. Suppose f*b = -6*b + 5*b. Let g(p) = -p**2 - 9. Calculate g(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -352*j - 4. Let l(f) = -7618*f. What is r(l(p))?\nAnswer: 2681536*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 30. Let r be 24\/9*q\/(-1 + -5). Determine a, given that 0 - r*a**2 + 0*a**3 + 2\/9*a**5 + 4\/9*a**4 - 2\/9*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4112 - -15451. List the prime factors of j.\nAnswer: 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.504045109 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*a - 40 = 0, -50 = -3*p + 4*a - 5*a. Let v(y) = -1 - 62*y + p*y + 14*y + 18*y + 19*y. Determine v(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-29960)\/(-9072))\/(-107))\/(10\/(-24)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*14.019.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/20*(-10)\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10682878 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 - 17\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795002 is divided by 2133?\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.434+-3\nAnswer: -0.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1961, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144184 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29779470*h**3 + 6598*h**2 - 29779544*h**3 - 6598*h**2.\nAnswer: -74*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 233 - 223. Let s(k) = k**3 - 10*k**2 - k - 1. Determine s(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 702 * 0.001\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {c: 3, v: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 3. Let k(s) = 6*s - 7. Let g(u) = 3*k(u) - 7*q(u). Let a(d) = 80 - 310 + 79 + 77 - d**2 + 87. Determine a(g(o)).\nAnswer: -9*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - a - 5, h = 3*h + 5*a + 25. Solve -q - q - 2 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*w - 78 = 0, -y - 2*w - 3*w = 39. Let f = y - -39. Find the third derivative of -13*z**6 + z**6 + z**6 + f*z**2 + 5*z**2 wrt z.\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1381, 2762, 4143, 5524, 6905?\nAnswer: 8286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -45 (c) 1302\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**7\/1260 + s**6\/360 - s**5\/90 - s**4\/72 + s**3\/12 + 72*s**2. Find d such that f(d) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.759935 + 8.71. Let i = 0.05 + n. What is i rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10924.18 - 10824. Let n = 100 - l. Which is the nearest to n? (a) 0.1 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885583465867*u + 2*u**2 + 2885583465867*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.704774989 - 32819\nAnswer: -32819.704774989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 28. Suppose 3*o - 2*o - 851 = g. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -12245?\nAnswer: 12301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:14 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -123, -3 in increasing order.\nAnswer: -123, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*a + 234*a + 249*a + 254*a - 1020*a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = -2*w, h - 5*w = 5*h + 10. Suppose -200*y + 201*y - 21 = 0. Suppose 7*a - 14 = y. Solve 4 = -3*i + i + 4*z, a*i - z - 17 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 230 - 113 - 114 - 3*q + 4*q. Determine s(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 22545.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -6*n**5 - 2673*n**4 - 253011*n**3 - 6674958*n**2 + 10851840*n + 7063200 = 0.\nAnswer: -327, -60, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/5 (c) 0.1 (d) 0.14 (e) 46 (f) 37\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 239 = 159 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*c + 3550, -v - 4424 = -6*v + 2*c. What is the remainder when v is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -7. Suppose -4*t + 6*t - 2 = 0. Sort t, -2, y in ascending order.\nAnswer: y, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (sqrt(208) + sqrt(208) + -2 + sqrt(208) + 5)**2.\nAnswer: 76*sqrt(13) + 1881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 233013*v**3 - 85480*v**2 - 2*v + 1.\nAnswer: 1398078","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*w**6 + 17*w**2 + 204 - 204 + 7*w**6 wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1946583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.48 + -1.38. Let u = p - 6. Let w be -2*(3 + (-220)\/75). Which is the closest to u? (a) 1 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s + 15 = 0. Suppose -s = -2*c + 33. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*j - 103*j**2 - 130*j**2 + 193*j**2 wrt j?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 0*l)*(-1 - 2 + 2) + 33*l + 21*l + 7*l + 4*l - 3*l - 2*l.\nAnswer: 59*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 31. What is the least common multiple of 44 and c(13)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 254077?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -269, -278, -289, -302, -317, -334, -353?\n\"Answer: -w**2 - 6*w - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 8. Find the second derivative of -45*f - a*f**2 - 7*f**2 + 10*f**2 wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -3\/5, -14, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*p - 175*p = 35. Suppose -1353 = -p*l + 212. Is 61 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220212003 (base 4) to base 5\nAnswer: -20310100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 37. Factor 0*g + x + 1\/5*g**2.\nAnswer: g**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 0.05245?\nAnswer: -0.011539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 32*s**3 + s - 65*s**3 + 36*s**3.\nAnswer: 3*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 638 and 0.33?\nAnswer: 210.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 496606 and 18?\nAnswer: 4469454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {y: 1, n: 8, q: 5, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/17 (b) 13 (c) -0.05 (d) -306 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 283*w**2 + 626*w + 15959. What is j(-285)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + u)*(u + 0 + 0) - 17*u**2 - 21*u**2 + 48*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/7 + 31104*u - 217734\/7.\nAnswer: 6*(u - 1)*(u + 36289)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 20*n**3 - 148*n**2 - 836*n + 4. Let x(o) = -o**4 - 2*o**3 - o**2 + 2*o + 2. Let v(j) = -2*t(j) + 4*x(j). Find k such that v(k) = 0.\nAnswer: -15, -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 4:19 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, -5, 3904, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 + 238 + 9\/(-3) + 0 - 31?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -50. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 16. Let x = -4.1 - a. Let j be (0 - 1)*0\/3. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 116956516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369.06 + 374. Let p = z - 4.44. Let y = -4.97 + -0.03. What is the third biggest value in 22, p, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114337033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)\/w)\/(w\/w**6))\/((w*w**(-2\/7)*w)\/w**(2\/3)) assuming w is positive.\nAnswer: w**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*6*1\/4. Let m be ((-16)\/6)\/((-8)\/u). Suppose 0 = o - 2*k - 11, -m*o - k - 1 = -18. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*d + 8*d + 1605402. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00702296 - 1.664\nAnswer: -1.67102296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6058269*w**3 + 706786*w**2 + 26*w - 1 wrt w?\nAnswer: 36349614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8187*j - 395528 - 473728 + 271605 = 0 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 7\/6 (c) -0.1 (d) 74.8 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (6 + 1)) + -8 + (-9 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56079.5023 + 56087. Let o = 18.5 - 11. Let p = q - o. What is p rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183033 = -12*d + 9*d. Suppose -2011 = -5*t - d. What is t rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 8405 and 2545 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = -78 + 123. Solve 5*i = -3*k + i - 11, n*i = -5*k - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2102*d**3*t + 2*d*t - 1136*t + 2 wrt d?\nAnswer: -6306*d**2*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2716*x - 2674*x = -1092 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5814 is divided by 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/((-12)\/(-4)) + 7. Let r(g) = -6*g**3 + 6*g**2 - 2*g - 14. Let x(o) = -2*o**3 + 2*o**2 - o - 5. Let t(u) = f*x(u) - 3*r(u). Factor t(q).\nAnswer: 2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12462 is divided by 6174.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25ba2 (base 12) to base 6.\nAnswer: -1035522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193232.\nAnswer: 2, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 439*-59\nAnswer: -25901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228 + 142. Let h = 6 - a. Suppose -4*r = 3*y - 299, -r + 0*r + 5*y + h = 0. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -0.1 (c) -2\/3 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20964 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.8 - 2.8. What is the second biggest value in t, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by -3 - ((-30)\/40)\/(2\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 + m**2 - 2*m - 5. Let a be o(6). Calculate the greatest common divisor of 23 and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b + 2426 = 818 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237754549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -295.\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, h: 1, y: 1, a: 5, o: 6, v: 1}. Give prob of sequence hoy.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(55)\/(sqrt(25)\/sqrt(5)))**2 - sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o + 2. Let v(r) = -r - 1. Let t(h) = k(h) + 6*v(h). Let m(f) = 5*f - f + 26 + 0*f - 24 - 3*f. Calculate -5*m(p) - 2*t(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let o be (-5)\/((2340\/(-48))\/(-39)). Let b be 14\/4*-2 + -1. Put o, c, b in decreasing order.\nAnswer: c, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 3*f + 3*f)*(-1 - 3 + 0) - 2*f - 2*f + f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*b**4\/5 + 80284*b**3\/5 + 12974*b**2\/5 - 354*b = 0 for b.\nAnswer: -295, -1\/4, 0, 3\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2903\/40 - -361\/5. Which is the third biggest value? (a) 0.1 (b) 0.008 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/5 (b) -1 (c) 5\/3 (d) -21643 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/9*l**4 - 22*l**3 - 1040\/9*l**2 + 0*l = 0. Calculate l.\nAnswer: -5, 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 45036*s - 372*s**3 - 2*s**2 + 4*s**2 + 45056*s to z*s**3 + b + w*s + g*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-18 - (18 + (-2 - 12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*k + 49 = -k, 3962*v - 3958*v + 4*k - 76 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.6, -3\/7, -0.2, -198370, -2 in decreasing order.\nAnswer: 4.6, -0.2, -3\/7, -2, -198370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2676 + 3*x + 26*x + 80*x**2 - 34*x wrt x.\nAnswer: 160*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, -0.2, 21, 6, 610?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**4\/4 - 4*t**3\/9 - 59*t**2\/6 + 20*t\/3 - 72. Factor b(j).\nAnswer: (j - 5)*(j + 4)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -83, -86, -73, -38, 25, 122, 259?\n\"Answer: l**3 - l**2 - 17*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36700.\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 12*x**3 + 2*x**2 - 76*x + 11. Let d(r) = 23*r**3 + 3*r**2 - 150*r + 19. What is -3*d(a) + 5*i(a)?\nAnswer: -9*a**3 + a**2 + 70*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -60567758 to the nearest 100000.\nAnswer: -60600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 38 = -p. Suppose -53 = -2*g - p. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3987, -15642, -35171, -62574, -97851?\n\"Answer: -3937*l**2 + 156*l - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 497080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - -3 - (-45)\/(-9). Solve 3*n - d*o = 11, -n + 4 = -4*o - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilwiiliiliiw. Give prob of picking 1 w, 2 l, and 1 i.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4\/9 (b) -112 (c) -0.1 (d) 4.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/4, 18383 in descending order.\nAnswer: 18383, 5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 1889838582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*o = 458, 3*m - 2*m - 4*o - 64 = 0. Calculate the smallest common multiple of m and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 8*w**5\/17 - 46*w**4\/17 - 88*w**3\/17 + 126*w**2\/17 = 0.\nAnswer: -9\/4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {a: 1, p: 1, y: 1, r: 1, e: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*a = 109*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 2*j. Find the third derivative of -4*d**2 - 3*d**3 - j + 1 + 2*d**2 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-18)\/8)\/((-58)\/5481*-27). What is the closest to -2\/3 in s, 0.4, 7, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.6, -2, -5\/97, 3, -4?\nAnswer: -5\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + z**3 + 4 + 2 + 9.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l - 3*l**4 + l**3 - 4*l - 4*l + 3*l**3 to the form u*l + x*l**4 + r*l**2 + y*l**3 + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105621 by 1.\nAnswer: 105621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -33304 (b) 2\/7 (c) -2\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68065751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 + 5*p + 5. Let j(c) = c**3 - 10*c**2 - c + 10. Let w be j(10). Suppose -4*n - 18 - 6 = w. What are the prime factors of m(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)*d**(4\/5))\/((d**0\/d)\/d)**(6\/23)*(d**5\/(d*d**2))\/(d*((d*d**(-1\/9)\/d)\/d)\/d*d**1\/d) assuming d is positive.\nAnswer: d**(2863\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*z - 12, -5*z - 6 = 3*n - 2*n. Solve n*b + k = -25, -4*b + 3*k = k + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31032*i*n**3 - 3347*i*n*r - n**3*r + 2*n**3 + 6155*n**2*r - 2*n + r - 15 wrt i?\nAnswer: 31032*n**3 - 3347*n*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.79 + -0.789999571. What is b rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 354958, 354926, 354894, 354862?\n\"Answer: -32*v + 354990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*-3*2\/68*-17.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176, -194, -222, -266, -332, -426?\n\"Answer: -k**3 + k**2 - 14*k - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -60*(4 + 1212\/195). Let i = -142033\/234 - s. What is the common denominator of i and (1 - 2) + 142\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 127006?\nAnswer: 127005.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.002, 0.1, 25, -5?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -32?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**2\/2 - 4*a - 161. What is s(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -792*u + 775*u - 34 = 4*o, -2 = 2*o + u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 859025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e793 + -2?\nAnswer: -3e795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 32. Let s = 109 - g. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -19*m**3 - 21*m**2 + m - 4. Let d(x) = -6*x**3 - 7*x**2 - 1. Let y(c) = -7*d(c) + 2*w(c). Suppose y(h) = 0. Calculate h.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55090.22 and -0.2.\nAnswer: 11018.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/4, -5.15686, -0.016?\nAnswer: -5.15686","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q - 412 + 2410 = 0. What is the remainder when 317 is divided by q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**4 + 3*w**3 - 818135*w - 44*w**6 - 10*w**2 + 817856*w - 4*w**4 wrt w.\nAnswer: -5280*w**3 - 48*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141 and -4.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 1\/18*n**4 + 0*n**2 - 2*n + 0 + 1\/9*n**3. Factor q(t).\nAnswer: 2*t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.6101mg to nanograms.\nAnswer: 249610100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, r: 1, n: 1, a: 5, p: 4, w: 5}. What is prob of picking 1 r, 1 k, and 1 w?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 + 15850*g**3 + 157660*g**2 - 1075240*g - 2654400 = 0?\nAnswer: -3160, -14, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486113 is divided by 28594.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4 - 11820*k**3 + 11449578*k**2 - 68378652*k + 102408651 = 0.\nAnswer: 3, 1691, 2243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)\/(sqrt(84)\/sqrt(7)) - sqrt(36)) + sqrt(36))\/(sqrt(84)\/sqrt(7)*6) - (sqrt(2160)\/sqrt(10))\/(sqrt(72)\/sqrt(4)).\nAnswer: -11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002287081 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9662273.26284302 - -9662273. Let b = w - -0.3208425. Let d = -0.058 + b. Round d to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4175 rounded to two decimal places?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9 = q, 4*h - 2*h = 4*q. What is f in 0*f**h + 5*f**2 - 2*f**2 + 3*f = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 26*v**2 + 80*v - 216. Give h(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 4*z**2 + 0*z**4 + 70*z**3 - 70*z**3 - 2*z**4 as q*z**2 + f*z + r*z**3 + m + x*z**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w - 21. Let x be b(-3). What is the third derivative of 46*s**2 + 3*s**3 + 14*s**2 - x*s**3 - 64*s**5 wrt s?\nAnswer: -3840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x + 44408*x**2 + x - 44404*x**2 + 1 + 3*x**3 + 58*x**4 in the form i*x**2 + z + n*x**4 + u*x + w*x**3 and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, -0.4, 0.4, -1\/2 in increasing order.\nAnswer: -1\/2, -0.4, 0.4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/119)\/(2\/(-2))*3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1026 and 71\/912?\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**3 - 5*r**2 + 7. Let g = -2806 + 2799. Let c(o) be the third derivative of 7*o**6\/120 - o**5\/20 + 2*o**3\/3 + 4*o**2. Give g*c(n) + 4*i(n).\nAnswer: 3*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**4\/3 + 1846185*z**3 + 34616560*z**2\/3 + 17539140*z + 11077360\/3 = 0. Calculate z.\nAnswer: -4, -2, -1\/4, 276934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1802362 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3781 - -52893\/14. Calculate the common denominator of i and 21\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -3*f**4 - 5*f**3 + 69*f**2\/2 + 18*f + 18. Factor m(w).\nAnswer: -3*(w - 2)*(w + 3)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 20*j**2 + j + 10. Let s be p(-10). Is -6\/19 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**3 + 1 - 5*z**3)*(1 + 0 - 3)*(-4*z + 0*z + 3*z + (3 - 5 + 5)*(0 - 2*z + 0) + 6*z + 7*z - 5*z).\nAnswer: 4*z**4 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-8))\/(-3))\/(817\/(-84968)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*j. Suppose j*c + 2*c = 18. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0075 * 183\nAnswer: -1.3725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*q = 14 - 1, -2*p + 2 = -4*q. Suppose p*u + 2*o - 39 = 0, 42 = 5*u + o - 23. Suppose 5*x + 7 = 2*d - u, -5*d + 16 = -4*x. Solve c + d = -3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 4*g + 60, 4*g + 28 = 4*w - 2*w. Suppose 5*t + 2*y + w = 275, 2*t - 2*y - 98 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1 - (-9)\/(-9)*-5. Suppose -6*q + 24 = -4*q. Solve d + 3*d + j*w - 26 = 0, -4*w = -q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -673 + 674. Is x\/6 + 2498650\/300 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 24*r - 21*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7536, 7540, 7534, 7512, 7468, 7396, 7290, 7144?\nAnswer: 6952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*j - j**3 - 8*j + 8*j + 26*j.\nAnswer: -j**3 + 78*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -432*t - 2592. Determine p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/15, -16\/5 in increasing order.\nAnswer: -16\/5, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-5))\/(((-4)\/2)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -563.3 (c) -30 (d) 9 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 13 - 11 = 0. Let r(w) be the third derivative of w**5\/60 - w**4\/4 + 5*w**2. Is 16 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1197433 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 314, 4, -0.5, 1, -1\/4, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 1421?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 w when four letters picked without replacement from uuwwuw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 922639 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 14*g**2 - 49*g + 36. Let w be y(9). Let l(j) = j**2 + 8*j + 9. Determine l(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11134 and 611198?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15 and -16886723436.222.\nAnswer: -16886723436.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17962 - -18758. Sort 0, a, -3.\nAnswer: -3, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Let q be 14\/c - (-5)\/10. Suppose -62 = -q*d + 90. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*-2*(-2)\/16. Solve -q + 2*q = 4*a - d, 2*a = 4*q + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5385.\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -17*a + 20*l - 19*l, -118*l = 8*a - 119*l - 22 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94428 and 193742649?\nAnswer: 774970596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -24 + 61 - 2*w - 37. Let v(m) = 13*m + 4. Determine n(v(j)).\nAnswer: -26*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -307110840*j**2. Let o(x) = -2*x. Determine c(o(v)).\nAnswer: -1228443360*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/10710*27)\/((-63)\/(-105)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**4\/18 + d**3 + 8*d**2\/3 + 16*d + 5. Let r(b) be the first derivative of f(b). Factor r(c).\nAnswer: 2*(c + 1)*(c + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*-3*(sqrt(19)*-1)**2*-2 + (-2*sqrt(2736)*1 + (sqrt(2736) - (2 + sqrt(2736) + 1)))**2.\nAnswer: 144*sqrt(19) + 11640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 386*z - 387*z + 2. Is 40797\/11 + z\/99*9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*i + 18, 30*i - 20 = 5*z + 28*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, u: 1, e: 1, n: 1}. Give prob of sequence ue.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 13*b**2 - 25*b + 3. Let s be t(11). Let h = s + 71. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*i - 13, 5*h - 2*i - 17 = -12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -10, 86, 1\/3, 131, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 5*o**2 + 2*o + 8. Determine s(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 22*g**3 + 6*g**2 - 10*g + 10. Let v(c) = 3 + 0*c**2 + 7*c**3 - 2*c + 4*c**2 - 2*c**2 - c. Let f(x) = 10*v(x) - 3*y(x). Factor f(l).\nAnswer: 2*l**2*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(1331) + -4 - (1*(0 + sqrt(1331)) - (sqrt(1331)*-1 + -2)**2).\nAnswer: 11*sqrt(11) + 1334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 1, 5\/3, 1\/3, 6\/23, 0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1026313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 5. Suppose 5*o - 20 = -5*r, 6 = 3*r - 10*o + 15*o. Is d(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3009 (base 15) in base 8?\nAnswer: -23626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -19\/57215?\nAnswer: -19\/57215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 364512 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20368 or -224049\/11?\nAnswer: -224049\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -497985.569 minus -18?\nAnswer: -497967.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 38*h. Let g be w(2). Let f = g - 26. Let i = 57 - f. Solve -i = -3*m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/223? (a) -2 (b) 315.14 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -5. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x**2 + 241*x - 479. Determine q(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*4*19\/(3724\/(-637)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/2 (b) -0.4 (c) 3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 452*c. Let o(u) be the first derivative of u**3\/3 + 161. Determine o(f(l)).\nAnswer: 204304*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0.20525.\nAnswer: -3.20525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*q + 2*q = 38, 0 = -3*r - 5*q - 61. Let i(h) = -h**2 - 14*h - 18. What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 6. Let m be y(0). Let w(b) = -12*b - 28. Is 21 a factor of w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -4 (c) -0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2826*h + 4 + 10 - 2821*h to the form m + y*h and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - (-201520)\/20096) + -7 and 58\/5.\nAnswer: 6280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11280*s**3 - 443 + 443 + 10633*s**3.\nAnswer: -647*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 5*s + 30. Let u be r(-4). Let w(j) = 2*j + 1. Let b be w(3). Solve -b*d + 20 = -u*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6287 = -1873*r - 55115 - 71044 for r.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1070 or -1053?\nAnswer: -1053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-18) - -13)*10\/20.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkd when three letters picked without replacement from kkkkkwkkkkkkdd?\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42802672*a*c + 15298*c + 1075 wrt a?\nAnswer: -42802672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/50)\/(30\/25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/7 of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + 1)*4)**2 + (sqrt(304) - ((1*sqrt(304))**2 + 1)) + sqrt(304).\nAnswer: 136*sqrt(19) + 4575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by 16.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7 = -z, 5*h + 2*z = 4*z + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 672\/5 - 134. Let u = 4.66 + -0.66. What is the biggest value in u, 0, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*1 - sqrt(144)\/sqrt(48))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 959.746266.\nAnswer: 957.746266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**2 - 360*f + 210. What is y(-52)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 629180087 or 629180086?\nAnswer: 629180086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5\/8 + 8469*v**4\/8 + 5961219*v**3\/8 - 25413*v**2\/8 - 8950311*v\/4 - 1490307 = 0.\nAnswer: -1484, -1339, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:14 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6542 - -6577.89. Let o = 441.357 + u. Let v = 477 - o. What is v rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2356857\/13604 - 9\/3401. Let f = n - -381\/2. Find the common denominator of 17388\/280*(-7)\/(-63) and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 3*k**2 + 3*k + 1. Let q be x(-1). Suppose -q*n + 2250012 = 5*g - 2*n, -2249984 = -5*g + 4*n. What is g rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/90*-5*(-3081)\/316*(-60)\/(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2\/9 - 1209356*g\/9 - 4837456\/9 = 0. Calculate g.\nAnswer: -4, 604682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 44835?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -297 - -147. Let f = -55 - d. Let n = f + 7. Is 34 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let y(g) = -3*g**2 + 25*g + 13. Let z be y(9). Let l(t) = t. Let q(o) = z*l(o) + 3*a(o). Let i(h) = 103*h**2. What is q(i(k))?\nAnswer: 103*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/2 - (-9)\/(-6). Suppose 8 = -3*y - 2*w, -4*w - g = -y - 3*w. Suppose 0*k**2 + y + 2\/9*k - 2\/9*k**3 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1082, 5, -1, 21, 1, -2 in increasing order.\nAnswer: -2, -1, 0.5, 1, 5, 21, 1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b. Let j(m) = -38*m + 85. Let o(u) = -4*c(u) + j(u). What is the tens digit of o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 7*z - 5733 = 9*z, 5*z = 4*x - 4600. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 1357788.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5517094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/390 - x**3\/39 - 23*x**2. Factor m(d).\nAnswer: 2*(d - 1)*(d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.7 + -21. Put -0.04, -4, r in increasing order.\nAnswer: -4, r, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -6)\/(25\/(-10)). Suppose -2*g = -s*n - 132 + 20, -4*n = -3*g + 171. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3495431057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/6)*f)\/(((f\/(f*f*f**(1\/6)*f)*f)\/f)\/f)*((f\/f**(-2\/7))\/f)\/f**(-7) assuming f is positive.\nAnswer: f**(223\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*x + 11. Suppose d - 2*m = 6, -2*d + 45 = d + x*m. Suppose -90 = -d*b + 42. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*k + 4*s + 146 = -6, 2*s - 5*s + 1 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -29 + 9 + 0 - 17 + 3*v. Let q be k(11). Which is the nearest to -14? (a) 2\/13 (b) q (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -61)*75105\/90. What is v rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(14\/63). Let a be (-47)\/240 - 24\/(-180). Put f, a, -2\/11 in ascending order.\nAnswer: f, -2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -51*y**2 - 4*y - 4. Let l(u) = 151*u**2 + 11*u + 11. Let q(o) = 11*f(o) + 4*l(o). Let x(g) = -1 + 1 + g. Give q(x(w)).\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 260 and 86112.\nAnswer: 430560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/15)*z)*(z\/(z\/z**(-2\/29)*z))\/z)**42 assuming z is positive.\nAnswer: z**(-12194\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141846421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -60886 + 196839. What is o rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77969.19l to millilitres.\nAnswer: 77969190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2280.526 - 2280.2779891. Let w = 0.248 - n. Round w to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39236 - -39236.1. Put 4, t, 2\/3, -179 in decreasing order.\nAnswer: 4, 2\/3, t, -179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195416691?\nAnswer: 3, 19, 79, 43397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3\/5*n**3 - 108\/5*n**2 + 0*n + 0 = 0.\nAnswer: -36, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*3*2\/9. Suppose 2*k + 12 = h*n, -4*k + 6 = -3*k + 2*n. Let g(z) = z**2 - 2*z - 5. Let c be g(4). Solve c*t + 6 + 0 = k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 3*g + 5. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -406681378 and -1.78.\nAnswer: -406681379.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 85*w**3\/3 - w - 27. Calculate the remainder when i(1) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11521.7899 + -11521. Round g to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5945004000 rounded to the nearest 1000000?\nAnswer: -5945000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiibibiiti. Give prob of sequence ibib.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8040 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - 1001?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 388471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 + 19*w**3 + 0*w**3 - 21*w**3 + 8*w**3.\nAnswer: 13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 61 + 2*c**2 - 4*c - 2 + 401 + 5.\nAnswer: -c**2 - 4*c + 465","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9236 is divided by 120.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i**3 - 53*i**3 - 61*i**3 - 158*i**3.\nAnswer: -227*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -15120.33.\nAnswer: 453.6099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272123, -544271, -816413, -1088549?\nAnswer: -1360679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 39 = -2*l + 36, 5*j - 30 = 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o**3 + 4*o**2 + 1. Let p(k) = -40*k**3 - 11*k**2 - 3. Calculate -2*p(b) - 7*y(b).\nAnswer: -4*b**3 - 6*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 = -3*t - 3*i, 0 = -3*t - 4*i. Suppose 180 = 10*y + 26*y. Let b be t + (-55)\/y - -2. Put 0, b, -2 in increasing order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/4*229\/(-2748))\/((-186)\/(-8)).\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344\/3 != 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -63. Let n = -14 - -39. Let f = y - n. Calculate the lowest common multiple of 14 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = -9 - 45 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46760870.\nAnswer: 2, 5, 13, 223, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 444 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(2 - 1 - 2)*(-8*w**4 + 5*w**4 - 2*w**4)*(0 - 2 + 5 + (-4 + 1 + 1)*(-4 + 4 - 2) - 4 + 5 - 4).\nAnswer: 40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -24. Suppose 0 = 4*i - 2*d + 4*d - 352, -5*d = 2*i - 208. Suppose -i = 9*l - o*l. What is the smallest common multiple of l and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46784, -1, -50, -2 in descending order.\nAnswer: -1, -2, -50, -46784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -216 not equal to -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60.4 - -9.6. Let m = d - 66. Let q = -8 + m. Which is the nearest to 3? (a) -2\/5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (108 + 10) - 6. Let l be 235 + 1 - (2 + 0). Let o = l + d. What is the highest common divisor of 16 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -16236*f**2 + 574*f - 574. Let j(d) = -80 + 300 + 85*d**2 - 71 - 76 - 3*d - 70. What is 3*g(p) + 574*j(p)?\nAnswer: 82*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*b**2 + 88*b - 47616 + 47616 as z*b + d*b**2 + p and give z.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 286+-3.5\nAnswer: 282.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 51*y + 51. Let p = -6 + 10. Put -5, 0, p, y in ascending order.\nAnswer: -5, y, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 - 186*g**3\/7 + 172*g**2\/7 + 456*g\/7 + 16 = 0 for g.\nAnswer: -14, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -2718, -6121, -10886, -17013, -24502, -33353?\nAnswer: -43566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2555928 and 189.\nAnswer: 17891496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0517, -0.4, 0.2, -9.29 in descending order.\nAnswer: 0.2, -0.0517, -0.4, -9.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349991, 349961, 349941, 349931, 349931?\nAnswer: 349941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45.31 times 5\nAnswer: 226.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.292 - -0.061. Let r = 0.2309883 + a. Round r to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + -2 + (-101969)\/(-49). Suppose -4*i + l = -g - 3129, i - 2*g - 1304 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13337*r**2 + 13337*r**2 - 20711*r**3.\nAnswer: -20711*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -145.37 rounded to zero dps?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 5*h - 4*h + (-h + h + h)*(57 + 21 - 15) - 7 - 5*h + 7 + 0*h + 2*h + 0*h.\nAnswer: 61*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - -1 - (3 - 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2)\/((-7)\/(-42)). Let z(o) be the first derivative of 6*o**2 - 8*o - 1. Let r be z(x). What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240*-21.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-180)\/16)\/5 + 3. Let i = -1426\/1065 - -2\/355. Which is the nearest to 1? (a) i (b) -1.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6633, -6635, -6637, -6639, -6641, -6643?\nAnswer: -6645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 165 - 111. Suppose -105 = -5*r + 2*r. Let u = r + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 157*r**2 - 2940*r + 5875. Give m(2).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -14 - (-48)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 equal to 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7490507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2))**(-17\/4) assuming k is positive.\nAnswer: k**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13337 = j - 229, 2*t - 13576 = -j. List the prime factors of j.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254507 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -27850.22 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*c - 66*c + 225*c)*(-2*c**2 + 0 + 0) + (-4*c**2 + 2*c**2 + c**2)*(c - 4*c + c) - 2*c**3 + 2*c**3 + 3*c**3.\nAnswer: -149*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 31 + 30*z**2 + 26 - 57. Let b(c) be the first derivative of c**2\/2 - 8. Determine b(o(y)).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:04 AM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/((-14)\/28) + 2175. Is (s\/1 - -2) + -1 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 22 = 46 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*w - 109 - 10*w - 11 - 218 + 87 in the form v*w + c and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -4, -1\/3, 150?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6950?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 19*k - 33. What is d(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 - 6*r - 3*r**2 - 6 + 8*r**2 + 5. Let u(y) = 4*y**2 - 5*y + 1. What is -6*u(j) + 5*x(j)?\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12 = 2*r, -436*u + 3*r = 443*u - 881*u + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -39 + 184. Let s = -29 - a. Suppose s = -i + r + 2 + 7, 2*i = 3*r + 19. Solve i = w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 46216*c**3 + 3*c**2 + 23153*c**3 + 22988*c**3.\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 323 + -3565\/11. What is the biggest value in t, 5, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -50*x - 1133 + 1133 - 3*x + 4*x - 2*x + 3*x - 6*x + x + (-2*x + x + 0*x)*(2 - 2 + 1).\nAnswer: -54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 101870480 divided by 6366905\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:11 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2149681, -4299574, -6449469, -8599366, -10749265?\nAnswer: -12899166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/4 + 1. Suppose 7*t = 4*t + 6. Let r be (9\/(-4))\/((-3)\/t). What is the nearest to o in 2\/7, 1, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 - 116*h. Let l(q) = -3104*q + 1. What is l(v(d))?\nAnswer: -6208*d**2 + 360064*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 844, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 15) in base 14?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2303400 (base 7) to base 3.\nAnswer: 112120121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2252 and 16307858.\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*t + 9, -t - 7 = -3*h - 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**3 - 2*t**3 - 12*t**3 + 2*t**3 + 2*t**3.\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 166 - 181 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.864405ns in milliseconds?\nAnswer: 0.000009864405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.2 (c) -1 (d) -3\/5 (e) -3\/103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34986897*m**3*z - m**2*z - 32*m*z - 3*m + 7*z + 91 wrt m.\nAnswer: 209921382*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53768 is divided by 1198.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**5 - 21*d**4 - 6*d**3 + 180*d**2 - 216*d.\nAnswer: 3*d*(d - 6)*(d - 2)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453 - 2*l**3 + 0*l**3 - 453.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 10. Let h be (-6)\/9 + (-46)\/f. What is the second derivative of 2*n**2 - n - h + 7 wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1 (c) 3272607 (d) -2 (e) 17 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Suppose 5*p + 12 = 62. Suppose y = -4*y + p. Let w(t) = 8*t**2 + 5*t**2 - 2*t**2 - 5*t**y. Calculate w(u(n)).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4893\/4 + -1223. Let -1\/4*t - 1\/4*t**2 + 1\/4*t**4 + f*t**3 + 0 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 97175938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:21 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 212?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744360 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 9*a - 64. Suppose 13*v = 15*v. Suppose r = -b + 74, v = 3*r + 2*r + 5. Calculate the remainder when b is divided by i(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 + 35*m**2 - 15*m - 32. Let v be n(17). Suppose -216 = v*r - 186. Let o = 66 + r. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**2\/7 - 13932*w\/7 - 8037840\/7.\nAnswer: -6*(w + 1070)*(w + 1252)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, -2 in decreasing order.\nAnswer: 20, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t**3 + 33*t**3 + 0*t**3.\nAnswer: 76*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -4*z, -165*z = -3*c - 158*z + 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - ((61 - 40) + -62 + 8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 10:01 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -55, -75, -95, -115?\n\"Answer: -20*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/(-24)*4 - 7).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-69124))\/(35\/(-56)). Is x at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/21*6\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*x + 4 = 0, 3*t + x - 3 - 1 = 0. Let f(q) = -61*q + 5 + 128*q - 69*q + q**t. Calculate the smallest common multiple of 20 and f(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -217083*t**2 + 8070*t - 75.\nAnswer: -3*(269*t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155 - 374. Let d = 219 + h. Solve -o - 4*o - 4*z + 10 = 0, d = -5*o - 2*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2358.\nAnswer: 5\/2358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 990300056 to the power of 1\/3, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 166*m**2 - 834*m + 20.\nAnswer: 2*(m - 5)*(83*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3634 - -5451. Suppose f - 284 = 7*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14280 (base 12) in base 7?\nAnswer: -144504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3595 + -275. What is the smallest common multiple of n and 18?\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r**3)**(2\/47)*(r*r**(-1\/2)*r)**(-12\/11)\/(r**(-5)*r\/r**3) assuming r is positive.\nAnswer: r**(2707\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1190660 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26517 and 10.1817.\nAnswer: -26506.8183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-2581 + 90*y + 2581).\nAnswer: 270*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31750214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*((-1*sqrt(39))\/sqrt(3) + -1*sqrt(13)*1 + sqrt(13))**2 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 11*c**2 + 11*c - 38. Give n(12).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 1. Let x be a(-4). Suppose 4*y - 27 = -x. Let w(j) = j**2 - 6*j + 11. Let q be w(3). Solve -4*l = -q - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 3. Let t be k(-4). Suppose -t*l = -1774 - 823. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**5 - 2*y**5 + 2*y**5)*(-5 - 19 - 34) + (-9*y**5 - 10*y + 10*y)*(-3 + 5 - 4) + 4*y**4 - 4*y**4 + 2*y**5.\nAnswer: -96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/((80\/12)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 5) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350325\/5190)\/((-18)\/(-8))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 9983867?\nAnswer: 9983873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 2. Let t(m) = 8*m**2 + 3*m - 109. Determine -t(p) + 11*y(p).\nAnswer: 3*p**2 - 3*p + 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 251 (base 6) to base 12\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172524?\nAnswer: 2, 3, 11, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 6 = 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (6 + 9) - -12 - (8 - 18).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**5 - 3205*d**4 + 2576006*d**3 - 12819200*d**2 + 15360000*d = 0.\nAnswer: 0, 2, 3, 1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.5 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13006976 divided by -331.\nAnswer: -39296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -4*z + 30 + 46, 4*y - 64 = -4*z. Factor -5\/4*v - 3\/4*v**2 + y.\nAnswer: -(v + 3)*(3*v - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*c = 414*c - 26488. Calculate the remainder when c is divided by 10*((-6)\/(-15) + 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 394700*w**2 - 1973584*w - 1578880.\nAnswer: 4*(w - 98680)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -358438 divided by -647?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b - 1. Let o = -7.3 + 8. Let z = -0.4 + o. What is the nearest to 2\/3 in -1\/6, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + sqrt(480)\/(-1*sqrt(10)) + sqrt(48).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = 0, 5 = -3*s - 5*g - 8. Is 9 a factor of (s*-3 - 1)\/(17\/(-170))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f + 2*f**4 + 6 - 37*f + f**2 + 44*f as p*f**3 + q*f**2 + v*f + b*f**4 + o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 7*k**7\/150 + 56*k**6\/75 + 51*k**5\/20 - 153*k**4\/20 + 36*k**3\/5 + 146*k**2 + 2*k + 4. Suppose z(c) = 0. Calculate c.\nAnswer: -6, -4, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from cdzvaczddcvda?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 154 + -80. Suppose 7*o = q - 4. Calculate the remainder when 167 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 2*a + 64. Suppose 0 = 2*c - 3*y - 20, 4*c + 0*y - 12 = -y. Solve -5*t - a = 2*u, -t - c = -0*t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5371, -5363, -5355, -5347, -5339?\n\"Answer: 8*q - 5379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 31 (c) -3\/2 (d) 0.088\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 342.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + n**2 - n + 17. Calculate u(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 76*o**2 + 211*o**2 - 1.\nAnswer: 287*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 72 + 9 = 0. What is the smallest common multiple of r and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -639 + 628. What is the second biggest value in b, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-323)\/95))\/(5\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/9 + 10*z**2\/9 - 8*z\/9 - 40\/9 = 0?\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396552 and 1189656?\nAnswer: 1189656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 585 = 5*s, 0*a - 5*a = s - 125. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1328 - 4028 = -10*r. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 2*i - 2. Let k be c(-2). What is the first derivative of -k*r**2 + r**2 - 4 + 5 - 4 wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 25 - 215 = 0. Suppose 2*r + 17 - 46 = -3*a, -2*a = -5*r + 63. What is the remainder when i is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 52531528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 454*i + 3. Let b(n) = -420*n - 3. Calculate -4*b(m) - 5*y(m).\nAnswer: -590*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 20 = g. Suppose -i + 10 = -g*w, w = -5*i + 9 + 15. Does 4 divide w\/((-62)\/30 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 526 = -5*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.55 - 26.65. Round v to 0 decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -39 + 46 + -26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 303 = -4*l, -3*j + l - 60 = 115. Let s = -45 - j. Let i(x) = x**3 - 14*x**2 + 2*x + 19. List the prime factors of i(s).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 7, h: 5}?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:54 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(56) + sqrt(280)\/(sqrt(15)\/sqrt(3)))\/sqrt(8)*-3 - ((-1*sqrt(77) + sqrt(77))*-3 + sqrt(77))\/(1*sqrt(44)))**2.\nAnswer: 3549\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((9\/7)\/3) + -1. Suppose o*f + 664 = 4378. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151419362537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = -3*m - 17. Let p = 210 - m. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13560012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-6\/7)*w*w**(-5\/2)*w)\/(w\/(w\/(w\/((w\/w**(-1\/3))\/w)))*w**(1\/5)))**(3\/17))**(-12) assuming w is positive.\nAnswer: w**(2802\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 15*t + 34 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5594*k - 27966. Let a be o(5). Let n be (-2)\/8 + 2\/8. Sort n, a, -2 in descending order.\nAnswer: a, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -19*i + 18. Let b be -2*(-1)\/i - 0\/3. Solve -4*j - 28 = 3*k, b = -3*k - 5*j - 31 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293180997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {v: 2, q: 1, x: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(2 + 0 - 3)*(6*b + 0*b - 3*b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108\/5 - 289\/15. Is 2 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -31. Calculate the remainder when 74 is divided by (-4)\/k*-57*1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*g**2 + 6 - 355*g**2 - 4.\nAnswer: -231*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 103301 (base 11) in base 15?\nAnswer: 34023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 73*y - 2. Let c(f) = -2*f**3 - 218*f + 7. What is 2*c(o) + 7*r(o)?\nAnswer: -4*o**3 + 75*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*j - 1, d + 5*j = -4*d - 10. Let z(o) = o - 4. Let m be z(7). Let t(q) = 8*q - 6 + m + d. Let w(n) = n. Give t(w(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**6\/120 - 17*p**5\/60 - 49*p**4\/24 + 3*p**3 - 19*p**2. Is q(20) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:38 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1\/6, -4, -2, 4.9577 in increasing order.\nAnswer: -4, -2, 1\/6, 3, 4.9577, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n + 48. Let k be v(-6). Suppose k = 345*j - 349*j + 20. Put -17, j, 0, -4 in ascending order.\nAnswer: -17, -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.48 + -0.4. Let y = -2.92 - j. Which is the third smallest value? (a) -0.4 (b) -4\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 75)*1\/2. Determine l, given that r*l**3 - 14 + 14 - 8*l**2 - 48*l**4 + 20*l**5 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/620 and -69\/124?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.619 + -816.619. Let o = u + 815.0001644. Round o to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 303*q + 401940.\nAnswer: -3*(q - 420)*(q + 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-13)\/(52\/24). Let a be 16944\/18 + -5 - 3\/z. Round a to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 176935?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -0.8. Let z = -11.2 + d. Let a = z - -10.999912. What is a rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7341.\nAnswer: 3, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -236*k**2 + 2*k. Let p(x) = 3*x. What is p(y(d))?\nAnswer: -708*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 45 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 3 - (2 + -5). Let c = 1 + i. Suppose 5*b - 139 = f, c = b - f + 6*f. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 416*m**2. Let a(d) = -65*d - 9. Let x(s) = 29*s + 4. Let n(p) = -4*a(p) - 9*x(p). What is h(n(k))?\nAnswer: 416*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-1\/15))\/q*((((q*q**(-3\/4))\/q)\/q)\/q*q*q)\/q)\/(q*q\/q**(1\/3))**48)\/((q*q\/(q*q**(2\/7)))**(-11\/4)*q*q**(-3)*q*q*q\/q**(1\/11)) assuming q is positive.\nAnswer: q**(-186251\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1432715.82000075 + 1432716. Let i = 0.18 - u. Round i to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/33)\/(q\/(q**20\/q*q)*q))**36)**(-39) assuming q is positive.\nAnswer: q**(-277056\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 549, 1213, 2135, 3315, 4753?\n\"Answer: 129*z**2 + 19*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*b = 6, 1 = 5*j - 4*b + 4. Let f(k) = k**3 + 13*k**2 - 10*k + 57. Let h be f(-14). Solve -x + h = -j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 - 4175549*h - 14985 - 61*h**2 - 34*h**2 + 4172624*h.\nAnswer: 5*(h - 37)*(h + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from qqtqqsqqtsqq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410810324?\nAnswer: 2, 19, 41, 131839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101010 (base 2) to base 11\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -41. Which is smaller: 9\/13 or c?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 7990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*w + 205*w - 2 = 4*z, -4*z = 5*w + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o. Determine c(-10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/20 + q**3 - 3*q**2. Differentiate j(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1535 + 2122*l + 2128*l - 4250*l - 360 - 2*l**2 as f*l + t + i*l**2 and give t.\nAnswer: 1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, z: 1, p: 5, e: 1}. Give prob of sequence zge.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + s + 5 = -2, 2*c = 4*s + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 12*k**2 + 21*k - 90. Let d be r(-14). Suppose j + 7*j = 0. Let h = 5 + -3. Solve -2*f + x + h = j, -2*f - 4*x + d + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + 3763?\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 249340 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7*h - 28 = 0. Let v be (h*-1)\/((-408)\/(-69) - 6). Let b = v + -43. Let t(d) = d**2 - 2. Determine t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 9}. What is prob of sequence vvv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*z - 4356 = 198*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-398)\/4179)\/((-4)\/3)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 681, 696, 715, 738, 765, 796, 831?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -209*j + 64 - 785 + 94. Let f(d) = -d**3 + 4*d. Let a(r) = -2*r**3 - r**2 + 7*r. Let b(n) = 3*a(n) - 5*f(n). Determine b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91882, -91815, -91704, -91549?\nAnswer: -91350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101 and 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*o + 3*r, 333*r = 338*r - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1.88 and 56\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.32, 2, -0.5, -17, -3 in ascending order.\nAnswer: -17, -3, -1.32, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8481743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/2240 and 17\/19192600.\nAnswer: 153540800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66382666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2))**(-1\/5)*(v**(-1\/2))**(-4\/7))**(-1\/3) assuming v is positive.\nAnswer: v**(-9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854041989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1061922674 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-4 + 2 + 0)*(-2*y + 6*y - 2*y) + 0*y + 3*y + 0*y.\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 22470*y**4 - 35239240*y**3 - 21432514400*y**2 - 3404731728000*y - 25884123520000 = 0. Calculate y.\nAnswer: -1420, -226, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201538 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (143 - (28 + 99)) + (-114 - (-3 + 0)).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -124 (b) -0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8699.04685 to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 3 - (-8)\/2. Suppose -a + i*a = 120. Suppose -n - 3 = -4*d, -a = -3*n - 2*d + 23. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -69. Solve p - 4 = 2*g, 2*p = -r*p - 2*g - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6797\/2 + -61169\/18. Which is the nearest to 0.3? (a) 0.1 (b) q (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -25. Suppose 0 = 4*b - v*b + 487. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4*h = -16, 3523*p = 3519*p - h - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9139166338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6*v - y - 12 = 0, -2*v + 16 = -5*y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55.582 or -0.5?\nAnswer: 55.582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 331*c**2 + 4*c + 4. Let s(j) = j**2 - 11*j + 24. Let l be s(10). Suppose 4*i + l = 2, -3*i - 6 = -3*y. Is r(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 2*m. Let q = -1\/6 - -19\/42. Let d = -457972 - -457976. Which is the closest to m? (a) d (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(4\/(-6)*-3). Suppose 3*q - 3 = 2*l, -h*l = -2*q + 2*l + 2. Let o be (-25 + q)*1562500\/3. What is o rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1016146497, -2032292994, -3048439491?\nAnswer: -4064585988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -94?\nAnswer: 10.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmemssemememmv. What is prob of sequence meme?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 - -2143?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 1\/2*i**2 - 7 + i. Determine z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6584*h**3 - 28982?\nAnswer: 19752*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {c: 2, o: 1, i: 1, y: 1, k: 1, n: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -2*s + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -548, -669, -830, -1025, -1248?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21412035 (base 6) in base 5?\nAnswer: 130430013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -49. Suppose -19*b = -z*b + 1259720. Let t = -15070 - b. What is t rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20110382*r + 8357695 wrt r?\nAnswer: 20110382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**2. Let s(c) = -12*c. Let a(o) = -o - 7*o - 17 + 17. Let t(i) = -8*a(i) + 5*s(i). What is k(t(h))?\nAnswer: 272*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76508212 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*x*z**3 - 47*x*z**2 + 263*x*z - 1080*z**3 + 358*z**2 wrt x?\nAnswer: -5*z**3 - 47*z**2 + 263*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1626 or -1628?\nAnswer: -1628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -1579.9.\nAnswer: 315.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/4)\/(1\/(-4)). Let w be (1 - 6\/g) + 0. Let i = 1\/39 + -85\/273. Is i greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1)\/(1\/(-5)). Let s be 5\/l + 18\/4. Suppose 10 = -2*h - 3*h. Put 0, h, s in increasing order.\nAnswer: h, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16373034?\nAnswer: 2, 3, 909613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -15288488\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkff. Give prob of picking 2 f and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -1.29, -1, 19, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.27125 - 4.17125. What is the second biggest value in -1, j, 0.3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36403, 36348, 36295, 36244, 36195, 36148, 36103?\nAnswer: 36060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -210614, -210611, -210610, -210611, -210614, -210619, -210626?\nAnswer: -210635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17754*t**3 + 38590 wrt t.\nAnswer: -53262*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 662*n**2 + 1631*n.\nAnswer: 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**6\/120 + p**5\/60 + p**4\/8 + 5*p**3\/2 - 13*p**2. Is 15 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u**2 + 2*u - 10. Let i(d) = -d**2 + 1. Let c = -38 - -52. Let j(l) = c*i(l) + 2*v(l). Factor j(f).\nAnswer: 2*(f - 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*i*x - h**2*i + 83*h**2 - h*i*x + 8*i - 252*x + 1 with respect to h.\nAnswer: -4*h*i*x - 2*h*i + 166*h - i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, -3, 1\/16 in descending order.\nAnswer: 2, 2\/3, 1\/16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -231881327 divided by 421?\nAnswer: -550787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664 = 4*b + 9*b. Let m = 127 + b. Let l = 64\/1377 + 1\/81. Is l less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 89360 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -68 (c) 9855 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 57.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/695? (a) -41 (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/85885 and 34\/4825.\nAnswer: 429425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12 - -7.52. Let n = g - 0.4. Let o = -6.999788 + n. Round o to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/410 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/5, 0.4, 5, -4, -9002, 77?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/15)\/((-6)\/9). Let v(n) be the first derivative of 9\/8*n**4 + 1\/4*n**6 + 1\/2*n**i + 0*n + 9\/10*n**5 + 0*n**2 + 2. Factor v(w).\nAnswer: 3*w**2*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38570 and 1982498.\nAnswer: 9912490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -901.5 (b) -0.4 (c) 2\/15 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4098040 divided by -10\nAnswer: 409804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 98 - 92. Let c be (u + (-18)\/(-12))*4\/11. Which is smaller: c or 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(24))\/sqrt(8) - (sqrt(12)\/(sqrt(8)\/sqrt(2)) - sqrt(30)\/(sqrt(20)\/sqrt(2))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 10*i. Suppose 0 = -5*f - 4*l, 5*f + i*f = -l + 15. Suppose -f*c = 2*u - 34, 2*u + 3*c - 57 = -3*u. Solve -3*g = -u - 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 9, -0.6996, 0?\nAnswer: -0.6996","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121800 and 20880.\nAnswer: 730800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315 and 161385?\nAnswer: 484155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/47900 and -83\/200.\nAnswer: 95800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:05 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -42, -1\/5, -0.186 in increasing order.\nAnswer: -42, -1\/5, -0.186, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3369, 0, 4 in ascending order.\nAnswer: 0, 4, 3369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 119 - -45643?\nAnswer: 45760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 74 + -9?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 2 - 13. Put 0, -1, t in ascending order.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318225 is divided by 53035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 13) to base 5.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20 + w - 11 - 16 - 5. Suppose 3*p - b - 28 = 0, 5*p + 87*b = 88*b + 44. Calculate m(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5553 divided by 107.\nAnswer: -5553\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 3*q. Suppose q = 4*a - 36 - 80. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Put -2, u, -4 in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 12}. Give prob of picking 1 k and 1 b.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*g - 5894 = -21410 - 17364 for g.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 3. Determine m(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0762 times 1437?\nAnswer: 109.4994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218536*a**2*z**3 - 81216425*a**2 + 140*a*z**3 with respect to z.\nAnswer: -655608*a**2*z**2 + 420*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/4 + (-14301)\/(-14) + -4. What is the highest common divisor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25*216\/(-3000))\/(-45).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3132*w + 129 + 908*w + 129 - 258.\nAnswer: -2224*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 17*y + 17. Suppose -2*b + 3 = -23. Let x(k) = k**2 + 8*k - 8. What is b*x(i) + 6*a(i)?\nAnswer: i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1) + 56\/(-30). Suppose 6*n + 12 = 8*n. Suppose 5 = v - n*v. Put a, v, -0.2 in ascending order.\nAnswer: v, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/9 - 8\/36. Let o = 10 + -14. Sort o, t, -1\/3 in descending order.\nAnswer: t, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1281157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 330 + -4948\/15. Let p(n) be the first derivative of a*n**3 + 32\/5*n + 8\/5*n**2 + 4. Factor p(c).\nAnswer: 2*(c + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1927372906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = i, 8*b + 5*i + 15 = 4*b. Let c(y) = y**3 + 5*y**2 + 3*y - 4. Let l be c(-4). Solve b = 5*n - l + 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206172850 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: Calculate the remainder when 15 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 86695 rounded to the nearest 100?\nAnswer: 86700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -351.1 less than 1.6961?\nAnswer: 352.7961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*m + 1 - 8, 3*s - m - 19 = 0. Suppose 0 = -s*d - 5*z + 1190, 3*z = -2*d + 6*z + 466. What is the remainder when d is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1206 + 1770. Is 47 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/4 (b) -0.2 (c) -2 (d) 2 (e) -1 (f) 386 (g) 16\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 6:41 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 202185, 404456, 606727, 808998, 1011269?\n\"Answer: 202271*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7.71344 (b) 3 (c) -0.029 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 + 8*w. What is x(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 2, m: 2, y: 4}. Give prob of sequence mm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-1\/3)*l)*l*(l**(-4\/11)\/l*l)\/l*l)\/(l\/l**1)**(2\/63) assuming l is positive.\nAnswer: l**(-1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(462\/(-2542)*-11 - 2). Let b = a - -5932. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-2 + -2*sqrt(54))\/((sqrt(384)\/sqrt(2))\/sqrt(6)).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592 = 645*a - 368*a - 351*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30489583 is divided by 255?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*c - 8 = -25, 21 = g + 5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -8*y**2 - 1696*y + 1696*y. Let c(o) = 9*o. Determine x(c(r)).\nAnswer: -648*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 116.\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/249 and 13\/27.\nAnswer: 2241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 13*f + 2*f)*(-3 + 3 + f)*(5*f + 0*f - 3*f) + (-2*f + 0*f + f)*(145*f**2 + 1637 - 1637) to the form h*f**2 + z*f**3 + a + p*f and give z.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1)\/((-4)\/20*-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 386 or 384?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1, -0.5, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45020, 91058, 138108, 186170, 235244?\nAnswer: 285330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 5254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*f**3 + 59*f**3 + f**2 - 2*f**2.\nAnswer: 149*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)\/(sqrt(4)*2 - sqrt(4)))\/sqrt(300))**2.\nAnswer: 17\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -941\/126 + 621\/14. Do r and 37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 12:43 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1688 = v, 0 = -2*z + 5*v + 650 + 447. Let g = 564 - z. Factor -6\/7 + 3\/7*i**4 + 9\/7*i + 3\/7*i**2 - 9\/7*i**g.\nAnswer: 3*(i - 2)*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 336 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1615\/426 + 3\/71. Let x = d + -9\/2. Are 3 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*t**3 + 1928*t - 30*t**3 - 47*t**3.\nAnswer: -3*t**3 + 1928*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j + 14. Let o(m) be the second derivative of m**3\/3 - 3*m**2\/2 - 27*m. Determine 6*d(z) + 28*o(z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1905.42 - -1905.4. Which is the nearest to -0.4? (a) -2 (b) y (c) 0 (d) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/403 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 526.339g in milligrams?\nAnswer: 526339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 896485 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1916 + -94255?\nAnswer: -96171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -57. Let l(q) = 4 - 3 + 3 - 4*q - q**2 + q**3. What are the prime factors of l(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 a when three letters picked without replacement from {v: 1, t: 1, a: 1, m: 2, f: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - p - 357 - 188, 5*o + 4*p = 655. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:38 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-3 - -3). Let o(q) = 1 + 4*q + p + 8*q. Is o(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171 is divided by ((-54)\/(-8))\/((-3)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 22. Suppose d = -4*l + 2*u + 20, 4 = -l - 3*u + 8*u. Solve -2*a - 4*y - 5 = -3*y, -3*a - y = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**2 - 20. Give h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5701*v + 5829*v + 4224 = 0 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/3 (c) 0.3 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-62)\/28 + (-2)\/(-4). Is u smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 4 + 1 + 0 - 3*x - 2*x. Let f be t(-4). Is f < -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-440)*70)\/((84\/(-32))\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 + -11.6. Let v = u - -13. Let s be (-5)\/4 - 153\/(-180). Put s, -5, v in ascending order.\nAnswer: -5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 3}. What is prob of sequence ffw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286696582?\nAnswer: 2, 167, 858373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*o - 2*o - 4*o)*(0*o - 2*o - o) + 16 - 3*o**2 - 3*o - 16 to the form h*o + k + y*o**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2. Let z(q) = -13*q. Let j(i) = 3*i. Let v(l) = 9*j(l) + 2*z(l). What is v(s(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 998 - 660a?\nAnswer: -5942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c4 (base 16) in base 5?\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 132?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 155*g - 2004. What is u(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 48d7a1?\nAnswer: -48d7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:06 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18349 - -32047. Is 52 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -230, -399, -604, -845, -1122?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2\/19 - 8*x\/19 - 8\/19 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 k, and 1 s when three letters picked without replacement from {j: 1, n: 2, k: 3, s: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23448*z**2 - 47734*z**2 + 24286*z**2 - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-1*(5 + (6 + -2)*-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/156) + 2*(1096\/16 + -64)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4886 (base 13) to base 14.\nAnswer: -3a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - 16\/(-60). Let p = -65.12 - -70. Let v = p + 0.12. What is the second smallest value in v, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*o + 23 = 2*n, -3*o + 5*o - 171*n + 172*n - 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/72842 and -53\/11.\nAnswer: 72842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 4\/7 (c) 0 (d) 0.31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/9 - 92*r**4\/9 + 598*r**3\/9 - 1328*r**2\/9 + 1240*r\/9 - 416\/9 = 0 for r.\nAnswer: -52, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 + 20*b - 47. Calculate o(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674.196 decades in months?\nAnswer: 680903.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - 125\/20)*48\/9. Solve -42*x - 5*u = -38*x - 20, x = -y*u + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 102.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/7, 1\/18, 2\/181, 5\/6 in increasing order.\nAnswer: 2\/181, 1\/18, 3\/7, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Let h(u) = -23*u - 20. Let o(k) = k + 21. Let j(z) = -h(z) - o(z). Calculate j(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.6, 0, -1\/2, 3\/7 in ascending order.\nAnswer: -1\/2, 0, 3\/7, 8.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/143 and -77\/3198.\nAnswer: 35178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**5 + 17*o**4\/4 - o**3\/3 - 17*o**2\/2 + 6*o + 115. Solve d(i) = 0.\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 4) in base 6?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 - 149*f - 139*f - 71.\nAnswer: -288*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 87 + -60. Suppose 3059 = 43*p + 90*p. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0702 - 4.9298. Is 0.138 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from {n: 4, p: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201 + 169 = 3*n - 4*q, -3*q = -5*n - 35 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -50\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*w + 14, -6*n = -2*n - 4*w - 8. Solve -17 = 3*d + r, -d - 2*r = -6*r - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13)\/r)\/r)\/(r*r**(-2\/55)) assuming r is positive.\nAnswer: r**(-2229\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187829916.\nAnswer: 2, 3, 193, 81101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.35732453 to the nearest integer.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 1. Let w(k) = 22*k - 76. Determine 10*c(s) - w(s).\nAnswer: -2*s + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 360\/693413 or 0?\nAnswer: 360\/693413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(72))\/sqrt(6))\/(-1*sqrt(24)\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.2 + 13.14. Let f = s - -16. Which is the closest to 0? (a) -4 (b) 2\/15 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 708, -5, -10, 1, 236 in decreasing order.\nAnswer: 708, 236, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2023420.24 - 0.43?\nAnswer: 2023419.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2505 and 2231454?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.9453 + -0.9453. Let t be (-23)\/(-2) - 1\/2. Let l = 43\/4 - t. Which is the fourth smallest value? (a) m (b) 5 (c) -1\/3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**3 - 7*a**2\/2 - 8. Find the second derivative of f(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-137)\/411)\/(390\/220*2\/(-54)).\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26798*c**2 - 14799*c - 14807*c + 29606*c as h + f*c**2 + g*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -232*t**3 + 1393*t**2 - 23*t + 113. Give p(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 4 + (2 - 1). Sort 0, 4, 3, r in ascending order.\nAnswer: 0, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 2144, -4 in decreasing order.\nAnswer: 2144, 41, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/9)\/v)\/v)\/v*v)**(-29\/3) assuming v is positive.\nAnswer: v**(638\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*n - 3*n + 1095440, -n + 1095450 = 5*t. Suppose 5*i - 830909 - t = 0. Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f - 10. Let l be b(7). Let j = 82 + l. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -1*(3 + -2) + 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:55 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 938381, 936668, 934955?\nAnswer: 933242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2827.3 - -2827. Which is the nearest to 0.3? (a) p (b) -11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/15 + 440924*w\/15 + 7200158\/5 = 0. Calculate w.\nAnswer: -220413, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 3)*(6 + -1). Let m = 3 + x. Let i be (2\/(-10))\/(6\/15). Which is the closest to -1? (a) 3 (b) i (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 5*h = -7*z - 3, 3*z = -h - 7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/4)\/((-3)\/2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84 + 13aab?\nAnswer: 13b62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from nttrk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 371500?\nAnswer: 371501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 + 8*t - 5. Suppose 19*a + 39 = -37. Let r(z) = 6*z**2 - 7*z + 4. Suppose 93 = -3*s + 78. Give a*d(f) + s*r(f).\nAnswer: -2*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*k - 30*k**2 + 337 + 3*k - 30*k + 28*k**2 + 7*k wrt k?\nAnswer: -4*k - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129184 or -127598?\nAnswer: -129184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y - 4*l = 64*y + 16, 0 = 2*y - 3*l - 12. Let u be (-1 + -2)*4\/6. Let b be (9\/u)\/(24\/(-32)). Solve h = -3*o - y*o - b, 0 = h - 4*o - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 8. Let t(j) = 7*j**2 + 4*j + 66. Let i(l) = -8*d(l) - t(l). Let s(y) = 5*y + 78*y**2 - 42*y**2 - 44*y**2 - 3. Give 6*i(f) - 5*s(f).\nAnswer: -2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 79833.\nAnswer: 4\/6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152906038.\nAnswer: 2, 29, 2636311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 83*n**3 - n**2 + n - 1. Let m be v(1). Let c = 13 - 51. Let r = m + c. What is the greatest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-1360)\/(-90))*(-2)\/(-9)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*5*sqrt(66))\/(6*(sqrt(6) + sqrt(1176))).\nAnswer: -sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -64470400 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3*j + 2. Let p = -42 - -45. Let t be k(p). Solve s + s + t = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 4*h + 5 - 5 + 2*h + (-2*h + 3*h - 2*h)*(-5 + 2 + 2) + 3*h - 5*h + 4*h)*(-4*h + 2*h - 2*h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*t**3 + 3899 - 3899 + 210*t**3 + 201*t**3 - 637*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Suppose -b + 7*y + 23 = 3*y, -5*b - d*y - 5 = 0. Suppose 21 = b*p - 15. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*s + 7444 = -716*s + 390*s - 3242 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - 71 - (11 - 9).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1442 (base 10) to base 4.\nAnswer: 112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.05397877 - -3.054. Round k to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1020135.1 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677\/5 + -135. Which is the nearest to p? (a) 2\/23 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 + 78812.\nAnswer: 78804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 108 (b) -4 (c) 0 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(27\/6))\/((-2)\/(-54)). Let y = n - 9. Suppose -y*c = -2*c - 49. Solve 2*f - 25 = c*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -2695, -1\/10, -0.8?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 10*q + 3. Let p be q\/11*-31 - (-8)\/44. Solve -17*r**2 + 65*r**2 + 41*r**4 - p*r - 89*r**4 + 192*r**5 - 189*r**3 = 0.\nAnswer: -1, 0, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4*g + 12 = 0, -45 = -4*g - 61 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1378 and -123\/530.\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 108*r**2 + 610*r - 88. Let m be i(6). Let a be 2 + 1*(-2)\/2. Sort a, m, 2.\nAnswer: m, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735679 is divided by 2350.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1614 and 149\/24.\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, -51, -2, 2\/11, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605*p**3 - 616*p**3 - 2672*p**3.\nAnswer: -2683*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 29. What is the greatest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10748906 divided by 1\nAnswer: 10748906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 27. Give r(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272.9 + -266. Which is the third biggest value? (a) 1 (b) -5 (c) -4\/7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 1, w - 2*w = 3*a + 1380. Let u = w + 4033\/3. Which is smaller: -40 or u?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2387289 and -101657.956.\nAnswer: 2285631.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -37*o - o**2 + 9*o**2 - o**3 + 27*o. Let u be j(6). Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 + 9)\/(2\/(-6)). What are the prime factors of ((-36)\/(-20))\/(b\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 1484. Let n = b + -522. Let h = n + 101. Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.1135, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**3*m**3 + 3*i**3*m**2 + 1263*i*m**6 + 3686*m**2 wrt m.\nAnswer: -6*i**3 + 151560*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -127, -178, -209, -214, -187?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388*o - 228501 = 367*o. List the prime factors of o.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrrrrmmrrzmrrpmrnmm. Give prob of sequence nr.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 19*q**2 + 2*q - 9. Give c(19).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -303159 + 1258*x + 303159 in the form l + i*x and give i.\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3507718.\nAnswer: 2, 67, 26177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -53\/2*m**2 - m - 36 + 11*m**3. Differentiate w(q) with respect to q.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/4 - 9*v**3\/4 - 13*v**2\/4 + 9*v\/4 + 7\/2 = 0. What is v?\nAnswer: -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.63 - -7.07. Let j = n - 9. Put 4, j, 5 in decreasing order.\nAnswer: 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 35 = 4*h. Let i(t) = -2 - 3 + t + 0*t. Let g be i(h). Solve -2*p + 8 = 4*s + g*p, -2*p + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4374458, -8748918, -13123378, -17497838, -21872298?\nAnswer: -26246758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87708529351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 112854 times -84.9\nAnswer: -9581304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22102011 (base 3) in base 11?\nAnswer: 4676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-3\/2)*p\/((p*p**(4\/5)*p*p*p)\/p)*(p*p**(-1))\/(p*p\/(p*p**(-4\/11))*p) assuming p is positive.\nAnswer: p**(-623\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, c: 3}. What is prob of picking 3 a?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 1\/120*g**6 + 0 + 7\/60*g**5 - 22*g**2 + 0*g + 5\/6*g**3 + 7\/24*g**4. Give q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - m = -7, 5*v - m = 65. Suppose 8*q = v*q - 92. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -53*v + 1. Let f(z) = -6864*z + 130. Let l(a) = -130*c(a) + f(a). Let p(q) = 4*q. Let s(j) = -j. Let t(r) = -2*p(r) - 6*s(r). Give t(l(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1410, -5660, -12744, -22662?\nAnswer: -35414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.56 - -5.44. Put -1\/12, k, -1 in ascending order.\nAnswer: -1, -1\/12, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 168 - 168 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(114)*-2 - sqrt(114) - sqrt(114)*-2*-2)\/((sqrt(6) - sqrt(162)\/sqrt(3)) + sqrt(42)\/(-1*sqrt(7) - sqrt(7)))*2.\nAnswer: -48*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y - 24 + 0*y**2 + 12 + 7 + 13 + y**2. Is 12 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103131000 - 1422?\nAnswer: -103132422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/3045, 1, 0, 0.4, 0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11789958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:46 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 7. Let o(m) = 80*m + 190. Let t(j) = 2*o(j) + 55*v(j). Let b be t(-2). Solve w = -b + 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 74. Let o = 7.00615 + q. What is o rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 111\/5. Let o = 2.4 + -6.4. Let m = o - -6. What is the biggest value in m, -0.5, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1464)\/(-30))\/(-4) - -8*1\/40?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208*r**2 + 5*r + 64 wrt r.\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 4:04 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2029 (base 11) to base 14.\nAnswer: -da5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5264032?\nAnswer: 2, 179, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -29 + -20 - (-15 + -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123 and 2455039?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -51.31.\nAnswer: 102.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 72 = -7*q. Let r be (-126)\/26 - 1\/q*2. Let z be ((-2)\/(5\/(-5)))\/(-2). Put 18, z, r in ascending order.\nAnswer: r, z, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52749 - -77959. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 28, -5*l = 8*k - 420686. Round l to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 43*m**2 - 41*m + 19. Let c(d) = -3*d**3 - 63*d**2 - 61*d + 28. Let g(w) = 7*c(w) - 10*x(w). Give g(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-9) + (-88)\/66. Let w(c) be the second derivative of 3*c**y + 2*c**3 + 0 - 6*c + 5\/8*c**4 + 3\/40*c**5. Factor w(g).\nAnswer: 3*(g + 1)*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 13 + 21. Is (-1)\/o*2 + (-747)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ee (base 15) in base 5?\nAnswer: -13444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294137 = 67*c - 296951 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10164 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 17*l + 17. Let g(b) = 4*b - 4. Let r be 0 + 1 + -1 + -2. Determine r*k(z) - 9*g(z).\nAnswer: -2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 318064963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:41 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 - (4 + -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.266 and 71.11?\nAnswer: -2223.32526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**3 + b**2 - 1. What is the smallest common multiple of s(1) and 43 + -10 + (-3 - (-9)\/1)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 51 = -15. Let a = x + -1. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538081886.\nAnswer: 2, 3, 11, 3643, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1008 = -266*m - 368 - 3329 + 715 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 1, j: 1, y: 1, r: 1, p: 1}. Give prob of sequence hprj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -18. Suppose 5*w + 231987 = -2*m, x*m + 3*w + 347985 = m. Let r = 44996 + m. Round r to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -35*m**2 + 3*m + 4. Let b(a) = 34*a**2 - 5*a - 5. Determine 2*b(l) + 3*w(l).\nAnswer: -37*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267550*s**3 - s**2 - 427418*s wrt s?\nAnswer: -1605300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/9)\/c**(-2))\/(c**(-4\/3)\/(c*c**(-4))))\/(c**(-1\/2))**(-2\/7) assuming c is positive.\nAnswer: c**(26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 1765284593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6135\/(-70) + 2*-2 - -4. Let m = -5336\/63 - v. Calculate the common denominator of m and (-359)\/(-60) + 3\/(-9).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*p**2 + 19038674*g**2 - 26*g*p**2 + 8*g*p - 97*g + 4*p**2 wrt g?\nAnswer: 6*p**2 + 38077348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**3 - i**2 + 4*i + 10. Let k(o) = o**3 + 4*o**2 + 0*o**3 + 2*o**2 - 1 - 2*o - 6. Let a be k(-6). Let s be h(a). Round s to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1*(sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117) + 0 + sqrt(117) + sqrt(117) + sqrt(117)))**2)*5 + (sqrt(13) - (4 + sqrt(117)))*-6*-6.\nAnswer: -57*sqrt(13) + 14481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/12 - 505*s**2\/2 + 1961*s. Let c(v) = 2*v**2. Calculate h(c(u)).\nAnswer: 4*u**4 - 505","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1163 + 428. Let w = -735.07 - d. Sort -0.04, 4, w in ascending order.\nAnswer: w, -0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.10094 plus -150051?\nAnswer: -150052.10094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 0.136?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*a**2 - a**2 + 262*a**2 + 519*a**2 + 326*a**2 to the form n*a + y*a**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:03 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 22. Let g = 4 - -4. Calculate the smallest common multiple of g and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 124*l + 532. Calculate r(4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -6*w + 234. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 121010 - -5112?\nAnswer: 126122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2 (c) 3 (d) -72 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1119\/2 in -2\/11, 0.4, 0.07, -0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18875 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17008573 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/880 and 51\/227200.\nAnswer: 2499200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 498*a - 359*a + 926*a**3 - 1186*a + 37*a**3 - 1122*a wrt a?\nAnswer: 5778*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:13 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -51*g**3 + 3*g**2 - 6*g - 6. Does 14 divide c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 6 - 1)*((3*s - 6*s + 2*s)*(6 - 3 - 4) - 6 + 5*s + 6)*(s + 4*s - 4*s + s**2).\nAnswer: -18*s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n = -9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let o = 8 - t. Let v = 42 - 43. What is the smallest value in o, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 24*t = -28*t - 32, 274 = 14*r + 2*t for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*p - 18*p - 13*p)*(0 - 1 + 4).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.776 - 0.814. Round i to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - b - b - 36, -z - 2 = 3*b. Suppose 7*x - z = 6*x. Suppose -2*y - x = -3*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(20) + -3 + (sqrt(20) - sqrt(80)) + 0 + sqrt(500))*-6)**2.\nAnswer: -2640*sqrt(5) + 18484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sffsssssgfsfssssffsf. What is prob of picking 1 s and 1 f?\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4167 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 505 + 695 + 1077.\nAnswer: 3*v + 1267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 minus 210.61698?\nAnswer: -308.61698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5008*f - 3*f**2 + 1668*f + 1672*f + 1671*f + 2*f**3 - 3 in the form z*f**3 + p + w*f + c*f**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3 - 3)*(1 + 0 - 3 + (5 - 5 + 1)*(6 - 1 - 3) - 7 + 12 + 8).\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 979000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218004 = 2735*m - 77376 for m.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - b + 1. Let l(u) = 2*u**2 - 11*u + 13. Let v(p) = -p**2 + 5*p - 6. Let c(y) = -6*l(y) - 13*v(y). Give -2*c(i) - k(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f - 108. Let q be h(-9). Let g(w) = 1 - 408*w + q + 404*w. Calculate g(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.9 (c) 2 (d) 2\/11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 24747855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/17544 and -91\/529244.\nAnswer: 3175464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3638 and 28676.\nAnswer: 487492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/296)\/(72\/(-19008))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**2 - 91 + 90 + x**3 - 29*x**2 in the form d*x**3 + h*x**2 + t*x + f and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-223.066.\nAnswer: 44.6132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 3 + (4 + 2 + 1)*(4 - 3 - 2))*(-6*o**4 + 6*o**4 + 7*o**4) to j*o**3 + z + h*o + s*o**4 + k*o**2 and give s.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 8 = 8. Which is the third biggest value? (a) y (b) 0.3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-182)\/8 + 0 + -1. Let u(x) = -x**2 - 25*x + 30. Let h be u(-27). Let f = h - t. Which is the third biggest value? (a) -6 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 g when four letters picked without replacement from {g: 11, d: 1, q: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) + (-750)\/(-36). Let x be p\/(-6)*(-24)\/21. Suppose x*h - 143 = 3*h. What are the prime factors of h?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225 is divided by 84?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2904066 < -2904063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5690 and 25530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = t - 141, -4*w - t = -3*t - 138. Factor 11*l**3 - 86*l**4 + 15*l + 81*l**4 - w*l**2 + 14*l**3.\nAnswer: -5*l*(l - 3)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 37 - 21 - 13 + p**2 to f*p + u + o*p**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:23 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 4*c - 4*c)*(2*c**2 + 3 - 3) + (2*c - 2*c + c**2)*(197*c - 37*c + 13*c) to the form s*c**3 + u + m*c + y*c**2 and give s.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1\/8 (c) -0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 258 + -255. Let z be ((-11)\/(-2))\/((-5)\/(-10)). Let v = z - 7. Sort v, -4, d.\nAnswer: -4, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.80623449 rounded to one dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 is divided by 46?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 36162396.\nAnswer: 253136772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -3\/7, 5, 13, 2, 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71965467 by -1468683.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -123?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 4*a + 2*t + 16, 3*a - t - 10 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 26*s**2 + 596*s + 2080.\nAnswer: -2*(s - 26)*(s + 5)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4401.20909 rounded to one dp?\nAnswer: 4401.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r - 13. Is 19 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42787755?\nAnswer: 3, 5, 950839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:15 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**3 - 32*h**2 - 5*h - 2. Determine v(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 4) + 19)*(-1)\/(-1). Suppose -3*n - 5*t + 21860 = 0, 20*n - g*n = -2*t + 36465. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702064 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 57. Let l = 53 - x. Which is the fourth smallest value? (a) -0.1 (b) l (c) -1\/33 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 5*g - 4 - 4, -3 = g + 4*b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 19*p**2 - 6*p + 24. Let r(o) = -9*o**2 + 3*o - 11. Calculate -6*d(m) - 13*r(m).\nAnswer: 3*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27a2 + 9?\nAnswer: -2794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 25 + 7 - 4 + 7*g - 4 to the form q*g + d and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, b: 1, p: 2, m: 11}. What is prob of picking 1 t and 1 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h**3 + 3*h**3 - 6*h**3)*(-1 - 2 + 2)*(-91*h + 12*h - 4*h) to y*h + w*h**3 + n*h**4 + g*h**2 + j and give n.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:02 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2. Let x(k) = -59*k + 309. Determine h(x(t)).\nAnswer: 6962*t**2 - 72924*t + 190962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 1, y: 2, f: 1, v: 2, b: 1}. Give prob of sequence vv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.53 + -0.23. Which is the third biggest value? (a) -3\/4 (b) g (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/(40\/(-8))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/161*10220\/(-4380)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165086592 divided by 31008?\nAnswer: -5324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 23*b - 129. Let a be n(-9). Let p be (72\/16)\/(2\/12). Suppose 12 = 3*r + p. Sort a, -18, r.\nAnswer: -18, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 9, 2\/9, 2, 5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((sqrt(30)\/sqrt(2))\/sqrt(3)) + -5)**2 + 3.\nAnswer: -20*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/(-2)*(-9)\/(-351)*-10684302 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -36, -12, 42, 132?\n\"Answer: w**3 + 6*w**2 - 25*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - 4*t**2 - 24*t - 187. Let m(x) = 21*x**3 - 11*x**2 - 70*x - 562. Let r(s) = 4*m(s) - 11*n(s). What is the first derivative of r(g) wrt g?\nAnswer: 21*g**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 1000011?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + -16) - 8 - (7 + (-6 - -7))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0.09 (c) 1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 16 = -0*a + 3*u, -2*a - 4*u = -24. Let y be (16\/(-28))\/(66\/(-21)). What is the third biggest value in a, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -4 (b) 0 (c) -0.1 (d) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/4)*m)**(-2\/39)\/(m**(-6\/7)\/m**8) assuming m is positive.\nAnswer: m**(1591\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 31, 4 in descending order.\nAnswer: 31, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 16. Let p = -12 - -12. Let d be 147 + (0 - p - 3). Calculate the highest common divisor of d and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -537?\nAnswer: 7\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 20987*a - 272451. Determine g(13).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 = 200*z - 1566. Let j(k) be the second derivative of 0 + 0*k**2 - 1\/6*k**3 - 1\/12*k**4 - 16*k - 3\/5*k**z. Give j(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-29 - -47) + 20\/(-2) - 7). Let k(j) be the first derivative of j**2\/2 + j + 1. What is k(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024075?\nAnswer: 5, 80963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*p + 16 = 0, a = 3*p - 0*p. Let f be (9\/a)\/((-3)\/52). Suppose 4*o + f = 130. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104665931*j**3 + 14*j - 6952412.\nAnswer: -627995586*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164\/277 in 1, -4\/7, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -23. Suppose 0*o - 4*o = -i - 1219, -3*o = w*i - 943. Is o a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622967 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -57. Let h = -0.16 + 2.16. What is the nearest to l in -0.5, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + r**3 + 15*r**4 + 4 - 3 + 2*r + 6*r**4 - 22*r**4 to the form p + o*r**4 + m*r**2 + y*r + g*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-210)\/(-9) - (-16)\/24. Calculate the highest common divisor of k and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/15)\/(204\/(-170))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -3, 6429, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 + 11*s - 15. Let r be z(8). Differentiate -r*q**2 + 0 + 12 - 4 wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 176370 and 61920?\nAnswer: 364027680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/108 and -1\/9477.\nAnswer: 37908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/4 - 5967*u**2\/2 + 11892195*u\/4 - 11844507.\nAnswer: 3*(u - 1987)**2*(u - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*o + 124 = 0. Let g(r) = -859*r - 7452. Let c be g(-9). Calculate the greatest common divisor of c and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v - 144 = 60*v. Suppose 0 = -3*q + v - 15. Calculate the smallest common multiple of 2 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/316586840 and -109\/1574080?\nAnswer: 2532694720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:17 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 493, 1\/28103, -1 in descending order.\nAnswer: 493, 1\/28103, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/4 (b) -14463 (c) 3 (d) 7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 4*u + 3. Suppose -5*l - 6 = -5*p + 14, -3*l = -5*p + 18. Suppose 5 + p = -2*b. What is the units digit of g(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(704) + 2 + (sqrt(704) - (sqrt(704) + -2 + 2)) + -1 + 2)**2.\nAnswer: -240*sqrt(11) + 17609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -4) + (3 + 1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 7*z + 7. Let o be 36\/(-24)*2*2. Let r be l(o). Let y be r + -2*(-3)\/(-6). Solve -5*h + 3*q - 1 = y, 4*h - 3 = 5*q + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 8) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 2, -236 in decreasing order.\nAnswer: 2, -236, -308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j**3 - 5*j**3 + 8*j**3 - 10*j**4 - 4*j**2 = 0. Calculate j.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20680 divided by 376\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 9:46 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(4 + -3 + sqrt(396) + -1 + sqrt(396) + (0 + sqrt(396))**2 + 1 + (1 + sqrt(396) + 3 + sqrt(396)*-2*-3)**2).\nAnswer: -59446 - 1044*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210002110101 (base 3) in base 6?\nAnswer: 12521531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.173936 rounded to 2 decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, d: 1, m: 6, p: 1}. What is prob of picking 2 j?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9945 and 233910?\nAnswer: 51694110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqh when three letters picked without replacement from {q: 2, h: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537546685*b**3 + 7*b**2 - 49640832*b wrt b?\nAnswer: 3225280110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 41, 142, 309, 542, 841?\n\"Answer: 33*t**2 + 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, u: 1}. Give prob of picking 3 d and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22819 + 873*m + 22819 - 877*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzehnzzzhzzzhgh. What is prob of picking 1 n and 1 g?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381006279 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/15*(-4698)\/(-144) and 411\/261 - (-1)\/(-3)?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1072\/87, 1.3, 5 in decreasing order.\nAnswer: 5, 1.3, 0.3, -1072\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -265*z**6\/6 + z**2\/2 - 8*z + 223. What is the second derivative of r(f) wrt f?\nAnswer: -5300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 15*k**2 + 19*k - 46. Let f be l(16). Suppose -i + 757 + 1020 = -f*m, -4*i - 3*m = -7108. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86651 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*a + 90 = 2*u, a = 5. Let v = 23 - u. What is the common denominator of -32\/3 and 385\/42 + 2\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 43319974 = -3*m, 8*n + m - 108299901 = 3*n. Let k be 2\/6 - n\/(-57). Suppose t - k = -t. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 48 = -8. Suppose 4*q - r - r - 2 = 0, 2 = 3*q - 2*r. Solve q = 3*y + w*y + 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*p*s**2*w + 2*c*p*s**2 + c*p + c*s - 8*c + 673684*p*s**2*w + 25*p*w - 2*s*w + 11 wrt s.\nAnswer: 4*c*p*w + 4*c*p + 1347368*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 7. Suppose -4*h = -3*x - 23, -c*h - 3*x - 9 = -2*h. Suppose 6*f - h*f = 16. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7920 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-31390)*(-90)\/(-9).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w, 3*w + 2*w = 2*f + 19. Suppose -2*m + 41 = -0*m - f*d, 0 = -2*m - 3*d + 35. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1388496818?\nAnswer: 2, 694248409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a millennium in months?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-252)*7*(-1)\/(3\/19)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:38 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114515 is divided by 4402?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -300 - -287.3. Let y = 12.7000065 + u. Round y to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 674.94 - 675. Let u = -0.8 + 1. What is the third smallest value in u, 1\/9, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let c = 3 + y. Let p(s) = s**3 + s**2 + s - 1. Let l be p(1). Put 4, c, l in decreasing order.\nAnswer: 4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110010000000100 (base 2) to base 15.\nAnswer: acde7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*m**4 - 2148*m**3 - 616*m**2.\nAnswer: 4*m**2*(m - 77)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2086*v + 21 = 2087*v - i - 7, 2*i - 350 = -12*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.63231 and 0.6.\nAnswer: 0.979386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.78 - 126.92. Let n = l + 156. Round n to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 331?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1095950308.4310827 - -594046918.4310888. Let i = -501903360 - t. Let l = i + -30. What is l rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*o = -66*o + 210 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/8))\/(h\/h**(-1\/13)))\/(h**(2\/7)*h**(2\/25)) assuming h is positive.\nAnswer: h**(-1231\/18200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-293)\/(15\/2 + -7). Suppose -3*n = -2668 - 317. Let t = s + n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31987.\nAnswer: 29, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = s + 5*v, -5112*v = -5111*v - 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.05. What is the closest to m in 2\/3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2. Let o(d) = 6*d**2 - 17*d + 17. Let w(t) = 2*t**2 - 6*t + 6. Suppose 0 = 7*v - 11*v + 24. Let l(z) = v*o(z) - 17*w(z). Give l(p(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 - -0.23. Let s = 0.66 - m. Let j be (-164)\/52 + 5 + -2. Sort j, 0.1, s in descending order.\nAnswer: s, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25975 greater than 25973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i - 8. Let x(c) = -6*c - 9. Let m(s) = -5*d(s) + 4*x(s). Let o be m(-5). Let n = 3 - o. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*o - 6, 0*o = 2*o. Let r = 7 + k. Suppose 0*t = -t + r, -3*w + 34 = -5*t. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-45)\/(-582))*-15. Let f be (p\/(-72))\/((-2)\/(-4)). Let i = f + -26\/3. What is the common denominator of -5\/7 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66155, -528550, -1783605, -4227650, -8257015?\nAnswer: -14268030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 527312472 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33702 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127600 - -127613. Let a = -333 - -502. What is the highest common factor of a and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 27. Let t(b) = -b + 9. Let x be t(14). Let g be i(x). What is the second derivative of g*s**3 - 5*s + 27*s + s**3 + 2*s**3 wrt s?\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4 + 167*y**3 - 1068*y**2 - 31716*y - 114480 = 0.\nAnswer: -6, 20, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 11*k**3\/2 + 11*k**2\/2 - 5*k. Is x(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -552*q**3 + q**2 - q - 3. Is d(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5382 = -1346*r - 11*t + 6*t, 5*t = -3*r + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v**2 - 3*v - 4. Let s be x(2). Solve 0 + 2\/7*a**s - 4\/7*a + 2\/7*a**3 = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - 1. Let k be z(-7). Differentiate 0*r - 21 - k*r + 3*r - r**3 + 5*r wrt r.\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, -221, -682, -1377, -2306?\n\"Answer: -117*g**2 + 124*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 3. Let u(j) = 4*j + 5. Let q = 8 - 6. Suppose 3*g = -q*g - 30. Let i(v) = g*u(v) - 10*m(v). Let r(z) = -2*z. Calculate r(i(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -277\/2 - -140. Let g(o) be the first derivative of 3\/4*o**4 - 4 - o**3 - d*o**2 + 3*o. Factor g(l).\nAnswer: 3*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6456700 and 5165360.\nAnswer: 25826800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 823 + -777.9. Let m = 45 - h. Which is smaller: 31 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495388?\nAnswer: 2, 3, 37, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 286 + 449)*(-z + z + z**2).\nAnswer: 708*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 948762 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.7 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-29)\/9 + 1)\/(-6). Let u be (0 - 76\/54) + 2. Let r = u - t. Which is the nearest to 1? (a) r (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h*h**2*h*h)\/h))**(-2)*(h*h*h*h**(-3)*h)\/h**(-2\/21) assuming h is positive.\nAnswer: h**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45\/163 - -433\/978. Let m = 47 + -44. Factor 0 + 1\/3*i + 1\/6*i**5 - c*i**4 + 1\/6*i**2 - 1\/2*i**m.\nAnswer: i*(i - 2)*(i - 1)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769951?\nAnswer: 223, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -117*v**3 - 702*v**2 + 25*v + 107. Let o(j) = -51*j**3 - 351*j**2 + 12*j + 53. Let i(d) = -3*a(d) + 7*o(d). Find the second derivative of i(x) wrt x.\nAnswer: -36*x - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 - x**3 - x**2\/2 + 10*x. What is the least common multiple of u(-5) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 4*s - 4, 0 = 2*g - 4*s + 8. Find the second derivative of 709*j**2 - 38*j - 709*j**2 - 17*j**g wrt j.\nAnswer: -204*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 210.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 5*n + 5 = 0, 3*z - 15 = 2*n - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409297148?\nAnswer: 2, 3, 7, 5592449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**2 - 21*b + 39. Determine c(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 5312199*p**2 - 24918192*p?\nAnswer: 6*p - 10624398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - 2.7. What is the biggest value in 25, c, 0, 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.74 times -0.28172\nAnswer: 6.9697528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -428*z**4 - 2*z**3 + 1037*z**4 - 41310*z + 2 + 2*z**2 + 41310*z to v*z**4 + l*z**2 + a*z + g + i*z**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) + -54*1\/(-4). Let j(p) = 3*p - 33. Calculate the remainder when 23 is divided by j(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 87, 1\/4, 35\/4637 in decreasing order.\nAnswer: 87, 2, 1\/4, 35\/4637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -11fe5f8?\nAnswer: 11fe5f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*h + 161 - 44*h - 82 - 79 in the form a + g*h and give g.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from {q: 7, b: 5, c: 1, d: 3}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + (0 - 9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:18 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 92. Suppose -3*q - m - m + 7 = 0, -2*q + z = 5*m. Which is bigger: q or -6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28099.617 months to millennia.\nAnswer: 2.34163475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-9))\/((-2)\/(-1797)). Let f = k - -850. Calculate the lowest common multiple of 2\/(-7) - f\/42 and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522315 + 1.4056.\nAnswer: -522313.5944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712413250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1*125\/1 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22082794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let f(x) = -x - 2. Let y(w) = f(w) - 2*t(w). Let n(l) = 19*l**2. Determine y(n(r)).\nAnswer: 19*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*b - 1 - 2*b**2 - 1 - 387*b - 1023*b - 1.\nAnswer: -2*b**2 - 1167*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -461855 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 = x. Suppose 5*r = -s - 0*s + 19, x = s. Suppose -28 = -r*o - 1. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + -4 + (-7542)\/(-423))*2\/(-8)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - -84 - (33 + 21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3552*3\nAnswer: -1.0656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:13 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -308 (base 12) to base 3\nAnswer: -121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from uueeeue?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 484654, 484659, 484664, 484669, 484674, 484679?\n\"Answer: 5*n + 484649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-97614)\/(-528) + -185)*(-1 - -8)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2) + -5*(-12)\/24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + 86*i**2 + 17*i + 9. Determine y(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1\/11, -4, 5\/2, 3\/4, -30\/67?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -26*p + 30. Let b(t) be the second derivative of -5*t**3\/6 + 3*t**2 + 25*t. What is -16*b(z) + 3*k(z)?\nAnswer: 2*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6068, -6071, -6074, -6077, -6080?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssbs when four letters picked without replacement from ksssbkkkkss.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 275 = 5*h - 819, -2*z = 2*h - 548. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4019884881\/9471088 - -2\/591943. Let x = w + -426. Calculate the common denominator of 43\/11 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 2, f: 3, m: 5, v: 1, l: 1}. What is prob of sequence mf?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - c - 23 = -5*c, 5*u - 2*c - 5 = 0. Suppose u = l + 2. Let k(m) = m**3 + 2*m**2 + m. Let p be k(-2). Put p, -1, l in increasing order.\nAnswer: p, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {a: 5, u: 14}?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 + 180. Let i be 6\/u*70\/(-3). Let w(m) = -27*m. Let j be w(-1). Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + t - 4. Let l(p) = -p**2 + p - 2. Let k(n) = -5*l(n) + 2*u(n). Let f(r) be the first derivative of k(r). Let s = -59 + 55. Calculate f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.313 and -10888.\nAnswer: -10887.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.6 + -1.4. Let q = 1255\/14 - 624\/7. Sort q, 3\/2, r in decreasing order.\nAnswer: 3\/2, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -7) + 175 + -170\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-2))\/((-21)\/168*-2*28)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -195218, -390426, -585634, -780842, -976050?\n\"Answer: -195208*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*z - 4, 6*i + 2*z = i + 22. Suppose 4*y - 28 = i*f, -2*y - 2*f - 6 = -0*f. Is (-1)\/y*(2 - 160) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(1*2\/37) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -4, -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3729 = 913. List the prime factors of d.\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = 8*i + i - 336 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 5*q. Is -2 + 17 + (-4)\/q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -7*a**2 + 85*a - 89. Calculate q(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*y - 114*y + 241*y + 36*y**2 + 30*y**2.\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0232 - -8.0232. What is the biggest value in z, -0.4, 1, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18614371 - 2?\nAnswer: -18614373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 811177?\nAnswer: 31, 137, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-720)\/270)\/((12\/9)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2542 divide 2884249596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 16 = -2*p, -2*t + 2*p + 8 = 0. Suppose 2*l = -t, r - 2 = 5*l + 15. Let g = -3 + 8. Solve 2*n - 2*x = -4, -r*n + g*n - 2*x = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4857120 and 5520?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 23 - (9 - 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 + 49. Suppose 5*y + 4 = 34. Let d be (3\/y)\/(2\/4). Which is the closest to -1? (a) i (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/103 + 288\/721. Suppose 9\/7*u**2 - b - 12\/7*u + 30\/7*u**3 - 24\/7*u**4 = 0. What is u?\nAnswer: -1\/2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 1. Let n(k) = 3. Let g(r) = -2. Let i(z) = -5*g(z) - 3*n(z). Let h(a) = -3*a + 7. Let q be h(-6). Let u = q - 24. Give u*i(w) - 2*v(w).\nAnswer: -2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 - 1111532?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116383659 - -0.3.\nAnswer: -116383658.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63625.214 - -63625.597999304. Let j = 0.384 - u. Round j to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 3, 0.009, 4\/5?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1319 - 400. Let s = 4300 - l. Suppose -5*j = 1514 - s. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314880 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 9*w**2 - 10*w + 11. Let y be c(8). Let t(n) = n**3 + 4*n**2 - 4*n + 7. Let a be t(y). Calculate the highest common divisor of 5 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 132\/21 - (-4)\/(-14). Is (501\/t)\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 20*c. Let f(s) = -81*s + 257*s + 207*s + 326*s + 89*s. Determine k(f(p)).\nAnswer: 15960*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 12*g + 14. Let f be i(-13). Suppose -5*j + f = 11. Which is the second smallest value? (a) 1\/4 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 5 + 4 - 7*t + 8*t.\nAnswer: 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, -5, 8.\nAnswer: -5, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/310 and 12\/155?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**3 - 16368*i**2 - 4225908*i + 4242280 = 0.\nAnswer: -3815, -278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4422456\/97 - 45596. Let h be (-6 + 473138\/57)*2\/10088. Let p = h + b. What is the common denominator of p and -13\/11?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7259958, -7259957, -7259956, -7259955?\nAnswer: -7259954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 52, 0.4, 4, 3679, 0.623?\nAnswer: 3679","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 65*t**2 + 186*t**2 - 249*t**2 + 45 - 23*t. Calculate i(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/1698624 - 2261340385\/1698624. Let r = q + 1330. Find the common denominator of 145\/24 and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**5 + 1380*g**4 + 12808*g**3 - 22080*g**2 - 203904*g = 0.\nAnswer: -9, -4, 0, 4, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 508\/14 + 4\/(-14). Let b = h - 33. Solve -b*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*p + 4 + 3 - 8 + (0 + 3 - 2)*(-2*p - 1 + 1) - p - 2 + 2.\nAnswer: -17*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1255*n - 1238*n + 4 - 4. Let t(x) = -8*x. Let y(k) = 6*p(k) + 13*t(k). Let c(r) = r**2 - 31*r. Give y(c(s)).\nAnswer: -2*s**2 + 62*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1956 and 1316.23?\nAnswer: 639.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - l - 110, -5*l - 10 + 0 = 0. Find the first derivative of 28 + i + 40*g - 19*g - 22*g + 6*g**3 wrt g.\nAnswer: 18*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(-5)\/2. Let v be -7 + (-8)\/4*-1 - -6. Is v at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 17955*g**3 - 3*g**2 - 10098*g**3.\nAnswer: -28053*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/216)\/((-608)\/(-57) + -10).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340\/3 + -112. Let 0*d**2 + 0 - k*d**3 - 4\/3*d**4 + 0*d = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = l - 16, -7*l + 11 = 2*y - 2*l. Let v(i) = -i**2 + 3*i + 0*i**2 + 1 - 3. Determine v(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6*5\/(-150)*-55?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4857 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 92) + 9 + 30\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.147 + -2.217. Let n = j - -0.07. Which is the smallest value? (a) 4 (b) n (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2)\/b)\/b*b\/b**4)**(-2\/31)*((b\/b**(-1\/2))\/b*b**(-1\/2)\/b)**20 assuming b is positive.\nAnswer: b**(-609\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*5*4\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -50363900 to the nearest 1000000.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -1) + 32 + -27 - 6) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 109*f**2. Let g(w) = w**2. What is j(g(c))?\nAnswer: 109*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*c**2 + 226*c**2 - 1369*c**2 + 293*c**2 + 286*c**2 + 285*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -195, -292, -389, -486, -583?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204732551.\nAnswer: 204732551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -12.2. Let q = 1.1 + g. Let w = q - -1. Which is the third smallest value? (a) w (b) 1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 39, 83, 145, 225, 323?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110604859103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rspx when four letters picked without replacement from {s: 2, x: 1, r: 4, o: 1, f: 2, p: 7}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 19*y - 14. Let z be u(-11). Suppose -4*b + 6 = -z. Let c(t) = -t - 5. Let d be c(-7). Solve -3*m - 7*g - 10 = -d*g, 2*g + b = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14608 + 21726. List the prime factors of x.\nAnswer: 2, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**17)\/w*w\/(w*w*w\/w**1) assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*j + 49*j + 125*j to v*j + t and give v.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29 - (1 - 0\/(-6 - -3)). Suppose 5*p - 2*h = k, 0*h + 27 = 4*p + 3*h. Is 7 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*l - 4*g, 5*l + 2*g + 4 = 14. Solve -l*m - 3*m - r = -12, -5*m + 27 = -4*r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7456875 is divided by 918.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(-29 + n + 29)*((n - n + n)*(-1 + 1 + 2) - 328*n - 336*n + 878*n) as h*n**2 + a*n + b and give h.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*o = -27*o - 9892. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 993668 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126547595 to the nearest integer?\nAnswer: 11249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/257 or 0?\nAnswer: -5\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24450228 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 4. Let h be n(-3). Suppose h*r - 10 = 0, 0 = -w - 3*r - 6 + 14. Suppose -112 = w*f - 6*f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.6. Let p = n - -0.961. Let f = p + -0.007. Round f to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 1000?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - r - 1. Let c(j) = -13*j**3 - 2*j**2 + 7*j + 7. Let g(i) = 2*c(i) + 14*q(i). What is the third derivative of g(t) wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 5*v - 2*v. What are the prime factors of (v - (-177)\/3) + (-1 - -4)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13908 - 13908 + 685*n.\nAnswer: 685*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1. Let u(v) = 11*v**2 + 6. Suppose 119*z = 8*z - 666. What is z*k(y) + u(y)?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/219 + 149\/657. What is the nearest to -0.1 in 0, j, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(2569\/392 - 6\/14 - 6). Let h be 4\/6*1\/2. Which is the closest to 1? (a) h (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let c(u) = -454*u**2. Determine c(s(i)).\nAnswer: -454*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.09 (b) -5\/6 (c) 5\/26 (d) -2 (e) 4 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2\/2 + 6*s + 1. Let r(y) = y - 25. Let a be r(20). Let p be f(a). What is the greatest common factor of p and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/70014 and -53\/45009.\nAnswer: 630126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -212 + -25?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 16 + 45 - -18.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 12 = -3*b. Suppose -2*s + 0*s = -b. What is the units digit of -1 + -1 - (-3 - s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 19c52?\nAnswer: 19c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -254 (base 11) to base 14.\nAnswer: -177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324304445?\nAnswer: 5, 19, 37, 257, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 39. Suppose -d = -3*c - 12, -2*d = 2*c + c + 12. Let j be y(d). Calculate the greatest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 120\/45*(-36)\/24. Let z = -11\/48 - 1\/48. Which is the nearest to 0.1? (a) z (b) h (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*q + 175*q + 413*q.\nAnswer: 781*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75702072 a multiple of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 211201120 (base 3) in base 8?\nAnswer: 40266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {a: 6, u: 1, e: 1, r: 5, s: 2, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucccuuucuuuuuuuc. What is prob of picking 2 u?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 633 and 50672283.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 3317146.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - t + 25 = 5, 4*f + 16 = -t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7863175509 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/9474 and -73\/10106?\nAnswer: 47872122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.5 - -14. Let d = x - 3.1. Which is the second smallest value? (a) 0 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*x + 1561*x - 439*x - 594*x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76947 and 81159.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -15, -58, -139, -270, -463, -730, -1083?\nAnswer: -1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*o - 25, 4*a + 4*o + 22 = 2*a. Suppose -175*h = -2*m - 174*h - 9, -2*h = 2*m. Sort -209, m, a.\nAnswer: -209, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 0*z + z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21f2 + 5?\nAnswer: -21ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70036*t**3 - 12634*t**2 + 1?\nAnswer: 420216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 7140 = -8*u. Suppose -u = -l - j, -j = l - 5*l + 2065. What are the prime factors of 2\/3 - (-8 - l\/15)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671340573 less than 137.43?\nAnswer: 2671340710.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*t - 364 - 418*t + 2*t**2 + 140*t + 125*t as z*t**2 + s + g*t and give s.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1180430659?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*l - 216*l - 329*l = 8188 for l.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 561263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 8:17 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 2765*u**2 + 2*u**3 + 1684*u**2 + 1468*u**2 + u**3 to f*u**2 + t + m*u**3 + v*u and give f.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 14413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 358, -93682, 5 in increasing order.\nAnswer: -93682, 5, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1486535176 rounded to three dps?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*o**3 + o**2 - 6*o + 14*o + o - 8*o to the form c*o**3 + d*o**2 + r*o + h and give c.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -6 + 0*n - 1\/9*n**4 - 2\/9*n**2 - 8\/27*n**3. Let c(y) = 0. What is y?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156589.\nAnswer: 7, 127, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 36729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*s = 23, -2*j = j + 2*s - 10. Suppose 75 = j*o + 5*h + 10, 0 = o + 4*h - 19. What is the derivative of o + 4*t**2 - 11*t**2 - 24 wrt t?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5\/7)*m**(-2\/21)*m)**(-40)\/(m**(-9)*m*m**5)**(-10\/3) assuming m is positive.\nAnswer: m**(-1210\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 593476874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 10398451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 276613, 553238, 829863?\n\"Answer: 276625*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15624271?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**3 - 23*t**2 - 31*t + 3. Let i(z) = 5*z**3 + 39*z**2 + 60*z - 7. Let l(c) = -4*i(c) - 7*o(c). Give l(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 26558.\nAnswer: -3\/26558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*a - 47. Find the first derivative of 5*t + 23 + a*t - 8 wrt t.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 d, and 2 l when four letters picked without replacement from {k: 5, d: 1, l: 1, j: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**40)\/n**(-3\/26))**29 assuming n is positive.\nAnswer: n**(31001\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/98 - 61\/98. Let h = -21 - -20.6. Which is the nearest to 1? (a) 4 (b) z (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -35\/9 (c) 3 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30009 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10. Is 11 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -5. Let f = -1 - t. Suppose k = 2 - f. What is the remainder when 4 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 74624*g**3 + 1341212158*g**2 - 1901911516032*g + 649566422747649.\nAnswer: (g - 671)**2*(g + 37983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872 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: b\"What is the tth term of -126, -188, -220, -228, -218, -196?\n\"Answer: -t**3 + 21*t**2 - 118*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 4:06 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*q + 36*q - 162 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -55*b**3\/3 + 48*b - 45. Differentiate s(f) with respect to f.\nAnswer: -110*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*n**2 - 43 - 173*n**2 - 172*n**2 + 43.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 42 = 4*o. Let h(k) = 23*k**3 + 8*k**2 + 0*k + 6 - 5*k**3 - 19*k**3 - 8*k. Calculate h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537195 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-1))\/4)\/((-16)\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875.7447 centimeters to micrometers.\nAnswer: 8757447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 9:39 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035811 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -29. Suppose -5*y + 4*k - 158 = 0, -y + q*k - 19 = -0. What is the common denominator of y and 2\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*b = -0*b - 13, -3*k - 3 = -3*b. What is the first derivative of -o**4 + 1 + 5 + 5*o**4 - k wrt o?\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 1:35 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6) + 3*(-30)\/164?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + -4 - -3). Suppose q + 3*c - 299 = z, 5*c + 554 = 2*q - 0*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3)*d)**(-6)\/(d**(-11)\/(d\/(d*d\/(d*d**(-2\/3))))) assuming d is positive.\nAnswer: d**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(42\/9 + -5). Suppose d*c + 3*w = 2511012, c + 4*w = 2*w + 837008. What is c rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -38\/747527?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 32 = 157. Solve 32 = -k*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148495 + -619895. What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gazfpzja. What is prob of picking 1 j, 1 g, 1 a, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*a - 24, -h + 2*a - 7 + 3 = 0. Suppose -h*l = -5*l - j + 24, -8 = -l - 5*j. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6680, -7130, -7580, -8030, -8480, -8930?\n\"Answer: -450*r - 6230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 11.91. Let k = 0.21 - y. Which is the nearest to -0.1? (a) -0.4 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -98. Let l be (d\/7)\/(-1) + 56. What is the greatest common divisor of 2 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12437922 to the nearest integer?\nAnswer: 3527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 + -83.\nAnswer: -83.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {h: 1, t: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32630 is divided by 453.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 4419*a + 13248 = 0. What is a?\nAnswer: -4416, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -112*i + 24. Let k be m(-1). Suppose 0 = 33*c - 50*c - k. Let a(b) = -b**3 + 3*b**2 - 10*b**2 + 3*b + 6*b + 3. Give a(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*m = -109*m + 65 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111111001100 (base 2) in base 5?\nAnswer: 342421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*p - 4, -2*p + p = 4*i + 5. Let h(a) = -10*a + 1. Let r be h(p). Solve 2*f + 5*z + 18 = 0, -5*f = -4*z - r - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.31 - 7.31. What is the smallest value in 2, w, 0.2, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 16 + (-3 - -8 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-253)\/(-759)*(12\/(-42) - 3974\/350).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515453325 (base 6) to base 15.\nAnswer: bbbb38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 - 2118*h**2 - 2120*h = 0.\nAnswer: -1, 0, 1060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38481535, -38481539, -38481543, -38481547, -38481551, -38481555?\n\"Answer: -4*a - 38481531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.958197 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3262654562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*n**3 - 8*n**3 - 12*n**3)*(0 + 0 - 3*n**2) + 2*n**5 + 2*n**3 + 0*n**5 - n**5 + 3*n**5 + 0*n**5 - 4*n**5.\nAnswer: 6*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 - 86. Find the common denominator of 0 + 3\/(-96)*j and (-1293)\/(-1254) - (-21)\/((-4389)\/(-22)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2*i + 0*i - 5 - 3*i + 5 + (1 + 0 + 0)*(i + 3*i - 3*i) + (i + 0 + 0)*(2 + 0 - 3) - 5*i + 7*i + 4*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274212 and 137106?\nAnswer: 274212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13228 + -13215. Solve 0 = -m - 3*j + x, 0 = -5*m + 19*j - 14*j + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18648 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l + 6. Let d be n(-7). What is the units digit of (9 - d)\/((-6)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - t**2 - t. Let x be f(-2). Suppose v = 4 + x. Calculate the remainder when (17 + -18 - (-8 + 2)) + 20 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355512 + -206.\nAnswer: -355718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(6\/(-27)). Suppose 2 = -2*s + d*s. Suppose 4*g = -5*m - 3, 2*g + 4*m - s = -8. Solve g = -u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162) + (4*sqrt(162) - sqrt(162))) + (sqrt(162) - (2 + sqrt(162)*4)))*-2.\nAnswer: 4 + 126*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007330.\nAnswer: 2, 3, 5, 13, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-t**3 - t**3 + 20*t**3) + 33*t**3 + 5*t - 21*t**3 - 19*t**3 as g*t**2 + m*t + u + b*t**3 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 53 = -80 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and 121\/5178?\nAnswer: 5178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 12, p = -1658*g + 1668*g + 26 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*h - 2*h + 5*h)*(0 + 1 + 3).\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -49.84*0.2561\nAnswer: -12.764024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11606 and 53874223.\nAnswer: 754239122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 64 + 46 = 0. Suppose 0 = 4*a - 4*y - 32, 1 = u*a + 5*y - 39. Solve 0 = -5*x + 5*j + 30, -2*x - 2*j + a = -3*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -9*v - 66. What is the tens digit of v*(-4 + 6174\/27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4\/((16\/24)\/(2\/12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1541\/7 - 26183\/119. Factor -z*b**4 - 8\/17*b + 4\/17*b**3 - 8\/17 + 6\/17*b**2.\nAnswer: -2*(b - 2)**2*(b + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = d - 5*c, 34*d - 12*c = 35*d - 35 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 2, f: 7}. What is prob of sequence xfwx?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(78) - sqrt(78)*-1)*-5 - sqrt(78))\/sqrt(6))**2.\nAnswer: 3146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3436 divided by 3.\nAnswer: 3436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 656*v + 26 - 98 + 26 + 27 to y*v + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -692641 and -0.3?\nAnswer: 692640.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 260\/28 + (-220)\/(-605) + (-206)\/22?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27383 (base 16) to base 11\nAnswer: aa76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -15464341?\nAnswer: 15464341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (78\/(-2))\/(-3 - -4 - 0). Let c be 13\/d - 254\/(-6). Calculate the highest common divisor of 147 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 2*t - 29 + 9, 0 = 5*t + 20. Let u(o) = o**2 - 2*o + 2. Calculate the remainder when u(y) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1140)\/18240)\/((-14)\/(-16)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8801129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2, -935.\nAnswer: -935, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 48927*z\/4 - 1529.\nAnswer: (z - 6116)*(8*z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j - 207 + 183 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -53*x + 30. Solve -3*c + 9 = 4*g, -2*g - x*c - 6 = -10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + 12. Let p = -36 - 0. Let l = p + u. Are l and -16\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (-5*sqrt(1539)*1*-4)**2 + 4.\nAnswer: 615604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3397088 (b) 2 (c) -2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 769, 1411, 2489, 4009, 5977, 8399, 11281, 14629?\nAnswer: 18449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-12) - (202 + 129426\/(-1332))?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.0220806 - 0.0139806. Let k = -16 + 43. Let j = k - v. Round j to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0 + (-1 + 1 + 3)*(-2 + 0 + 0))*(-8*r**4 - 3*r**4 - 4*r**4)*(2*r - 2 + 2).\nAnswer: 300*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14539*p**4 - p**2 + 1475*p + 8 wrt p.\nAnswer: 348936*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40585710 divided by -712030?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 412, 414, 418, 424, 432, 442, 454?\n\"Answer: y**2 - y + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*d + 5*q, -5*d - 2*q + 0 = -3. Let o(l) be the first derivative of l**3 + l**2 - l + 3. Give o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35061, 69611, 103671, 137247, 170345, 202971, 235131, 266831?\nAnswer: 298077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/12 + 28*j**3\/3 - 22*j**2. Let t be n(-17). Let i be (-8)\/(-177)*t\/(-88). Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -44, -0.3, 1\/3?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-236755)\/45 + (-6)\/27 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -266626, -1066499, -2399612, -4265953, -6665510, -9598271, -13064224, -17063357?\nAnswer: -21595658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - -2907 - 1*9. Suppose 10*i - 205 = c. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 3*i - 2. Let w be z(1). Suppose -2*a + 2 = w, 3*x - 2088 + 71 = 2*a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + -2 + (3*sqrt(325))**2 + (sqrt(156)*1*-6)\/sqrt(12)*-3.\nAnswer: 19*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*y + 65, -5*y - 2*k = -0*k - 129. Suppose y*a = 28*a - 151371. Let i = a + -33357. What is i rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 70782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -101*t + 384. Determine d(19).\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 5 + -1 + 4 + (-391 - -349).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4581 by 24.\nAnswer: 1527\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -753266 (base 8) to base 7.\nAnswer: -2065311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43883427?\nAnswer: 3, 7, 967, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 11*c + 15. Determine a(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-15)\/((-1560)\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70035 by 7.\nAnswer: -10005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18763*s + 7 = 18764*s - 3*r, 2*s + 5*r = 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230355 (base 6) to base 13.\nAnswer: -8bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 275*y**3 - 285*y**2 - 275*y + 280.\nAnswer: 5*(y - 1)**2*(y + 1)*(y + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 1)\/(-10 - -9))\/((-1)\/12). Calculate the greatest common divisor of 666 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8400230 to the power of 1\/2, to the nearest integer?\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**4 - 2*v - 120 wrt v.\nAnswer: 4*v**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(38)\/sqrt(2) + (sqrt(19) - sqrt(57)\/(sqrt(24)\/sqrt(8))))*1)**2 - (-2 + sqrt(931) + -1 + (sqrt(931) + 2)*1)**2.\nAnswer: -3421 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 10\/30*15. Solve -8*c - 5*q - 6 = -k*c, 3*c - 3*q - 12 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + 221?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1856 - 26?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27)*s)\/(((s*s\/(s*(s**(-1)*s)\/s))\/s)\/s*s) assuming s is positive.\nAnswer: s**(-2\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 274*d**3*m**3 + 3*d**3*m + 2*d**2*m**2 + 5*d*m**3 + 15 wrt d.\nAnswer: 1644*m**3 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9459681.02 rounded to the nearest ten thousand?\nAnswer: 9460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*v**3*z**3 - 413274*v**3*z + 24*v**3 - 525438*v**2 wrt z.\nAnswer: 213*v**3*z**2 - 413274*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*b - b + 36, 9 = b - 5*y. Suppose 0 = -3*u + b. Suppose 2*n - 14 = -2*p, 4 - 10 = u*p. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3288 (base 11) to base 3.\nAnswer: 12221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3441, -5309, -7177, -9045?\nAnswer: -10913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ascfcafaadafu. Give prob of sequence sad.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 487*x + 3 = -490*x, -2*x + 22 = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -p + 661. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 x when four letters picked without replacement from {x: 1, b: 16, k: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = -15. Let g be 9*6\/j*-5. Let k = 3 - -7. Calculate the greatest common factor of g and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(396) + 2 + 3 + sqrt(396) + (1 + sqrt(396) - sqrt(396)))**2.\nAnswer: -144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27272981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5686746468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 4*m + 12*m + 9*m - 24*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z, m = -0*m + z - 65. Let s = 21585\/7 + -3151. Let j = s - m. Find the common denominator of j and -109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36864 divided by -128.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754827728 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45952598 to the power of 1\/4, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-143) + (-82)\/(-451).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172 and 3041218.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlha when four letters picked without replacement from lhzahharzzuaur.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 2. Let q(u) = -4*u**2 - 17 + 17 + 2*u**2. Give t(q(f)).\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 35*t + 405547 + 44471 = 0. What are the prime factors of t?\nAnswer: 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 29*d. Suppose -2*w - 2*r = -22, -5*w + 7*r - 2*r = -55. Let n(p) = w - p**2 - 28 + 17. Determine a(n(m)).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -9*u - 72*u + 67*u. Let y(l) = -l. Calculate 5*q(g) - 80*y(g).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -2.87, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 54*t - 373. Determine q(46).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -3 + (7 - (-13 - (-28 - 3)))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 1\/8, 3, 3025, -0.3 in descending order.\nAnswer: 3025, 3, 1, 1\/8, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:21 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -34 and 198848362?\nAnswer: 198848396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12120\/505*(-4)\/((-1)\/(5\/10)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2925*a - 2884*a + 8728*a - 2922*a. Let l(n) = 10*n - 11*n - 14*n. Determine l(u(v)).\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 10*a - 6. Suppose -5*b - 38 = -3*l - 0, 2*l - 3*b - 24 = 0. Calculate the least common multiple of (5 + -1)\/(-2*l\/(-54)) and w(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) 1 (c) 0.3 (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1683 and 117290888.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -0.3. Suppose -q - 2*s + 6*s + 4 = 0, 2*q + 5*s = 8. Suppose -4*l - 16 = -q. What is the closest to l in p, 1, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 24800?\nAnswer: 24800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 - -126. Let g = v + 20. Let r be (-12)\/g + (-8)\/(-5). Solve 0 = -3*k - r*u + 23, 3*u = k - u + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 1, v: 2}. Give prob of sequence vp.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to 23268508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-349)\/35 - -10)\/((2\/1)\/14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 24 = a. Let x(r) be the second derivative of 0 - r - 1\/15*r**a + 0*r**4 + 0*r**3 + r**2 + 0*r**5. Find the first derivative of x(g) wrt g.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.3 + 16.2. Which is the closest to 1? (a) -9 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 37. Let a be 12\/(-136)*8\/(-6). What is the third smallest value in -4, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**3*r**4 - 12*a**3*r**3 + 262*a**3*r**2 - a**2 wrt r?\nAnswer: -120*a**3*r - 72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13*i = -12*i + 77464, -h + 5*i + 15488 = 0. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**2\/2 - 2*s + 7. Let a(c) = 2*c - 1. Give 5*a(b) - 4*f(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4988646 by -42638.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2769 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/180 and -13\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 42*m**2 + 2*m - 1. Let j be ((-2)\/(-10))\/(0 + 4\/20). Let u be k(j). Let z = 6 + u. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*r = 0, 177*r = -z + 179*r - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*c - 178382 = 0, 46*n + 4*c = 44*n + 89200. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1)\/3)\/(6\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 105*u - 282. Let a be j(6). Is (a\/24)\/((-3)\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 28.892. Let x = 0.192 + j. Let i = -14 - -13.8. Which is the nearest to -2\/11? (a) i (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:51 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 4 - 1\/40*o**6 + 5*o**2 + 0*o + 0*o**5 - 137\/6*o**3 + 37\/24*o**4. Differentiate s(n) wrt n.\nAnswer: -9*n**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, 4, -10, 275, 0 in decreasing order.\nAnswer: 275, 4, 0, -2, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42871 - 46219 = -62*f for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 836.9 + -2.7.\nAnswer: 834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085 is divided by 1984.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 2:26 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59323304 is divided by 2655?\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 406381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ml when two letters picked without replacement from {l: 2, i: 10, m: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 178283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -392\/3 (b) -2 (c) -2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 2)*(-1080)\/(-16). Let t = -133 + w. Solve 3*r - 11 = -t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -0.103.\nAnswer: -0.01957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/4, -1, 271 in increasing order.\nAnswer: -11\/4, -1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.65 minus 40?\nAnswer: -29.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 - 3. What is i(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3467 is divided by 895.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*p + 21 = 0. Suppose 0 = -f + p*f - 16. Solve 0*c + f = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/5, -0.07, 0.149, 0.3 in decreasing order.\nAnswer: 2\/5, 0.3, 0.149, -0.07, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 - 6. Let q(a) = -a**3 + a**2 - 1. Determine -j(c) + 6*q(c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkcwtllk. What is prob of sequence wkcw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 13 - h - 16)*((-3*h - 4*h + 4*h)*(h + 2*h - 2*h) - 6*h**2 + 4*h**2 - h**2).\nAnswer: 6*h**3 + 222*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:04 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 433*c**2 + 21*c - 6. Let w(s) = -216*s**2 - 12*s + 3. Determine -4*u(t) - 7*w(t).\nAnswer: -220*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*r**2 + 20*r**2 + 17*r**2 + 21*r**2 + 27*r**2.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - -51. Let b = m + -114. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163489 + -87138. What are the prime factors of d?\nAnswer: 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*f - 27*f + 2505131 = 2506121 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7*(-15)\/9)\/((-8)\/60). Let x = 102 - c. What is the common denominator of ((-111)\/20)\/((-3)\/(-2)) and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 333152 - 502089 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 39*d + 7142 + 4*d**2 - 16*d - d**3 - 18*d - 7144. Let r be (7 + -2)\/(1 + 0). Give k(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -8*d**3 - 26*d**2 - 32*d + 16. Let t(a) = -3*a**3 - 9*a**2 - 11*a + 5. Let g(p) = -11*t(p) + 4*z(p). Let c be g(6). Solve c*m + 25 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.004 - 91.996. Let i = -90.37 - j. Let a = i + -0.13. What is a rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 230910 to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57312 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10161 a factor of 1366888203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + 54. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 2, 5373.\nAnswer: 0, 2, 20, 5373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 444049?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 79490 and 2344955.\nAnswer: 4689910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1688?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -14*o + 4. Let m be c(-7). Let q = 170 - m. Suppose -h = -3*h - 4, -r + q = 2*h. What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*d + 20 = 8, -5*m - 3*d = 4. Let b(s) = -5501*s - 5. Is b(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*-1*1 + sqrt(133) + sqrt(133) + 2*sqrt(133)*2)\/(-2*(2*sqrt(567)*5 - sqrt(567))) + 1.\nAnswer: -5*sqrt(19)\/162 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2239 divided by -130679?\nAnswer: -2239\/130679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 932578650 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 433*p + 2658. Let s be o(-6). Solve s = -8*f + 12 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 3\/2, 0, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 9*u - 16 = 6*u, -s - 20 = -3*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 666 - 404. What is the common denominator of (-6)\/(-15) + w\/45 and 70\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Suppose -i*z + 95 = -10. Suppose 61*l - 3 + 21*l**3 - z - l + 78*l**2 = 0. What is l?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-2\/7))\/j)**37\/(j*j*j*j\/j**(1\/2))**22)\/((j**(2\/3)\/j**(-6))\/((j\/(j*(j*j**4)\/j))\/((j*j**(2\/21))\/j))) assuming j is positive.\nAnswer: j**(-1621\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*5*(-5 + 1*sqrt(637))*-2)**2*-5 + -4.\nAnswer: -331004 + 35000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18)*342\/(-3458)*-14\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**3 + 79*l**2 - 17*l. Let r(h) = 3*h**3 + 176 - 176 + 6*h - 26*h**2. Let p(o) = -6*j(o) - 17*r(o). What is the third derivative of p(y) wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 145 = 60. Let c = l + -16. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10880 - -10879.9970613. What is h rounded to four dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0186 - -2.4514. Let c = -0.048 + -0.282. Let j = m - c. What is j rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/3 - 72306862*y**2 = 0?\nAnswer: -216920586, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -745.\nAnswer: 2\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1031 times 0.2\nAnswer: -0.02062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 0 + 53\/2*h**2 + 13\/12*h**4 + 0*h**3 + 35*h. Differentiate m(u) wrt u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 8*u**2 + 1\/30*u**5 + 0*u + 0*u**4 + 0 - 1\/3*u**3. Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 840*k**3 + 10*k**2 + 2*k - 35. Is m(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 107, 137, 201, 311, 479, 717, 1037?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108*t**3 + 1486*t - 1486*t)*(t + 3*t - 3*t) + 2*t**4 - 2*t**4 + 74 - 2*t**4 as x*t**4 + f + c*t**3 + p*t + v*t**2 and give f.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*l + 261 = 276, -3*k - 3*l = -15. What is the third biggest value in 5, -1, 13, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-355)\/(-355))\/(1*(-2)\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 739671 divided by -4.\nAnswer: -739671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 339927 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 60.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/729 and 7\/486.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 187162723 to the power of 1\/2, to the nearest integer?\nAnswer: 13681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12059 + 4185?\nAnswer: -7874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 143 = 233 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {e: 1, f: 5, x: 2, y: 11}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2. Let r(k) be the second derivative of 0 + k + 1\/3*k**3 + 0*k**2. Determine o(r(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (69 + -37 - (23 - 4)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 102543 = -7473. Suppose -18*i = -o + 216. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aia.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 114, 112, 136, 198, 310?\n\"Answer: 2*j**3 + j**2 - 19*j + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217806.73667 + 217800. Let m = 6.73 + c. What is m rounded to four dps?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 13*o - 1826. Let f(u) = 2*u**2 - 6*u - 913. What is 6*c(j) - 13*f(j)?\nAnswer: -2*j**2 + 913","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/1259 + -44053\/7554. Calculate the common denominator of 4\/10 + 8\/(6720\/99) and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.147*760.6\nAnswer: -111.8082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8031890 - 16063780 - 33*f + 8031890 + 40*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a - a**3 + 34*a - 61*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 7000292.\nAnswer: -700029.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -111*v + 6. Let l(a) = 334*a - 20. What is -10*b(r) - 3*l(r)?\nAnswer: 108*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/29893455 and -85\/4.\nAnswer: 119573820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r - 3*r + 5*r - r + 2 - 2 + 2 - 2 - 2*r + (3 - 5 + 0)*(-3 + 3 + 2*r) - r - 2*r + 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**3 - 3*m**3 + m**3)*(m - 3*m + m) - 12*m**4 - 19*m**4 + 4*m**4 to the form o*m + z*m**4 + n + u*m**2 + r*m**3 and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 758247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -6*y + 11. Does 10 divide -2 + (y - 4) - -38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5826 divided by 8.\nAnswer: -2913\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**6\/15 - y**4\/3 + 2*y**2 + 5. Let j(c) be the second derivative of v(c). What is the second derivative of j(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -2)\/2*2. Suppose 21 = f + z*f. Let d = f - 4. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -9*d**2 + 4684. Let m(o) = -221*o**2. Give r(m(p)).\nAnswer: 3978*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(2\/7)\/d)\/d**5)\/((d*d**(-8))\/(d\/(d\/d**2))))**(-28))**36 assuming d is positive.\nAnswer: d**(-3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 13*k - 10. Suppose 5*n + 10 = 2*c, -c + 3*n = 8*n - 20. Let o be y(c). Calculate the common denominator of (o\/25)\/(6\/125) and 50\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33326*m**2 + 78652*m wrt m?\nAnswer: 66652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10826 + 876920\/81. What is the common denominator of -52\/7 and i?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 11:53 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 282*g**3 + 5*g**2 - 21*g - 21. Let d(i) = -143*i**3 - 3*i**2 + 12*i + 11. Determine 7*d(h) + 4*v(h).\nAnswer: 127*h**3 - h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -81*z**5\/20 + 33*z**4\/2 - 38*z**3\/3 + 4*z**2 - 2*z. Factor f(p).\nAnswer: -(p - 2)*(9*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15571 is divided by 147?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 - 153. Suppose 3*t = -l + 3*l + 532, r = l + 2. Is 44 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120088, -239631, -358104, -474973, -589704, -701763, -810616?\nAnswer: -915729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/5 - 1\/5*x**5 - 2\/5*x**2 - 13\/5*x - x**4 + 14\/5*x**3 = 0. Calculate x.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -10. Let a = 2 + c. Let r = 0 - a. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/25*(-15)\/2*(-2)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.078012 and -1.13?\nAnswer: 1.051988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*m + 763 = 0, -4*y + y - 2*m = -2250. Suppose -2220 = -3*b + 3*s, 0 = -b - 0*s + 3*s + y. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - u**3 - 2*u**3 + (-6*u**3 + 3*u**3 + 0*u**3)*(306 + 370 - 352) to j*u + m*u**2 + x + l*u**3 and give l.\nAnswer: -976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41200342921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n + 16. Let r(y) = 17*y - 15. Let o(l) = -2*j(l) - 3*r(l). What is the derivative of o(k) wrt k?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4493b - -24b8?\nAnswer: -42443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u)**1)**(-45)*(u**(-5)\/u*u**2*u)\/((u**(-1\/4)\/u)\/(u**(-2\/3)*u)) assuming u is positive.\nAnswer: u**(-1097\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300694889?\nAnswer: 11, 1367, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -27.3.\nAnswer: 1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14708 and -794132499?\nAnswer: 794117791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - 2*z + (0 + 1 + 0)*(2*z - 3*z - 2*z) + (1 - 2 - 1)*(2*z - 4*z + z) - 4 + z + 4.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 8, 20, 32, 44, 56?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 2 in increasing order.\nAnswer: -0.4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 57*n**3 - 3*n**2 + 32*n - 11980. Let g(u) = -58*u**3 + 4*u**2 - 37*u + 12007. Let v(k) = -6*c(k) - 5*g(k). Differentiate v(r) with respect to r.\nAnswer: -156*r**2 - 4*r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krzrzrrss. Give prob of sequence kzzr.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(612) + -1*sqrt(612) - sqrt(17))*-6)**2.\nAnswer: 60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 522820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let r be q(-3). Suppose 0 = r*x - 3 - 6. Solve x = 3*w - 4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxdd when four letters picked without replacement from dxdxddxdxddx.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 137*u. Let y(x) = x**2. Give f(y(s)).\nAnswer: 137*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnsssn. What is prob of picking 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 4) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(637) + (6*(1 + sqrt(637)))**2 + sqrt(637) + 0).\nAnswer: -68904 - 1554*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96.3 * -6.184.\nAnswer: -595.5192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 8 = -3*v - 0*p, -2*v - 5*p = 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2 - 30*q + 18. Let u be f(-16). Suppose i - 2*o + 3 = 0, i - u*i - o - 18 = 0. Which is smaller: i or -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3636 = n - 5*n, -n + 908 = s. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -4*y. What is the units digit of (5\/((-15)\/9))\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0 + 0)*(3*v**4 - 5*v**4 + v**4 + (3*v**2 + 2*v - 2*v)*(-6*v**2 - 7*v**2 + 19*v**2)).\nAnswer: -34*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*g + 291365 - 1593665. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35419167 smaller than -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/11 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 15*z + 15. Let s be x(10). Let n = s - 34. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (5*(sqrt(208)*-1 - sqrt(208)))**2) - (-2 + ((sqrt(208) - sqrt(208)*-2)*-1 - sqrt(208)))*1.\nAnswer: 16*sqrt(13) + 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62119097 to the nearest integer?\nAnswer: 7882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119475 and 1150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 4, -3, 3, -4 in descending order.\nAnswer: 4, 3, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17306211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 781 and 55?\nAnswer: 3905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 3.4.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5086?\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*a - 3*x, -a - 2*x = -3*a - 2. Let d = 386 - -132. Let o = d - 521. What is the closest to -1 in -4, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:03 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 take away 96626?\nAnswer: -96284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9}. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-54755)\/2330)\/((-3)\/(-6))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*w - 5*j = 114*w + 524, 0 = -2*w + 4*j - 1020. What is w rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 36 = 0. Let q be d\/(-8) - (-94)\/4. Suppose 4*a + q - 1 = 0. Let s(k) = k**3 + 6*k**2 + k - 5. Calculate s(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 0*k**3 + 0*k**5 - 2*k + 0*k**4 - 51 - 1\/2*k**2 - 19\/3*k**6. Find the second derivative of l(n) wrt n.\nAnswer: -760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*a = -108*a + 40 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 14*o - 12*o - 11, 0 = -2*o + 2. Let w = 5 - z. Solve -2*r - w*r = 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131483820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 0.1. Let c = 1.46 - w. Let t = 0.06 - c. Sort t, 3, 1\/4.\nAnswer: t, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 869?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(27 - 27 - 8*l) - 2*l + 2*l - l + 3*l + l - 6*l + (l + l - l)*(1 - 2 + 0) - 4*l - l + 4*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.1. Let t = -0.227 + 0.244. Let v = t + -0.017. Which is the nearest to m? (a) -0.05 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 4*w**2 - 2*w + 1. Let j be r(-3). List the prime factors of 81 - (-4)\/((-20)\/j).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -28 - (1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from izizicurwuczzrc?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let m be -5*(1 + 8\/12*-1). Which is the closest to -1? (a) y (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*k - 20 = -4153*k - 3486 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/(-4*sqrt(8)) - (5*sqrt(15)*-6 - sqrt(15))\/sqrt(5)) + 3.\nAnswer: 3 + 63*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 341 - 341.1. Which is the closest to -2\/5? (a) -9 (b) u (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15667.003091 - -15667. Round c to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 75492?\nAnswer: 75492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (13\/(22 - -4))\/(4\/72). Which is the third biggest value? (a) -239 (b) 0 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 9217*k**4\/4 + 21*k**3 + k**2\/2 - 2*k - 4148. What is the third derivative of r(b) wrt b?\nAnswer: 55302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h**2 - 249 + 343 - 88.\nAnswer: 14*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (3 - (-22)\/(-2)). Suppose -158 = -b*m - 38. Let w = m - 5. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**34)**(-36) assuming z is positive.\nAnswer: z**1188","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) 516 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 50*q**2 - 28*q + 62. What is y(3)?\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + u + 10, 2*u = -g + 4*u + 11. Let t be g\/(16\/14 - 1). Let x = t - -32. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y. Let o be (-1 - 12\/(-28))*(-14)\/4. Let d(p) = -22*p**o + 20*p**2 - p + p. Calculate a(d(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -y - 10, d - 175 = y - 183 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:32 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*r = -2*n - 8, 4*r + 76 = -3*n. Let l be 20 + n + -1*1. Is (4 + 21 - 2) + l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*v = 109 - 263, 27 = -3*v. Let g(a) be the first derivative of -1\/24*a**6 + 1\/10*a**5 - 1\/3*a**3 + c - 1\/2*a**2 + 0*a + 3\/16*a**4. Factor g(i).\nAnswer: -i*(i - 2)**2*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-15 - (14 + -12)) - -4 - (-3 + -85).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 6 + -11 + 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 4*o)*(0*o + 2*o + 0*o - 1).\nAnswer: 8*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/178830450 and 83\/34308.\nAnswer: 357660900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 + 70967580*r + 251819870552820.\nAnswer: 5*(r + 7096758)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-5)\/(-5)) - (-3)\/1. Let k = 2 - 1. Let v be b*(107142 + 1) - k. Round v to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*h, -3*j + 8 = 2*j - 2*h. Suppose -18*b + 21*b = j. Solve b = -4*o, 5*o - o + 10 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216\/(-12236)*-115*(-21)\/6.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -731787*v - 506907*v + 1238693*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1172? (a) 3 (b) 0.3 (c) 0.19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249.9 times 0.04?\nAnswer: 49.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, v: 1, y: 6}. Give prob of sequence vgy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -43. What is the remainder when 7 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3*u**3 - 232946465*m**2*u**3 - 144*m*u**3 + m - 649*u**3 + 106*u**2 wrt m?\nAnswer: -6*m*u**3 - 465892930*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by 9503?\nAnswer: -36\/9503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*j**2 - 1172*j + 1172*j)*(j**2 + j**2 + 4*j**2) - 2*j**4 + 4*j**3 - 4*j**3 to the form n*j**3 + q*j**4 + w + v*j + u*j**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 11*u - 28. Let w be z(14). Suppose 3*d + 4*n = 12 + w, -d + n - 3 = 0. Solve d*s - 5 + 3 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1057 - 614. Let r = y - 442. Which is the second biggest value? (a) r (b) -0.2 (c) -86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35367311?\nAnswer: 7, 31, 349, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -75*n + 70*n + 19, -35 = -5*g - 4*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3781.014 centuries?\nAnswer: 4537216.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 1540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 0 + (0 - -1). Let w(n) = n**2 - 3*n. Let y be w(3). Let z = 5 - 3. Solve y*k + h = -z*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -32*a - 2 + 34*a + 0 + 5*a**2. Let q(v) = -6*v**2 - 3*v + 3. Determine 3*d(n) + 2*q(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 130\/30. Suppose g*n = 325 + 155. Is n a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87\/2 of a meter?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 78*h + 81.\nAnswer: -3*(h - 1)*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -26) + (-2 - -1). Suppose -40*j + 20 = -39*j. What is the third derivative of -3*m**2 + 0*m**2 - j*m**3 + z*m**3 wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.677 and -2545?\nAnswer: 27172.965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39662\/5 - 351013\/45. Let o = u + -132. Let b = -13\/36 + o. What is the nearest to 1\/3 in -2, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 5.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, n: 10}. What is prob of picking 3 a?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -111100100011001001 (base 2) in base 14?\nAnswer: -6654d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - g = 168, 0*g - g - 85 = -w. Suppose -3*q - 57 = -3*l, -6*l - 3*q + w = -2*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:51 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*c*o + 1486*c + 3*o wrt o.\nAnswer: -58*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39451393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765047?\nAnswer: 3, 31, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 55) + -4 + 396 + -388.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*y - 2*y. Suppose -5*d = -y*d + 42. What is the lowest common multiple of 4 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 22) + (-2 - 0) - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63649 + -254589\/4. Suppose -1\/4*h + m*h**2 + 1\/4*h**3 - 3\/2 - 1\/4*h**4 = 0. What is h?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/1095*51 - -1. Let x = v + -3\/73. Is x bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*n - 6 - 8, -2*r - 5*n = 26. Let f = 7 - r. Let k = -3 - -8. Solve f = 4*h + k*a - 16, -h + 16 = 4*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 - -0.82. Let x = g - -2.08. Let i = x - 2.5. Sort -1\/5, i, -2 in increasing order.\nAnswer: -2, i, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -167*h - 1117. What is the least common multiple of 120 and o(-7)?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 318 and 414 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -302 in 0.02, -1, -2, 0.41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - 6\/3 - 801\/(-36) and -64\/117.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333302053 (base 6) to base 14\nAnswer: -b34093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a century?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8240, -37, -3, 3.\nAnswer: -37, -3, 3, 8240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y - 4*u, u = 2*y - 2*u + 1. Solve 0*x + 0*x = y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1243, 12740, 43951, 104734, 204947?\n\"Answer: 1643*x**3 - x**2 - x - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 81004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -117570 rounded to the nearest one thousand?\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88)*-1)\/sqrt(8)*1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + x - 15. Suppose 4*j = -x*s + 8, -4*j - s = -6*s - 8. Suppose -8 = j*z, p + 6*z + 5 = 3*z. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00372843746 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {w: 1, c: 3, d: 2, f: 2, y: 1, m: 8}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0*x = -4, -228*z - 82*x + 83*x - 680 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 + 324 = 4*b. Is (-72)\/8 + b - -5804 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 - 5\/(-5). Let f = -29 - -25. What is the nearest to 1\/4 in j, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/182*(-42)\/(-12).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 94?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(756\/(-1078) + (-27)\/(-99)) + 60*1\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*t - 198*t = -44. Let g = 0 - -6. Sort t, g, 2, -3.\nAnswer: t, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (3 + 3)\/3. Suppose -p*v = -v + 24. Let y(g) = g**3 + 7*g**2 + 7*g + 1. Give y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1 less than -88908705?\nAnswer: -88908718.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.67633 litres?\nAnswer: 87676.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 - 2*z - 2*z**3 + 2*z**2 - z**3)*(4*z - z - 2*z) to the form q*z + p + w*z**4 + b*z**2 + l*z**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 13 - 4*d - 2*d.\nAnswer: -d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2, 0 = -4*l - 2*s - 271 - 105. Let q = l - -184. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(-8524)\/(-8)*-8. Let u = 5804 + p. What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 4*m**2 - 2*m - 2. Let c be f(-3). Let w = -43 + c. Let y = -6 - w. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2288)\/1430*(0 - 10\/4). Let q = 92 + 85. Suppose j*d - q = 747. Does 24 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -645\/2 + 314. Let x = -86\/2879 - -6400467\/978860. Let i = -120\/17 + x. What is the common denominator of p and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -9*f**2 + 12*f - 6. Let l(v) = 4*v**2 - 6*v + 3. Let g(j) = 7*l(j) + 3*x(j). What is the remainder when 55 is divided by g(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1934310\/(-1525)*(1 - 21).\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 1 + 6 + -17 + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02017522245 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -3*t + 11*c + 1617, -5*c = -5*t + 2660. List the prime factors of t.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2 (b) -1\/4 (c) 3501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 48*w**3 + 5472*w**2 - w - 114. Determine y(-114).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h + 0*h)*(-7920 - 7959 + 16104)*(2 - 2 + 1).\nAnswer: 675*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 1\/12*c**4 + 0*c - 2*c**2 - 1 + 1\/2*c**3 - 1\/60*c**5. Factor b(q).\nAnswer: -(q - 3)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125 and 48.3?\nAnswer: 6037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/48)\/((-1)\/(-9*6\/45))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -262*v - 110. Is 90 a factor of p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (7 + (3 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -128, -265, -456, -701, -1000?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123\/19 + -511\/76. Put -1896, 0.5, n in increasing order.\nAnswer: -1896, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/((o**(-8)\/o)\/o)*o\/o**4*o**(6\/11) assuming o is positive.\nAnswer: o**(61\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 5*h - 14, -4*f + 12 = 0. Let y be 2\/h - (-5 - -6). What are the prime factors of ((y + -51)*-1)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.75 * 0.2.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 50*s - 19*s - 8 - 28. Suppose -l - l - 7 = -v, 4*l = -2*v + 6. List the prime factors of t(v).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkikbiiskrbipiri. What is prob of picking 3 k?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*k = 206*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 13 + 0 = -i, 0 = 5*i - 2*q + 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 10*a**2 - 2. Determine k(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01872872622 to 5 dps.\nAnswer: -0.01873","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:41 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3948 is divided by 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:53 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 9*h**2 + 3*h - 12. Let o = -5 - -14. Let y be i(o). Suppose 0 = 3*l - y - 9. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -11\/767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 6, d: 10}. What is prob of sequence gd?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -12. Let l be 1\/(10\/d - -3). Suppose 4 = 3*c - 29. Solve -l*w - c = -3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*s + 4*l, -3*s - 2*l + 3 = -4*l. Let p(i) = -i**3 + 3*i**2 + 3*i + 4. What is the units digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0*d - 30*d**2 + 13\/420*d**5 + 1\/21*d**4 + 0 - 2\/7*d**3 + 1\/280*d**6. Determine k, given that w(k) = 0.\nAnswer: -3, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 426.96 + -451. Let d = c + 31.2. What is d rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28596 + -12924. Let m = 313373\/20 - y. Calculate the common denominator of 1 - (1 - 3) - (-49)\/4 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 3:59 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*l - 9. Let r(i) be the second derivative of -2\/3*i**2 - 1\/15*i**5 + 10*i + 2\/9*i**l + 1\/9*i**4 + 0. Solve r(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 66542.\nAnswer: 133084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6) - (117\/27 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6001*t - 572 = 5979*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67738 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5579 and 2772763.\nAnswer: 2772763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 13*b - 9. Let p(m) = -2*m**2 - 12*m + 10. Let v(x) = -4*p(x) - 3*q(x). Let z be (7\/4)\/(1\/4). Is v(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 86 = 1314. Let t be ((-2)\/8)\/(p\/200). Which is the second smallest value? (a) -3 (b) t (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*y + 9*y = -471 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0159283549 to 4 decimal places.\nAnswer: -0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39206 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Let q(c) = -6*c + 5*c - 7*c. Give g(q(o)).\nAnswer: 128*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22282?\nAnswer: 2, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -871, 48, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -29652\/577 and -51 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1435, 12320, 42067, 100108, 195875, 338800, 538315, 803852?\n\"Answer: 1572*v**3 - v**2 - 116*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4153\/8 + 519. Let t be (-2)\/1 - (-22)\/8. What is the closest to t in 4, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123666 (base 7) in base 14?\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 2*s + 2. Let b be w(-2). Suppose -1 + 31 = b*j. Suppose 3*f + 3*g = j, 4*f + g - 17 = -0*f. Solve -2*k - f = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3\/9*-15. Let v = -7 + q. Suppose 0 = -v*b - 102 + 366. Calculate the remainder when b is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 252092 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(153)\/((sqrt(216)\/sqrt(6))\/sqrt(4)) - (-5*(2*sqrt(833) + sqrt(833) - sqrt(833)))**2).\nAnswer: -83304 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 8*j + 7. Let u(g) = -6*g**2 + 3*g**2 - 4*g**3 + 4*g**2. Let d be u(1). Sort j, d, -4 in decreasing order.\nAnswer: j, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1080 (base 15) to base 4\nAnswer: -312213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*f**6*h - f**3*h**2 - f**2*h**2 + 83*f**2*h + f*h**2 wrt f?\nAnswer: 5760*f**3*h - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(12\/7)*s)\/s)\/(s\/s**6))**(3\/19))**(-28) assuming s is positive.\nAnswer: s**(-648\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 20*b**2 - 85*b. Determine s(14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**3 - 2*l**3 - l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/17*7395\/870.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 569143629 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 416 = 4*g, -8*j + 4*g + 628 = -5*j. Suppose 3*p - p - j = 0. Suppose p = 3*k + 79. What is the remainder when 32 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -56, -77, -78, -53, 4, 99, 238?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31353 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83136547 to the power of 1\/2, to the nearest integer?\nAnswer: 9118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178975010*j**3 - 39518114*j wrt j?\nAnswer: 1073850060*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*x - 172 = -6*z, 0 = 4*z - 2*x - 152. Is 40 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -1\/62, -8.502?\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 <= 328800?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8489 (b) 0.4 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 5*k = 6, -2*n - 6*k = -8*k - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 5*q - 3*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2. Let b(f) = -4*f. What are the prime factors of b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -8805*k - 1963503. Calculate a(-223).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4009586 - -179192481.\nAnswer: 183202067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 = -41. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*o + 103*o = -495 + 90 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2141*c + 21 = 2*v - 2140*c, -2*v - 5*c + 65 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(45)*6.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**2 + 8*d - 22. Let k(f) = -14*f**2 - 6*f + 21. What is -4*k(a) - 3*w(a)?\nAnswer: 8*a**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12486, 50059, 112680, 200349?\nAnswer: 313066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:25 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10802951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.76, -7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeee when four letters picked without replacement from {q: 11, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -250\/39 (c) 9 (d) 4 (e) -13 (f) -5 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {f: 12, t: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 5*o**2 - 6*o + 2. Let p be ((-4)\/(-6))\/(4\/60). Let m = p - 2. Suppose -3*a = -a - m. Calculate c(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 17. Suppose d = -d + w. Let y = 2 + d. Solve 2*r - 6 = -3*u, 4*u + y = 8*u - r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*n - 194 - 140 = 0, 5*w - n + 332 = 0. Let q = 20 + 34. Let j be w\/q + 3\/((-54)\/(-4)). Which is smaller: 2\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, u: 9, l: 1, k: 1}. Give prob of sequence eu.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33965516\/5 or 6793103?\nAnswer: 6793103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -321*u**2 + 234*u**2 - 13*u**5 - 85*u**5 wrt u.\nAnswer: -5880*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 443*a**2 - 524*a + 944. Find the first derivative of z(t) wrt t.\nAnswer: 886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - (-40 + 26) - -8?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from {r: 4, g: 3, q: 6, h: 2, a: 4, m: 1}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 28656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5525006 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 3\/(-2))*2. Suppose -g*n - 5*t = -n - 12, -15 = -5*n - 5*t. Is n*(-69 - -2)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 215 - 230. Let x(v) = v - 1. Let o(g) = 2*g - 3. Calculate p*x(n) - 3*o(n).\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -145199700 divided by 36299925\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/16762179 and -163\/126.\nAnswer: 100573074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192\/1177 + 2\/107. Let n = -14299 + 14300. Sort n, -5, 0.3, x in ascending order.\nAnswer: -5, x, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wewee. What is prob of sequence wew?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304119?\nAnswer: 61, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3857, 7706, 11555, 15404, 19253, 23102?\nAnswer: 26951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 48. Suppose 0 = 4*m - 18 - x. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4568092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:19 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-176)\/(-154) - 363\/(-7). What is the highest common divisor of y and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1115*l**3 + 148*l**2 + 3*l + 325336 wrt l.\nAnswer: 6690*l + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(1053)*-1)**2*-5 + (sqrt(1053)*2*-6 - (sqrt(1053) + (5 + 3 + sqrt(1053))**2)).\nAnswer: -6507 + 189*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415953 divided by 2.\nAnswer: -415953\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:54 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -415, -650, -591, -238, 409, 1350?\n\"Answer: 147*g**2 - 676*g + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -9*z + 18 + 42. Let t(a) = 9*a**2 - a - a**2 - a**2 + 4. Let k(g) = 6*g**2 - g + 3. What is z*k(w) - 5*t(w)?\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 46\/21, -0.4, 0.19, -3, 1\/1246 in descending order.\nAnswer: 46\/21, 0.19, 1\/1246, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 134640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, -565, -1810, -3565, -5836, -8629?\nAnswer: -11950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 - 226. Let h = n + -146. Is 20 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, -686, -2, 2, -3 in descending order.\nAnswer: 4, 2, -2, -3, -7, -686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 37, 2, -4\/5, -10\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 23*c + 9 = -2*q, 3*q + 4*c + 5 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8*(-48)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12378710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z + 20 + 235135*z**2 + 235136*z**2 - 470268*z**2. Let o(j) = -2*j**2 - 5*j - 10. Calculate -3*a(c) - 5*o(c).\nAnswer: c**2 - 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - b - 1. Let s(t) = 4*t**2 + 5*t + 5. Let h be 2 - (9 - (3 - 2)). Let c be (1 - 0)\/(h\/(-30)). Determine c*d(r) + s(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 123*y - 1332 + 963 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14226 and 338.\nAnswer: 2404194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*b + 1714 = 2463 + 11091 for b.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 24 = 4*x, -7 = x + 4*l - 1. What is the tens digit of 206\/14 - x\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-15) + (-17)\/85. Sort -1\/2, 0, c, -0.17 in descending order.\nAnswer: c, 0, -0.17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 2*b, 0 = 3*b - 9. Let s be 3*-4*(-3)\/12. Suppose 12 - 4 = f + 2*n, s*n - 12 = 3*f. Solve u - l*u - 5*a + 10 = 0, -a = f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2 + 34012*g + 1573016 = 0.\nAnswer: -46, 8549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -462, 1847, 4156, 6465?\n\"Answer: 2309*l - 2771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 576 divide 34168294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30512?\nAnswer: 2, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11960\/35880*((-2)\/(-20))\/((-30)\/(-25))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1061*n**2 - 229176*n + 7. Determine t(216).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3200, 6858, 10516, 14174, 17832?\n\"Answer: 3658*l - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 4:50 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 618929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26245 divided by 22\nAnswer: 26245\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h\/(h**2*h))\/h*h)\/h*h)**(-2\/9)*h**4*h*h**(7\/2) assuming h is positive.\nAnswer: h**(149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 423121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66658416?\nAnswer: 2, 3, 11, 23, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from hkpooooohspsos.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*t - 97, -4 = -2*t + 3*t. Solve 3*f - 4*a = -h, -14 = -5*f - 2*a + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/4)\/(15\/(-6) - -5). What is the nearest to 1\/2 in -80, p, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 2. Suppose 3*h - 3*x = -6, 0 = 2*h - 3*x - 2*x + 10. Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 33*y - 34*y. Suppose 5*k + s - 92 = 0, -2*s + y = k - 7. Suppose -3*p = -55 - 158. What is the remainder when p is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 348928140*a*k - 445*a + 24 wrt k.\nAnswer: 348928140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28702083 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 556945158 to the power of 1\/3, to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.166\nAnswer: -2.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 2*k**3\/3 + 8*k. Let p(r) = -r. What is z(p(v))?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -302*u + 297*u - 3*a, -4*a - 12 = -2*u. What is the closest to 3\/5 in -5\/4, u, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 14 + 99*y - 5 - 8 in the form o*y + d and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -1367 (c) 1\/25 (d) 2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 943 (base 12) to base 9\nAnswer: 1756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, e: 5, q: 3}. What is prob of sequence qeqe?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/2 + 8971*d**2\/2 - 71841*d\/2 - 80811\/2 = 0.\nAnswer: -8979, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1506913*f**4 + 19*f**2 - 218*f - 18 wrt f?\nAnswer: 36165912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/16*4\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -167, -311, -453, -593, -731, -867, -1001?\n\"Answer: b**2 - 147*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f. Let r be (-3*1)\/((-4)\/(-8)). Let l(n) be the second derivative of n**3\/6 - n + 13. Determine r*l(g) + q(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 3. Let d be g(-5). Let w(m) = -14*m + 14*m - 9*m**d. Let l(o) be the third derivative of -o**4\/12 + 10*o**2. Give l(w(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-10))\/(1\/(-5)). Does 2 divide 8\/((w*-4)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-660)*10*6\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2903174 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 + 286. What is the smallest common multiple of 19\/(19\/(-10))*a and 112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 4*g + 13, 2*a + 5*g - 10*g - 18 = 0. Let m(l) = 3*l + 12. Let r(u) = -u + 1. Let n(o) = a*m(o) - 2*r(o). Determine n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:43 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -40. Let n(q) = q**3 + 3*q**2 + 5*q + 2. Give n(r).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*y, 3 + 27 = 5*i - 5*y. Suppose 0 = -5*l + i*l + 36. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j. Let n(s) = 7*s**2 - 3. Determine n(l(h)).\nAnswer: 4732*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:59 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p. Let b(q) = q. Let m(a) = -11*b(a) - 4*g(a). Let w be ((-4)\/(-6))\/(1\/(-3)). Let r = -3 - w. Determine m(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10521, -15.52 in decreasing order.\nAnswer: -6, -15.52, -10521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 - 220 = -26*x + 59 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -335\/6, -5, 45, -0.03, -0.05 in descending order.\nAnswer: 45, -0.03, -0.05, -5, -335\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 108781 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or -105611.1?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - 0)\/(-4) + 2. Sort -3, t, -27.\nAnswer: -27, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**3 + 28*y**2 + 60*y + 39. Let a(q) = -6*q**3 - 84*q**2 - 182*q - 118. Let x(l) = 5*a(l) + 14*o(l). What is i in x(i) = 0?\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: (0*4\/(-12))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21020022 (base 3) in base 8?\nAnswer: -12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/2 + 15*v\/2 + 9 = 0. What is v?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 - -142. Let b = u - -170. Put b, 3, 0 in increasing order.\nAnswer: 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(175))*-4 - (-2 + (sqrt(7) - sqrt(343)) + 2)**2.\nAnswer: -252 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 58*n + 61. Let m be w(17). Let u = m - 257. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85303203, 170606404, 255909605, 341212806, 426516007?\nAnswer: 511819208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + i**2 + 3*i - 3. Let j be g(2). Suppose 5*z - 19 = -3*c, -3*z + c = -0*z - 3. Let o be (j\/(-6))\/((-1)\/z). Solve 0 = -2*l + o*l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(0 + sqrt(117))*-3*-3)**2.\nAnswer: -216*sqrt(13) + 151633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i - 44. Suppose -65*d - 45*d - 2370 = 48*d. What is s(d)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5488, -4553, -2994, -811, 1996?\nAnswer: 5427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 1 = -7. Suppose 1 = -i + 4. Suppose 4*s + r = 1 + 3, -i*r - 18 = -3*s. Solve -t*l - s*f = -4*f + 4, -f - 2 = -5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -18475288?\nAnswer: -18475286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 288157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -776\/73, 2\/17 in ascending order.\nAnswer: -776\/73, -2, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)\/(sqrt(6) - -1*sqrt(6)))\/sqrt(3))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207 + 198. Let j(g) = -8*g - 51. Let z be j(f). Calculate the highest common divisor of 15 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 17*v - 24. Calculate k(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -69.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11710 and 242000?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21754 - 21677. Calculate the remainder when 250 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111233 (base 4) to base 3.\nAnswer: -21112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(6 - 2) - 2. Let p(c) = -c**3 + 2*c**2 + 3. Let s be p(h). Suppose 5 = l, -7*l + 132 = 4*v - s*l. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7664 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11314 or 11464?\nAnswer: 11464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-2)\/(-12))\/((-21)\/(-63)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 249.853 - 239.42. Round t to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 3*l + 8*l - 18. Let s be u(14). Calculate the greatest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 4*n**3 + 2*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)**(-3)*g**(-1\/9)\/g**(-4) assuming g is positive.\nAnswer: g**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0 + 4*g - 18*g - 5 - 8. What is the tens digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-22)\/(-8) + -2. Let n = 1001 + -1004. What is the biggest value in 4, n, 1\/2, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2863*f + 5854*f + f**2 + 7133*f.\nAnswer: f**2 + 15850*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*y + 2*r + 21, -2*r - 10 = 0. Solve 0 = 3*c - 0*c - y*u, 2*u = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -4*p**3 + 0*p - 2*p**2 - 3*p**4 + 54 - 4\/5*p**5. Factor m(s).\nAnswer: -4*s*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 20 - (7 + -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/32)\/(124\/32) - (-58)\/(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -8*q**2 + 8*q - 2*q**3 - 2 + 3*q**3 + q**2. Let v be t(6). Let c be 2*6\/(-16)*(-3120)\/468. Solve 3 = -4*a - h - v, -c*a - 20 = 2*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 5 - 5)*(4 + 2*i - 4) + i + 0*i - 3*i)*(-3 + 3 + 7)*(1 + 0 + 1)*(5 + 2*i + 2*i - 3) to the form m*i**2 + r*i + z and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4513*c**2 + 4*c - 9039*c**2 + 4517*c**2 - 2*c - c**3 in the form p*c + f*c**3 + k*c**2 + v and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -30. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t**2. Let l(n) = -1014*n**2. Determine l(j(v)).\nAnswer: -259584*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 11:10 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2692 by -4.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188.228679 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3\/(-1203)) + -3 + -1. Let l = -378 - m. Suppose 5*b = 42 + 8. What is the remainder when l is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4307, 4054, 3787, 3500, 3187, 2842?\n\"Answer: -l**3 - l**2 - 243*l + 4552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 3529?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Sort -4, g, -3 in increasing order.\nAnswer: -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + 63*z - 167. Let l(b) = 5*b**2 + 185*b - 500. Let q(o) = 3*l(o) - 10*s(o). Solve q(f) = 0.\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-993*z**4 + 1080*z**3 - 1080*z**3)*(z - 4*z - 8*z) + z**5 + 2*z**4 - 2*z**4.\nAnswer: 10924*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-69) - 178\/(-6). Suppose 5*x - c - 37 = 0, 13*x - u = 9*x + c. Let i be 110\/x + (-10)\/(-35). Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 10 - (0 + (2 - 5)). Let b be ((-4518)\/p)\/(9\/18). Let u = b + 694. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 5*u)*(9*u**2 - 6*u**2 - 2*u**2 - 3).\nAnswer: -3*u**3 + 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*z + 179, 0*k + 177 = -4*z + k. Let o = z - -43. Let d = -79 + 543\/7. Is d bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(1\/(-12)). Let f = -1 - h. Suppose 6*v - 2*v - 160 = 0. What is the greatest common factor of f and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from juyjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 14*i**2 + 39*i - 88. What is o(9)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1550 or -2102?\nAnswer: -2102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t = -20. Let r be (1\/(-9) - t) + 4. Sort -6\/7, r, -1, 1\/12.\nAnswer: -1, -6\/7, r, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 0.3\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 408 - 398. Solve 7*c - x*c - 5*g - 7 = 0, -4*c - 14 = 2*g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 + 54\/10. Suppose y*r - 31 = 59. Suppose b - 4*b = -r. What is the highest common factor of b and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 116 - 2*h**5 + 21*h**2 - 116 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 6*r - 7. Calculate the remainder when t(-2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, g: 2, a: 1, p: 1, c: 2}. What is prob of sequence lt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:47 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.28958729 + 0.2892. Round h to 6 decimal places.\nAnswer: -0.000387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1520 + 499 + 10*x**3 - 79 - 846 - 12*x**3.\nAnswer: -2*x**3 - 1946","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 10. Let z be q(11). Let y be (2 - 1) + 12 - z. Let g be -10*(-1)\/(-8) + 63\/12. Solve 5*o + 3*k + y - 3 = 0, g*k + 12 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6*a - 1. Let r be u(-8). Let h = r - 10. Suppose 2*q + 9 = h*q. Put q, 1\/4, 0 in ascending order.\nAnswer: 0, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33642\/308385)\/((-2)\/22)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 1, d: 1}. Give prob of sequence dx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 34.71161kg?\nAnswer: 0.03471161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8163886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h - 20 = -x, 15 = 3*h + 2*x. Suppose h = 12*u - 11*u. Which is the smallest value? (a) -2\/7 (b) u (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - v = -2*p - 14, 4*p - v = 13. Suppose p*n = 2 + 1. Calculate the lowest common multiple of n and (16\/3)\/((-3)\/(-9)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 3 (b) 5 (c) 364 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*n**5 + 506*n**3*o - 1416*n**2 + n*o - 7 wrt n?\nAnswer: 660*n**2 + 3036*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 + 14*z**2 + 6*z + z**3 - 4*z + 1 + 7*z**3 to j*z + m*z**3 + q*z**2 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -175, -675, -1501, -2653?\n\"Answer: -163*r**2 - 11*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuyuyyyyyiuui. What is prob of picking 2 y?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*p - p - 121, -3*w + 102 = -3*p. Let m = w - 64. What is the second smallest value in 2\/17, -0.5, m, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k + k + 3*d, -3*k + 5*d + 14 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.57748 decades in years?\nAnswer: 495.7748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*r - 5 + 3, v + r = 5. Let j be v\/2*(2 - -3). Suppose -3*p = -2*i + 6 + 2, -20 = 2*i + 4*p. Sort j, 2, i in decreasing order.\nAnswer: j, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 621, 552, 433, 252, -3?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1160 and 982172?\nAnswer: 9821720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 146 + i**6 + 0*i**2 + i + 53\/3*i**3 - 4\/5*i**5 + 0*i**4. Find the third derivative of y(v) wrt v.\nAnswer: 360*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 7*t + 4*t - 2*t - 3*t + (-2 + 3 + 0)*(-2*t + t + 0*t))*(146*t - 29*t + 117*t).\nAnswer: 1404*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3867164 is divided by 4745?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*v + 8*v + 46 = -10, -3*x - 2*v = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 55 = -4*p, -p - 1391*g + 691*g = -696*g - 82 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjhjhhhhyyh. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 17 = -2*r + 3*r, 3*j + 2*r - 10 = 0. Suppose 23 = j*t + 3. Calculate the remainder when 17 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 - 111*d**3\/5 + 411*d**2\/5 - 104*d + 48\/5 = 0?\nAnswer: 1\/10, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*i = -113*i - 12. Let r be (-6)\/8 + 648\/96. Solve -i*z + 4*z = r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 17451.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8 = 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*k + 841 - 280 - 281 - 282.\nAnswer: -265*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 26*b - 1152. Give x(49).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)\/f)**(-2\/3)*f**(3\/4)*f\/f**(-1\/6) assuming f is positive.\nAnswer: f**(109\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1045 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 x, and 1 o when three letters picked without replacement from uuujxkuxxoxbbk.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 6) + (-4 - (1 + -6 + 5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8210253011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678, -2474, -5466, -9654?\nAnswer: -15038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6*d**2 + 2*d + 1. Let n(s) = 28*s**2 - 22*s - 42. Determine 22*i(x) + 2*n(x).\nAnswer: -76*x**2 - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5453, -2\/21, 1\/6 in descending order.\nAnswer: 1\/6, -2\/21, -5453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41207264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5167076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) -4 (c) 1\/3890 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00619068 to five dps.\nAnswer: -0.00619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8967 + 2999 = 3*d + 5*a, 2*d - 7974 = -5*a. What are the prime factors of d?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1863 and 1701747.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -39\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 15937, 2\/7, -0.1 in decreasing order.\nAnswer: 15937, 2\/7, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -153*p**4 - 5*p**2 + 5*p + 166. Let d(q) = -122 - 44 - 9570*q + 152*q**4 + 4*q**2 + 9566*q. Let s(u) = 4*b(u) + 5*d(u). Differentiate s(r) wrt r.\nAnswer: 592*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 217\/(-14) - -17 - 2\/(-4). Let 1\/9*u - 1\/9*u**3 - 1\/9*u**z + 0 + 1\/9*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -745, -1593, -2779?\nAnswer: -4303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gio when three letters picked without replacement from gifgifgiioifigifiigi.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c - 27. Calculate g(-24).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9916105*q**4 + 7*q**2 - 3*q - 5383 wrt q?\nAnswer: -237986520*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 7 = 32*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49120.19 millilitres to litres.\nAnswer: 49.12019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3*(-9)\/1. Suppose 0 = 3*y + 2*q - 5*q - 12, -x*y + 4*q + 14 = 0. Solve -y*f = -5*t - 0*t - 16, -5*f - 3*t = 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1534966986.\nAnswer: 2, 3, 7, 36546833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (50\/3)\/(-5) + 3. Let z = 0.38 - -0.02. Which is the biggest value? (a) t (b) 12 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136.9 - -124. Let k = m + 13.43. Let i = -0.01 - k. Round i to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705\/50 + ((-231)\/(-33) - 22)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 42195635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let p = 175 + -703\/4. Which is the third biggest value? (a) 0.5 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2. Let d(r) = -5*r**2. Let k(t) = -3*d(t) + 4*m(t). Let w(o) be the first derivative of -14*o**3\/3 - 1212. Give k(w(a)).\nAnswer: -196*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 1662*x + 3. Let w(k) = 2*k**2 - 20*k + 30. Let i(z) = -4*z + 6. Let s(y) = -5*i(y) + w(y). Determine h(s(v)).\nAnswer: 3324*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 83472060 a multiple of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, -13, -61, -149, -289, -493?\n\"Answer: -2*c**3 - 2*c**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 16*y**2 - 17*y - 20. What is d(-14)?\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = t + 185, -y - 137 = -4*y - t. Suppose y*c - 11431 = 39*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:21 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 45\/(-10) + 124107\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(112))\/((sqrt(968)*2)\/sqrt(2)).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 11*v - 25. Let f be u(-8). Let y be (2 - -2 - (f - -2))*13. What is the highest common divisor of 429 and y?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/7347 and 107\/212352?\nAnswer: 6582912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 + n + 10. Let m be u(0). Suppose -2*i - m = -84. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1441*w - 843*w - 125*w + 429*w to the form j + o*w and give o.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 0 + -5 + 16. Calculate the highest common divisor of b and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 4916.\nAnswer: 280212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(126)\/sqrt(2) - ((1*sqrt(5103) - sqrt(63)) + sqrt(63)) - (4*(sqrt(70)\/(sqrt(30)\/sqrt(3)) + sqrt(7)) + -2).\nAnswer: -32*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3\/2 + 5*m**2 - 171*m\/2 = 0. What is m?\nAnswer: -19, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4037 is divided by 271.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2\/9, -3\/4, 4\/5, 25092?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 16\/6*(-1 + -1 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4051678, 8103434, 12155192, 16206952?\nAnswer: 20258714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 10. Let i(h) = 19*h + 155. Let s be i(-8). Suppose -s*c = -9 - 9. What is the smallest common multiple of w and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415890?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6109449 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-112))\/((45\/(-1))\/(350\/(-25)))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 36 = 2*f. Suppose 1435 = f*i - 7*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 5866104*n**2 - 46929024*n + 93858176.\nAnswer: 4*(n - 4)**2*(n + 1466534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588 = -8531*q + 8629*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12*y - 5. Let j(k) = -289*k - 119. What is -5*j(f) + 119*s(f)?\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from mqv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - 4) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 32*v - 5. Let w(p) = 47*p + 967. What is h(w(o))?\nAnswer: 1504*o + 30939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313711 is divided by 518?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l = 181937 + 184093. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - j + 4*j - 3*j + 5*j - 4*j + (2 - 3 - 1)*(4*j - 2*j - j) + 137*j - 53*j + 51 - 76*j.\nAnswer: 5*j + 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5486*s**2 - 32*s - 6269. Let d(q) = -q**2 + 8*q. Let t(y) = 4*d(y) + z(y). What is the first derivative of t(w) wrt w?\nAnswer: 10964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 1377, 4847, 11609, 22761?\nAnswer: 39401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x*x)**(-1\/12) assuming x is positive.\nAnswer: x**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (872\/(-8393))\/(1*2\/(-14))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*q = -305, 4*p + 3*q - 42 = -279. What is the remainder when 80\/(-3)*p\/16 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/2136 and -91\/27056.\nAnswer: 81168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208160 divided by 31.\nAnswer: 208160\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 2. Suppose 0 = g - 3. Suppose -g = l - 5. Let v be b(l). Is v at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23789 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-279))\/((-8)\/12)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34539565, -34539567, -34539569, -34539571?\n\"Answer: -2*d - 34539563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-7)\/v*v*v)\/((v*v*v**(-1\/16)*v*v)\/v)*(v*(v\/v**(1\/3))\/v*v)**(2\/23) assuming v is positive.\nAnswer: v**(-8603\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135692613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3010 = -5*d, 30*f - 26*f - 3992 = 4*d. Is f a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12391 + -87896\/7. Let x = r - -165. Let l be (2 + -3)*2 - -1. Do l and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -22. What is the units digit of 19\/2 - (-5)\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14*21\/(-15435))\/((-1)\/5))\/(30\/(-140))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2711*b + 2690*b + 2706*b - 10801*b + 325*b**2 + 2694*b.\nAnswer: 325*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 - 44*o - 18. What is k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 30*x - 59. Let n be z(32). Suppose -n*i + 4736 = -609. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c + c2c298?\nAnswer: c2c2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15467 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 1431.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762515 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 273457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 3*z**2 + 3*z + 1. Let w be v(-2). Let t be 14\/(-21)*w\/(-6). Let h be 11\/(-22)*(-2)\/t. Is h > -2\/111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u**5 - 8*u**4 + 300*u**3 + 320*u**2 - 400*u - 192 = 0.\nAnswer: -3, -2, -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 781 (b) 13 (c) 3\/7 (d) 2 (e) 4\/7 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -19*g - 1. Let b(o) = 19*o + 2. Give f(b(u)).\nAnswer: -361*u - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5308 and 15.34.\nAnswer: -81424.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 2. Suppose -k = -2*m - 61. Is (-1)\/6 + (-305)\/m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 12) to base 2.\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133031 (base 8) to base 7.\nAnswer: -2424115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k + 1. Let n(b) = 33*b - 2. Give -2*n(y) + 6*u(y).\nAnswer: 36*y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - -15.6.\nAnswer: 15.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33265114 (base 8) to base 11\nAnswer: -4058450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 3*m - 92. Let a(b) be the second derivative of 1\/70*b**5 - m*b + 0 - 1\/21*b**4 + 8\/7*b**2 - 4\/21*b**3. Factor a(h).\nAnswer: 2*(h - 2)**2*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487417 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7871809 and 715619?\nAnswer: 7871809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -112, -189, -288?\n\"Answer: -11*n**2 - 22*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3539, -2949, -2407, -1919, -1491, -1129?\n\"Answer: -y**3 - 18*y**2 + 651*y - 4171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49486951?\nAnswer: 49486951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -9*s - 4. Let b(i) be the first derivative of 4*i**2 + 4*i - 7. Let n(y) = -6*b(y) - 5*c(y). Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w - 34*w + 359*w**3 + 2902*w**3 + 104*w - 35*w.\nAnswer: 3261*w**3 + 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxc when four letters picked without replacement from {c: 4, x: 10}.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 6 + c - c + c**2 - 5*c. Suppose -s - 9 = -2*k, 5*s + 0*k - 2*k + 37 = 0. Calculate x(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2 + l + 2*l - 2*l. Let w be a(3). Let i = w - 1. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 6764?\nAnswer: 6764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41b + 16a?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 - 3 + 3 - y - 3. Let m be i(0). Let b be (-65)\/(-10) - m\/(-2). Let l(n) = n**2 - 4*n - 6. Determine l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 0.9837?\nAnswer: -0.3837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1609147117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14482974 divided by -39898.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**2 - 9288500*n - 21569058062500 = 0?\nAnswer: -4644250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 745694060 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13789, 27576, 41359, 55138, 68913?\n\"Answer: -2*t**2 + 13793*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b5f (base 16) to base 2.\nAnswer: -111101101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -0*j - 5*j. Suppose 4*v = 2*v + 38. What is the greatest common factor of j and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5*r**3 - 9*r**2 + 6*r + 15. Let m(a) = -4*a**3 - 8*a**2 + 5*a + 13. Let j(u) = 3*h(u) - 4*m(u). Give j(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r + 5. Let k(b) = 5*b + 8. Let v(s) = 8*g(s) - 5*k(s). What is the units digit of v(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1411*a + s = -1406*a - 11 + 30, -18 = 4*a + 2*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n - 30*n - 30*n + 56*n.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617340019 to the nearest integer?\nAnswer: 40216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-2\/11) assuming o is positive.\nAnswer: o**(-8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13\/(13\/4) - -51 and 25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + g + 94 - 89 = 0, 0 = -3*s + 2*g - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 9570135*q**2 + 0 + 51684301*q**2.\nAnswer: 42114166*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-4)\/(-72)) - -4. Suppose 22 + 24 = q. Suppose s = 2*a - a + 2*g, q = 2*a + 2*g. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421753931 to the power of 1\/3, to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 40 = 3*j. Let y = -14 + j. Does 9 divide y\/2*(-12)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 45, 15, -37, -117?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 250128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11 = 5. Suppose -q*t = -55 - 1. Let b be 4\/t + 48\/28. Sort 3, 5, b in ascending order.\nAnswer: b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 40 (b) 4 (c) -0.2 (d) -5 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32533947 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*-1*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.193085 rounded to zero dps?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*y + 2 - 498*y + 256*y - 56*y.\nAnswer: -870*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4 + 6 - 2*l + 4*l. Let o = -28 - -28. Let k be o*(-2 + 3) - 4. Calculate r(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 541130000 to the nearest one million.\nAnswer: 541000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 57*y**2 + 4 - 59*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 173 - 27. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -333, -2372, -5769, -10524, -16637, -24108, -32937?\n\"Answer: -679*f**2 - 2*f + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.2 + -34.2. Which is the nearest to -1\/6? (a) -5 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 855 and 29385.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001540284229 rounded to 5 dps?\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.2 + 1.2. Let p = 2 - 2. Which is the second smallest value? (a) 2\/7 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*c - 2*u - 16, -1 = -c + 47*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 less than -30417.44?\nAnswer: -30077.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(((-22)\/11)\/16)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(3))\/sqrt(2) + (sqrt(99) + -1)**2 - (-1 + sqrt(1100))*6) + 0.\nAnswer: -65*sqrt(11) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 358.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1\/12 (c) -0.2 (d) 11.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2. Let g(r) = r**2 + 4*r - 1. Let h be g(-5). Let m = -3 + h. Give a(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b5191 (base 12) to base 16\nAnswer: b35bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o*s**3 - 824*o*s + 2254*s**3 + 141*s**2 wrt s?\nAnswer: -12*o + 13524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-35)\/42 + 2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/3)*l\/l**7*l)**(-1\/8) assuming l is positive.\nAnswer: l**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -131\/3. Let l = -18 - -20. Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - 61*h + 1575. Give l(25).\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/390 and 109\/18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 8*m + 4. Let d(n) = n**2 - 73*n - 301. Calculate the remainder when a(5) is divided by d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*u. Suppose 0 = -3*t - u*t + 18500000. What is t rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2. Let r be 4*(0 + 1) - (-2)\/1. Let i(g) be the first derivative of -2*g**2 + 7. Let q(z) = -9*z. Let j(x) = r*q(x) - 13*i(x). Give w(j(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 146659 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 3*f**2 + 2*f**2 + f**3 - f**2 + f**2 - f**3 + (-3*f**3 - 9*f**3 + 2*f**3)*(-5 + 2 + 4).\nAnswer: -10*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-3) + -2*3\/18. Which is the closest to 3? (a) 0.1 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-15)*(-6699)\/154.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:48 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-542)\/(-42) - (73 - (-87 + 147)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = q - 6*q + 208, -2*q = -2*m - 140. Let f = 354\/5 + m. What is the closest to 7\/4 in 0.3, f, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 71\/8. Let p be (-2)\/4 + 7\/2. Let o = 0.7 - 0.8. Which is the second smallest value? (a) v (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36976187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 964109.4 years?\nAnswer: 96410.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*y + 26 = 4*x, 23 = 4*x - y. Solve -18 = -3*t - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = 5*r. Solve 0 = -5*n + r, 0 = 2*w + w - n - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + 4. What is the units digit of h\/7 + 8\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 p when four letters picked without replacement from {p: 3, g: 2, x: 10}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1943*n - 299449. Determine j(154).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.548083 + 966.\nAnswer: 966.548083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13528\/131 or -103?\nAnswer: -13528\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163978*l*m**6 - 2*l*m**4 - 2*l - 4*m**2 + 519*m + 8 wrt m.\nAnswer: -19677360*l*m**3 - 48*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 881683 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664009821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {e: 3, w: 8, f: 2, z: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 - 110*d - 47 - 49.\nAnswer: -110*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.187 less than 589756323?\nAnswer: 589756322.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 159 from 0.368943.\nAnswer: -158.631057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1210 and 1178.\nAnswer: 712690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 14664*i**2 - 50*i + 15. Is x(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**5\/15 + 52*x**4\/3 + 5408*x**3\/3 - 183*x**2 + 2. Factor d(h).\nAnswer: 4*(h + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.8 >= 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/27*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b + 10*b + 13*b**3 - 17*b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1452 and ((-33)\/(-4))\/((-3)\/18)?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 58812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b45 + 4?\nAnswer: 4b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47303*w - 14175 = 47618*w for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 10*z + 0*z)*(2 - 3*z + 4*z - 3*z).\nAnswer: 14*z**2 - 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88689 by 111.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/48 and -131\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15437*f + 3727*f - 14756*f.\nAnswer: -26466*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196380.24 months to years.\nAnswer: 16365.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b + 20 = o, 0 = -2*o. Let y = b - -21. Suppose r + 2*r = 0. Solve 3*s - 5*w = r, -2*s - 4*w = -s + y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -7. Suppose -z*h = 3*h - 5. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28249350 divided by -5?\nAnswer: 5649870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19 + 14)\/(((-2)\/2)\/1). Let x(i) = -7*i**2 + 2 - 3*i + q*i - i. Give x(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-10)*250\/(-150)*2\/38?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5*j - 1131, 5*v - v + j - 2207 = 0. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -732 divided by 366.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71480, 142058, 212636?\n\"Answer: 70578*q + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 7. Let w = -389 - -392. Let t be (w\/(-9))\/((-3)\/18). Solve -b = -t + k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*q = -4*y - 43, -y - 19 = -2*q. Let v(c) = c**2 + 13*c - 11. Calculate v(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 528, 1191, 2128, 3345?\nAnswer: 4848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(7) - (sqrt(35)\/(sqrt(10)\/sqrt(2)) + sqrt(7) + sqrt(7))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**8\/56 + 11*a**4\/12 - 3*a + 8. Let p(y) be the first derivative of v(y). What is the third derivative of p(j) wrt j?\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/14)\/i**(-1\/15)*((i**5\/i)\/i)\/(i\/(i*i**(-5\/7))*i) assuming i is positive.\nAnswer: i**(239\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than 5580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11671, -11677, -11685, -11695?\nAnswer: -11707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94 + aa6?\nAnswer: b4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 15*b**2 + 3*b - 32. Determine s(-15).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -333*r - 1827 + 1827 + (-3*r - r + 3*r)*(3 - 1 + 0).\nAnswer: -335*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -15*q - 3. Let b(k) = -1. Let f(p) = 6*b(p) - 2*o(p). Let n(h) = h + 2415. Let d(v) = 207. Let z(t) = 35*d(t) - 3*n(t). Determine z(f(s)).\nAnswer: -90*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-11)*d)\/(d**13\/d))**(-20\/7)\/(((d*d*d**7)\/d**(-1))\/((d**(-1\/4)*d)\/d*d*d\/(d\/(d\/(d*d**7))))) assuming d is positive.\nAnswer: d**(1305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -23842.857+-0.3\nAnswer: -23843.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 667020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -30. Suppose -3*g + 7*t + 9 = 2*t, -2*t = 5*g - 15. Put 5, a, g in descending order.\nAnswer: 5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3055940798?\nAnswer: 2, 1527970399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 961*g**3 + 80*g**2 - 9. Let y(m) = -1923*m**3 - 159*m**2 + 21. Let c(d) = 7*f(d) + 3*y(d). Find the third derivative of c(x) wrt x.\nAnswer: 5748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169144416 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*j**2 - 68*j**2 + 42*j**2 - 164*j**2.\nAnswer: -259*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 o when three letters picked without replacement from ibobiiouu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Suppose -1340 = -5*a - g*u, -a + u = 3*a - 1085. Suppose -y = 2*y - a. Calculate the greatest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8318184 and 28?\nAnswer: 8318184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -5\/6*t**3 - 21\/8*t**2 - 54 + 3\/16*t**4 + 18*t. Factor c(x).\nAnswer: (x - 3)**2*(3*x + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4373?\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2389700 and 0.9?\nAnswer: 2150730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4433*d**2 + 2220*d**2 + 2209*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 divided by 44740.\nAnswer: -53\/8948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -74744432, -149488861, -224233290, -298977719, -373722148, -448466577?\n\"Answer: -74744429*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 5:36 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d - 17*d + 3*d - 15*d - 3*d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6218, -5581, -3864, -527, 4970?\nAnswer: 13167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103707414?\nAnswer: 2, 3, 23, 250501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465888.6 litres to millilitres.\nAnswer: 465888600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-5) + 17\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/24 - l**3 + 2*l**2. Let g be c(-11). Suppose b + 0*b = -5*s + 28, 3*b - 104 = g*s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13937 in 0.1, 3\/22, 21, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amiffaa. Give prob of sequence im.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 3*(0 - -1). Let v(d) = -4*d. Determine v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnm when three letters picked without replacement from cmmbcmcnob.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4109 - -6.876.\nAnswer: -4102.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 370\/24*(-6 + (-140)\/(-25)) and ((-8)\/(-1376))\/(2\/44).\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/5)\/(-8 - 164\/(-20)). Let m be 5\/t*-3 + -2. Factor 1\/2*s**5 + 0*s + 0 - 1\/2*s**4 - 3\/2*s**2 - 5\/2*s**m.\nAnswer: s**2*(s - 3)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 459*h + 657 + 4127 = 65*h - 1914 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -6, -1001.\nAnswer: -1001, -6, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3\/17 - 1070*h**2 + 438482*h\/17 + 7021630\/17 = 0.\nAnswer: -9119, -11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 8*j - 9. Give p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/450 - (-454)\/30. Find the second derivative of -33*x**4 - 27*x**4 + 63*x**4 - g*x - 6*x**5 wrt x.\nAnswer: -120*x**3 + 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129335 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 38. Let r(k) = k**2 - k + 1. Let g(m) = -5*m**2 + 4*m - 7. Calculate q*r(a) + g(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -62, -85, -102, -113, -118?\n\"Answer: 3*m**2 - 38*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 39578\nAnswer: -3\/19789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-33)\/(-18) + 2\/12. Let a be 7 - (k + -4 - -4). Which is bigger: a or 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -401.\nAnswer: 5\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -22 - (3 - (-1 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q + 30. Let s(k) = -5*k + 59. Let g = 89 - 87. Let d(w) = g*s(w) - 5*m(w). What is the derivative of d(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 + 193.5. Let v = 190 - l. Which is the closest to v? (a) -4 (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 11*a - 5. What is k(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.252 - 0.19. Let z = h + -0.0620066. What is z rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (497\/21*-3)\/((112\/(-8))\/(-14))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6805329, -6805319, -6805309?\n\"Answer: 10*y - 6805339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 1\/60*u**5 - u**2 + 0 + 1\/8*u**4 + 0*u + 1\/3*u**3. Let z be v(-2). Solve 0 = g - z + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 + -235. Let r = h + 113. Suppose -6*z + r = -2*z. Calculate the highest common factor of 44 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-14))\/(19536\/5698)*3\/11.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 94 - 56 = 0. What is the lowest common multiple of 7 and (-36)\/(-30)*l\/9?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(99) + sqrt(11)) + 5)**2 + (sqrt(121)*-2*5)\/sqrt(11).\nAnswer: -15*sqrt(11)\/2 + 411\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4265883?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 2*t + 20, -3*b - 2*t + 77 = 0. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 13) + -13 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1963 or -119?\nAnswer: 1963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7547 (base 12) to base 5.\nAnswer: -402441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x**4\/5 + 838741*x**3\/5 + 1677474*x**2\/5 - 3354964*x\/5 - 6709912\/5 = 0. Calculate x.\nAnswer: -838739, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 7290851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 39*n - 35*n + 45, d = 2*n - 9. Is d less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 609510636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 16*g + 59. Suppose -o - 2*o - 2*o = 0. Calculate the remainder when n(o) is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82106*z + z**2 + 50141*z + 31965*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-1 + sqrt(75))*-6)*6 - -1*(sqrt(75) - (-4 + sqrt(75) + (sqrt(75) - (sqrt(75) + sqrt(75) + -1 - sqrt(75)))) - (-2*sqrt(75) + 4)))**2.\nAnswer: -22100*sqrt(3) + 90925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645185 is divided by 64489?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1773 - 4.8203. Let n = 7 + t. Round n to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 - 231. What is the second derivative of -212*q**2 - 11 - b*q**5 - 5*q**3 + 413*q**2 - 201*q**2 - 3*q wrt q?\nAnswer: -60*q**3 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1121, -2146, -2981, -3530, -3697, -3386, -2501?\n\"Answer: 16*y**3 - y**2 - 1134*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 47*i + 46 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8*((-11)\/55)\/((-24)\/75). Solve 0 = 5*w - 3*u, 3*w + u - q*u = 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/6 + 5*n**3\/3 - 10*n**2. What is the derivative of i(c) wrt c?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1034710.\nAnswer: -1\/517355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**4\/24 + 7*v**3\/6 + 2*v**2. Let i be o(-5). Does 15 divide i\/(((-1)\/(-17))\/((-5)\/(-10)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 30213131312330?\nAnswer: 30213131312313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -877512 (base 9) to base 14.\nAnswer: -d8c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.51 + -26.9. Let b = 0.01 - 0. Let f = y - b. Sort f, -2, 1\/6 in decreasing order.\nAnswer: 1\/6, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 133 - 17?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + (-868)\/(-8). Suppose -4*p + 454 = -2*s, -p + 2*s + t = -0*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10332, -10412, -10538, -10704, -10904, -11132?\nAnswer: -11382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - 64. Suppose 40*c - 35*c = s. What is the highest common divisor of 38 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-9\/7)*o**(-4\/11) assuming o is positive.\nAnswer: o**(-50\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 4*u**2 + 0*u**2)*(2 + 2*u - 2) + u**3 + 21 - 5 - 42 to c + r*u**2 + w*u**3 + m*u and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32048 is divided by 5292.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 2:22 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*b*l**3*w - b*l**3 - 2*b*l*w**3 + b*l*w - 5*b*w**3 - 3*l**3*w**2 wrt w.\nAnswer: -12*b*l*w - 30*b*w - 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41.1100012355 - -41.11. What is y rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38119 and 4.077.\nAnswer: -38114.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.292, 0.03, 24, 0.1?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5f (base 16) in base 15?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -494, -1986, -4472, -7952, -12426, -17894?\n\"Answer: -497*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-2 - 0) + 2. Suppose -5*i - 3*x + 128 - 13 = 0, -i = 4*x - 40. Suppose -p*z + 3*z + i = 0. Calculate the least common multiple of z and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m + 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*h = -73 + 614, 0 = 3*j - 2*h - 410. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 > 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232063670?\nAnswer: 2, 5, 23206367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 - -10 - 3) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/93 and -149\/7626.\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p - 21. Let q be o(-4). Suppose k + 135 = 5*j - 2*k, q*j - 3*k - 81 = 0. What is the remainder when 107 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (-98)\/(-28) + 1\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j - 26. Let s(o) = 7*o + 17. Let a(l) = -5*k(l) - 8*s(l). Let f be a(-6). Sort -1\/2, f, 4 in descending order.\nAnswer: 4, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 33. What is m(41)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54480 and 3226?\nAnswer: 87876240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 59389 > 59388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*s + 60 = 0, -2*a - 2*s - 55 = -5*a. What is the remainder when a is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 48. Let p be s(-26). Let n = -16 - -11. Let w = n - -5. Solve 16 = -y + 3*t, w = 3*y - t - p*t + 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.0216 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-4)*1 - 38. Let i be ((-318)\/q - 7) + (-2)\/13. Solve -2*n - 4*c + i = -n, -n + 5*c - 8 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/5))**(-32)*((z*z**(-1\/4))\/z)**(-2\/13))**10)**9 assuming z is positive.\nAnswer: z**(15021\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 2\/13, -4821, -18, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**4\/12 - 5*q**3\/6 + 3*q**2 - q. Let k be s(6). Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 6300?\nAnswer: -13\/3150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1407 and -3265.\nAnswer: 4593855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -78*k. Is y(-16) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127045, -255128, -383211, -511294, -639377?\nAnswer: -767460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**4\/12 - 53*t**3\/24 - 21*t**2\/4 - 45*t. Find w, given that r(w) = 0.\nAnswer: -3\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7415005 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300310211 (base 4) to base 7.\nAnswer: -3633165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/2)\/((-1650)\/165).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let a be 8 - v*2\/2. Is ((-5)\/a)\/(1\/(-89)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 3*w**7\/49 + 59*w**6\/35 + 128*w**5\/35 - 44*w**4\/7 - 208*w**3\/21 + 144*w**2\/7 - 206*w. Find y such that n(y) = 0.\nAnswer: -18, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 466*h**3 - 928*h**3 + 467*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 518\/169 (c) -3\/4 (d) 1 (e) -0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*t - r, -3*t - 13 = -2*t + 3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13069 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2649 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**4 - 2*h**4 + 0*h**4)*(10 + 22 - 10).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1900) + sqrt(19))*4.\nAnswer: 4 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 28, 40, 50, 58, 64, 68?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 9:49 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 2:16 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (10 - (22 + -26)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22044124425 + 2?\nAnswer: -22044124423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10210*s + 201484 = 7247*s for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-1 - -3)*-1. Let j = -14 + w. Let b = 15 + j. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 1547 = -221. Let v = 225 + u. Solve -v*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 3 (b) 7 (c) 4.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(640) + sqrt(40))*4)\/(1*sqrt(8)*3 + (sqrt(72) - (2*sqrt(72) - sqrt(72)))\/sqrt(9)))**2*4*6.\nAnswer: 256000\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y + 1310, -3*y = -3 - 9. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -39.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8659 and 4571.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:01 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41055 and 39270.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 + 6*k**2 + 8*k**2 - 27*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/28 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 22 = -5*p - 3*v, 5*v + 10 = -p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7479.441324 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2251*s - 2337*s + 258. Solve 0 = -s*x - 15, 28 = n - 70*x + 66*x for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -7211593\nAnswer: 14423186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 9*r - 6. Let t be n(-4). Let b = t - -12. Calculate the remainder when 16 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 510 and 4530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = g, 2*q - 6 + 20 = 2*g. Let w be (-8)\/(2 + (-36)\/15). Solve w = -g*o - 0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-1\/7)*f**(-7)*((f*f*f**2)\/f)**(-20\/3)*(f**(3\/5)\/((f\/(((f\/(f*f\/f**(-4\/7)*f))\/f)\/f)*f)\/f))**(3\/14) assuming f is positive.\nAnswer: f**(-6596\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 5. Let n be 3\/4 - (-189)\/(-28). Let l be x(n). Suppose -l*v = -13*v + 12. What is the remainder when 20 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(0 + 2\/(-1)). Solve 0 = g*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05179463 to 5 dps.\nAnswer: -0.05179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/32 and -77\/4544.\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/20)\/(3\/4). Suppose -b - 30 = 4*b. Let y be 2\/3 + 4\/b. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1669 divided by 29.\nAnswer: -1669\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -38) + 1 + -2 + -358 + 324\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 51. Calculate i(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 0)*(f + 6*f - 2*f)*(-30 + 30 + 7*f + (4 - 2 - 4)*(5 - f - 5)) as o*f + s*f**2 + t and give s.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188276 and 43568?\nAnswer: 5271728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-19\/2)))\/z**31)**11 assuming z is positive.\nAnswer: z**(-891\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 6) to base 13\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (119 - 302) + 106 - -107?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - ((sqrt(539) + -1 + sqrt(539))**2 - sqrt(539))) + -3 - sqrt(55)\/(sqrt(10)\/(sqrt(2) + sqrt(2)*2)).\nAnswer: -2160 + 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -914637 by 3.\nAnswer: -304879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 599, -3, -4 in ascending order.\nAnswer: -4, -3, 1, 2, 599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 12*r + 7*r = 49, 5*r + 19 = -z. Solve n - 24 = -5*y, 0 = -3*n - 2*y + z*y - 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -1118488?\nAnswer: -5\/159784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 + r**2 + 2*r + 1. Let w be l(-1). Let u = -2 - w. Let i = u - -6. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2. Let m(d) = -4*d**2 + 15*d**2 - 6*d**2. Let j(b) = -5*b**2. Let z(q) = 5*j(q) + 6*m(q). Calculate z(a(w)).\nAnswer: 45*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-9))**19 assuming j is positive.\nAnswer: j**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 = -4*b - 12*r - 400, 0 = -2*r - 17 + 7 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 40f - -a?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 5:28 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18\/27473 + 1105526\/10082591. Find the common denominator of o and 73\/6.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 2*y - 4. Suppose 20 = s - 2*i, -s + 2*i = -5*s + 70. Suppose -4*w + s = -w. Let j be w\/4*(-2)\/(-1). Determine t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -489.327257 rounded to 2 decimal places?\nAnswer: -489.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 7*c**4\/4 + c**3\/3 - c**2\/2 + c + 4. Let p be v(1). Suppose 8*o - 40 + p = 0. Solve -3*a - o = -7*a, -2*h + 13 = 5*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 52 - 51.5. Let z = 2.8 + -2.7. Sort 3, z, g in ascending order.\nAnswer: z, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*h + 18 = -h, 3*h = -15. Let m be (u*10\/5)\/(6\/15). What is the nearest to -0.1 in -2, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 348.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.54 times 0.5\nAnswer: -2.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12074*k**4 + 4539*k**2 - k wrt k.\nAnswer: 289776*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1628*c + 6122*c**2 - 456*c**2 + 815*c + 813*c to the form v + f*c**2 + r*c and give f.\nAnswer: 5666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 211083 (base 10) to base 8\nAnswer: 634213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 871434.1 litres in millilitres?\nAnswer: 871434100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 13 - 21, 3*h + 34 = 2*k. Calculate the lowest common multiple of k and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1752209571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54672 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 9421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-630)\/(-405))\/((-2)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2691063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 263844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 6*g - 5. Suppose 5*u - 4*w - w - 145 = 0, 4*w + 41 = u. Suppose 0 = 3*f - 8*f + b + u, 3*b = 0. Calculate l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -31.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27234 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-364))\/((-1)\/(-2))*(-8)\/4\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-4) + -3)\/(2\/1). What is the third smallest value in -9, u, -14?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-3 - -4))*0. Let r be -58*(-2)\/(-28) + 5. Which is greater: m or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 582 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3) + 77\/55?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487660456.\nAnswer: 2, 60957557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19140936 and 11963085?\nAnswer: 95704680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 492, 993, 1508, 2037, 2580, 3137, 3708?\n\"Answer: 7*n**2 + 480*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g + 15. Give f(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 24*s**2 - 2*s - 2. Calculate the remainder when b(-2) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(5 + 0 + 15)*(2*z**3 + 7*z**2 - 7*z**2).\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**13*(u\/(u**(-2\/13)\/u))\/u*u**48*u**(2\/43)\/u)**(-6\/5) assuming u is positive.\nAnswer: u**(-121416\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -4*f - 173*p + 175*p, 4*f - 31 = 7*p + 49 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022344 (base 5) to base 6.\nAnswer: 211424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.465 - 3.\nAnswer: -2.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6764 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/60 + 11*i**4\/24 + i**3 + 7*i**2. Let q be j(-12). Calculate the greatest common divisor of q and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 573 + -2908. Let w = -2334.99013 - h. Let y = -0.01 + w. What is y rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471807482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i - 28. Suppose -15*h = 758 - 698. Give k(h).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9078.47 - 9041. Let r = -0.47 + k. Let v = 36.6 - r. Which is the nearest to 6\/7? (a) 0.5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450594 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464975389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*6\/4*15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 59*j**2 + 13*j - 5. What are the prime factors of u(2)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -3\/5, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1109, -4431, -9973, -17741, -27741, -39979, -54461, -71193?\n\"Answer: -n**3 - 1104*n**2 - 3*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5258232l in millilitres?\nAnswer: 525.8232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.8, 24.\nAnswer: -4, 0.8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -2, -0.4, -3398?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**5\/20 - z**3\/3 + 1. Let k(q) be the third derivative of p(q). Let y(b) = b. Calculate y(k(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -3.37592\nAnswer: -0.337592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 13. Let p(x) = 2*x + 13. Let z(c) = 6*p(c) - 5*y(c). Let g be z(-9). Let i = g - -3. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6580 by 20.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -12*m + 202. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from ojpomjpjmomopomopo?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*g*n**3*t**3 + g*n**3 - 12*g*t**3 - 13*n**3*t**3 + 16*n*t**3 wrt g?\nAnswer: -5*n**3*t**3 + n**3 - 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000482692 to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 9\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let l = 1 - -3. Let f(t) = -t - 1. Let o be f(l). Give d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616371 is divided by 20545?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -12, 0 = -u - 4*u - 5*x + 240. Suppose 12*j + u = 165. Put 1, 4, j in decreasing order.\nAnswer: j, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 5904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.9 and -10.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14612.\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 + 2*m**3 - 12*m**2 - 8*m + 16 = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14 + (235\/7 - 23)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.28 + -6. Let j = g + 1. What is j rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6502*0.03.\nAnswer: 0.139506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 19*d**2 + 111 + 117 - 347 + 119. Let f(z) = 3*z. What is c(f(a))?\nAnswer: 171*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 418, 422, 428, 436, 446?\n\"Answer: b**2 + b + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*a + 757*a - a**2 - 1513*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 - 2 - (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 34*v = 4928. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 4*x + 20 = 0, 0 = 2*v - 5*x - 18. What are the prime factors of ((-70)\/(-6) + 1)\/(v\/6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2190 - 35*o + 2190)*(-o + 1 - 1)*(2*o - 3*o + 4*o).\nAnswer: 105*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 = 2*d, -m = -d + 3*d - 11. Let j(q) = -5*q + 3*q - q**2 + 4*q**m + 0*q - q**2. Let c = -941 + 936. Let b(t) = t**3. Calculate c*b(h) + j(h).\nAnswer: -h**3 - 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-3) - (-123)\/(-39). Sort 0.5, h, 0.\nAnswer: h, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 14*l + 4. Let d be o(-14). Let q(v) = -v**3 + 4*v**2 + 2. Let m be q(d). Which is the nearest to -0.1? (a) m (b) -2\/11 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2. Let x(a) = -753*a. Calculate l(x(q)).\nAnswer: 1134018*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -15*f**2 - 2016*f - 804 = 0.\nAnswer: -134, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 19 - 5 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, -8688, -13 in ascending order.\nAnswer: -8688, -13, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.6 - -8. Let f = u + -0.4. Let z = -459 - -475. Is f not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1065 and 1636770?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2\/11, 3\/7 in decreasing order.\nAnswer: 3, 3\/7, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**3 + 39*c**2 + 24*c - 29. Let i(s) = 5*s**3 - 19*s**2 - 13*s + 12. Let v(y) = 13*i(y) + 6*t(y). What is v(-11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9677\/10 + 972. What is the common denominator of b and 91\/75?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.258146 - -0.4.\nAnswer: 0.141854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15222123 - 15222243.000236. Let q = 120 + f. What is q rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -13. Suppose h = -2*d - 4*r + 2, 13 = -3*d - 0*r + 2*r. Let v be 2\/(-9)*-3*d. What is the third smallest value in -5\/4, -1\/2, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37099622?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**2 - 2*y**2 - 6*y**2 + 2*y**2 as s + q*y**2 + t*y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q - 46*q = 62. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*l - 4 = 28, -3*l + 12 = 3*q. Solve 0*c + 4*v + 4 = -2*c, -q = 4*c + 2*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -3*t + n, 4*t + 3*n - 185 = 9. Suppose -4*r - 68 = -4*v, 4*v = -0*v - 5*r + t. Calculate the smallest common multiple of 5 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 7197*l**3.\nAnswer: -7197*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let y(f) = -2804*f + 2807*f - 1 - 4. Determine 2*l(q) - y(q).\nAnswer: -q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 816960144*t. Let d(l) = -2*l**2. Give d(f(r)).\nAnswer: -1334847753769001472*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u + 76. Let p be x(-5). Let q(r) = -3*r**3 + 2*r**2 - r. Let a(h) = -12*h**3 + 9*h**2 - 5*h. What is p*a(b) + 18*q(b)?\nAnswer: -6*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01004 - -0.01004. Sort -4, t, 174, -3, 1\/4 in descending order.\nAnswer: 174, 1\/4, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (172\/(-950))\/(-2 + (-156)\/(-90)) and -93\/40.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*c**3 - 865*c**3 + 1186*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*t = 49, 2*t - 45 = -3*z - 11. Calculate the remainder when 66\/(-21)*(1 - 8) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 5. Let p = -92\/5 + 18. Which is the second biggest value? (a) p (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Suppose 10 = 5*w - 15. Calculate the highest common factor of n and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*c + 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 12598080?\nAnswer: 12598080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/40 - 3*f**5\/40 + f**4\/16 - 8*f - 1. Factor l(p).\nAnswer: 3*p**2*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d**2 - 79*d - 78. Determine v(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 0.02, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 99.04. Let v = m + 16. Which is the smallest value? (a) 0.4 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850793.7mg in tonnes?\nAnswer: 0.0008507937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 2, l: 1, u: 4, a: 1}. Give prob of sequence zud.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 7. Let w = 10 - 6. Let p be (-3)\/2 - (-2)\/w. Let z(x) = x + 1. What is p*j(i) - 6*z(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/5 + (16 - (-4122)\/(-162)).\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (2 - -15) - ((3 - -51) + -3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3 - (6 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.360703 to 2 dps.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11947 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-2) + -5 - -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -4, 1\/7, -0.5, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12514797752 and -0.038.\nAnswer: -12514797752.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h**2 + 642*h + 1598. Determine y(40).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let g = -12 - -17. Suppose 4*v - 2 = g*f, 3*f - 8*f + 16 = 2*v. Let r(b) = -b + 32*b + f*b. What is s(r(z))?\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 + 9 = 0. Let y(q) = -q**3 + n*q**2 + 5*q**2 - 2*q**2 + 2*q**3 - 7*q - 3. What is y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30011229 = -5*d + 84641861. Let r = d + -4885554. Suppose 6*y = r + 22814936. What is y rounded to the nearest one hundred thousand?\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 119 - 28 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1962041*n**4 - 10859809*n**2 wrt n?\nAnswer: -47088984*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/7 - (-4 + (-388)\/(-28)). Let j = g + 14. Solve -j = -0*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*1*(-63)\/(-252)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x. Let b be w(1). Let c = b + -4. Differentiate 3 + c*i**3 + 0 - 1 with respect to i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikopikkgkooiiii. What is prob of sequence iokk?\nAnswer: 3\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, -a - 4*u + 11 = -2*u. Let i(o) = -3*o. Let g(s) = -7*s. Let m(d) = 4*g(d) - 9*i(d). Let p(f) = -2*f. Let b(j) = m(j) - p(j). Give b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -28*j + 87. Solve -6*q + 3*q + 27 = j*z, -5*q - 5 = -5*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*t**3 + 820*t**3 - 273*t**3 - 269*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-21)*2\/(-4). Let h = -1\/338 + 685\/3042. Which is the smallest value? (a) j (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1680\/(-6))\/(-14) + -1*8. Suppose 42 = -12*w + 150. Solve -6*b = -w*b - r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 + 4*l + 2. Suppose 8*j - 16 = 4*j. Let u be v(j). What is the units digit of 1\/u*(9 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 60*r + 351. What is p(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1880 and 21\/940.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -199 + 199. Solve l - 4*l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 988\/171 + (-2 - (-20)\/9). Find k, given that -6*k**2 - 28*k**3 + 93*k**3 - 2 - 28*k**3 - 35*k**3 + l*k = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380781653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*o - 8*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**3\/3 - 95*w**2\/3 - 95*w - 60.\nAnswer: 5*(w - 12)*(w + 1)*(2*w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3909695 rounded to two decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -90.8 times -1065\nAnswer: 96702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 1\/2*g**2 + 1 + 69*g. Is b(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.2158684 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/7 (b) -5 (c) 1\/16 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 190 - 169. Calculate the remainder when 4\/18 - (-1076)\/18 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - -2. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/16)\/((-24)\/(-32)). Suppose -8\/3*q**3 + s*q**4 - 32\/3*q + 16\/3 + 8*q**2 = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3 + 12060*a**2 + 827639*a + 3117660 = 0?\nAnswer: -11991, -65, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**2 + 4*w. Let l(r) = 102*r**2. Give q(l(z)).\nAnswer: -135252*z**4 + 408*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2356 is divided by 569.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2205609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650 (base 9) in base 15?\nAnswer: 104c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*l**4 + 64*l**2 + 945?\nAnswer: -48*l**3 + 128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 3 = n + 5*b, -3*n = 5*b + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 52*p - 87. Suppose 5*d = 25, -6*o + 3*o = -2*d - 20. What is the hundreds digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/10 + h**4\/2 + 18*h**3 - 112*h**2 - h + 4. Factor j(n).\nAnswer: -2*(n - 8)*(n - 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511989994 a multiple of 1460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28207, 56415, 84623, 112831, 141039?\nAnswer: 169247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 - 1484\/(-10). Suppose -y = -2*p - 3*l, 2*p - 5*l = -6*l + 140. Calculate the remainder when p is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*k + 75. What is the remainder when 28 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*w + 90 = 0. Solve 12*r - w*r = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 7*t. Let p(v) = -v**3 + 92*v**2 - 93*v + 185. Let w be p(91). Let o(k) = 9*k**2 - 21*k. Give w*o(s) - 8*h(s).\nAnswer: 3*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c9951 (base 14) to base 10.\nAnswer: 4790115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77.6 + 75.6. Sort 0.02, p, -3, -4\/3.\nAnswer: -3, p, -4\/3, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**2 + 4*t - 5 + 7 + 3*t**3 - 4 + 4*t**3 in the form y + r*t**2 + p*t + o*t**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g + 24. Let b(r) = -2*r + 13*r - 2*r**3 - 1 - 20*r**2 + 17*r**2. Is b(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23123348 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*o - 681 = -27 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:42 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 385649.1 hours?\nAnswer: 16068.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(20)\/sqrt(4) - sqrt(5) - ((sqrt(140) - sqrt(35))\/sqrt(7) + sqrt(5))**2.\nAnswer: -20 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 4, -2\/7, 69\/7, -3, 3.09, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 24 = -3*v, 2*v + 4*f = 7 - 11. Calculate the lowest common multiple of 41 and v.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58121234?\nAnswer: 2, 47, 618311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10434 and 85728?\nAnswer: 3171936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312*z - 45 = 303*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**6\/120 - y**4\/12 + y**3\/6 - y**2. Let u(f) = -f - 7. Let p be u(0). Let b = p + 5. Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54071 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 51 = g. List the prime factors of (0 + -1)\/((-3)\/g).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331043398.\nAnswer: 2, 7, 251, 94207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 468.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1*sqrt(84))\/sqrt(12))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k + 8. Let m be x(-6). Suppose -4 = -c - m*a, -2*c = 2*c + 4*a - 16. Differentiate r**c - 2*r**4 - 1 - r**4 with respect to r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738 (base 10) to base 7.\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/136992 and 91\/14367036.\nAnswer: 114936288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Which is the nearest to -0.1? (a) w (b) 0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-90) + (-86)\/5. Let z = -15 - t. Sort -2, -5, z in decreasing order.\nAnswer: z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 (base 15) in base 11?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 9 = -3*r, -36*f + 24*f + 75 = r for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*v - 2*x, -3*v + 4*x + 11 = -12. Solve -v*q = 5*l + 12 + 18, -q = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/285 + (-1848)\/(-228). Solve -24 = 2*j + 5*w, o*w = j + 9*w + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 537*s**4 - 2 - 4541*s + 4543*s - 60*s**4 in the form a*s**3 + m*s**4 + y*s**2 + o*s + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i, 2*s - 3*s + i + 13 = 0. Suppose 11*t = s*t - 180. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 4.\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 39*f - 271 = 37*f, 5*f = 4*a - 230. Solve 304*b = 293*b - a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -855 - 440. Let d = -467 - g. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 + 18*k - 8. Let t be 2993\/(-369) - 7\/(-63). Determine c(t).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -42. Let v = -57 + r. Factor v*c**3 + 2*c**4 - 2*c**2 - 43 + 43 - 2*c**5.\nAnswer: -2*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffqfffffqff. Give prob of sequence fff.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2023213 (base 4) to base 8\nAnswer: 21347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.4, -90, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 0*y**3 + 0*y**3 + (0*y - 2*y + 0*y)*(y**3 + 0*y + 0*y) + 54*y**4 - 32*y**4 + 77*y**4 + (-3*y**2 - y**2 + 3*y**2)*(-y**2 - 5*y**2 - y**2).\nAnswer: 102*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6962534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 6*f + 6. Let d be p(6). Let l = d - 4. Suppose -5*r + 4*a + 63 = 0, 5*r - 5*a - 2 = 58. Solve 0 = l*i + 5*m - r, -i = 4*i - 5*m + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/574304 and -31\/287152.\nAnswer: 574304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 1. What is h(-18)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1053\nAnswer: -1\/1053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 4*a + 2*i + 88, 110 = 5*a + 4*i. What is the highest common factor of 33 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 198389.\nAnswer: 79355.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**5\/20 + 13*o**4\/12 + 4*o**3\/3 - 21*o**2 - 49*o + 1. Calculate the remainder when r(-10) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4 = -4*z. Suppose 4*m - 4 = -4*s - 8, 5*m = -z*s - 7. Solve 0*g - 4 = -s*g - 4*d, -5*g = 4*d - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/17928 and -71\/85158?\nAnswer: 340632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 623, 841, 1059?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 900801211 to the power of 1\/4, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*1*(sqrt(220)\/sqrt(4) - sqrt(55)))\/(6*(sqrt(320) + sqrt(320)*-3)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 5, 70, -5, -37.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 9. Let r be p(-6). Suppose 2*c = -3*b + r*c + 71, -c = b - 29. Suppose -3*d + 3*s + 0 = -12, -4*s - b = 5*d. Is -1\/12 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2271, 2217, 2143, 2049, 1935?\nAnswer: 1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2 = 2*d - 4, 0 = -3*d - 5*w + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = v + 27, -7*k + 4*v = -4*k - 6. Let o(g) = 2*g - 5. Let w be o(k). Let l(s) = 2*s - 3. Is l(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 10*k - 1300. What are the prime factors of (-5 - -12)\/(10\/k)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13905936 times 5\nAnswer: -69529680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**2 - 24*n**2 + 47*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k - 3*k + 2 + 9*k - 4*k. Let z(j) = 8*j - 2*j - 8*j. Calculate g(z(n)).\nAnswer: 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.5 (c) 42 (d) -0.3953 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2573 (base 9) in base 16?\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2)\/(270\/(-2790))?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2789 and -11437 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64\/112*14\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*j = j + 33, 3*u + 4*j = 25. Which is smaller: 3\/18617 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1.26 (c) 0.1 (d) 8 (e) -0.048 (f) -5 (g) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.28359 milligrams to grams.\nAnswer: 0.09828359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 144?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 1, 3 in decreasing order.\nAnswer: 3, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -5*sqrt(300)*2)**2 + (sqrt(300) - (sqrt(300)*3*5 + sqrt(300))) - ((sqrt(1452) + -1 + 0 + sqrt(12) + 0)*4)**2.\nAnswer: -3364 + 618*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(((((w\/(w\/w**(-2\/23)*w*w)*w)\/w)\/w)\/w)\/w))*w**(-10)*(w**(-3\/11))**1 assuming w is positive.\nAnswer: w**(-3886\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -i + 6, 2*i + 3 = 243*j - 244*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-18)*35\/(-10)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 7:13 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 3*h**2\/2 + 237. Let v(x) = -16*x**2 - 3*x - 3. Let m(u) = -48*u**2 - 8*u - 8. Let w(a) = -3*m(a) + 8*v(a). Give w(d(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2 - -4) - -2. Let l(s) = s**2 - s. Let j be l(y). Suppose r - 3*r + 8 = j. Solve 3*b + r = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 35, 75, 129, 197?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -1\/4*p**4 - 108*p - 142 - 36*p**2 - 5*p**3. Let h(w) = 0. Calculate w.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from {f: 2, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*j + 550*j + 866 = 68 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**2 - 13*a + 15. What is the lowest common multiple of 55 and k(6)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0193627 rounded to 4 dps?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 + 6*q**2 - 6*q - 13. Let h(r) = -r**3 - r**2 - r - 1. Let t(i) = -c(i) + 5*h(i). What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -421947584*b**2 + 731338262.\nAnswer: -843895168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*f + 7*s, 0 = -5*s + 10. Let m be f + (-4)\/1 + 206. Suppose 7*u = 2*u + m. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let o = -35 + 37. Let b(t) = t**2 + 22 - 11*t - 23 + 0*t**o. What is 2*b(r) - 11*s(r)?\nAnswer: 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 50*c**2 - 55*c - 55. Let q(m) = -m**2 + m + 1. Suppose 6 - 4 = x. Determine x*o(a) + 110*q(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, m: 2}. Give prob of sequence mu.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 30, -1, 1 in ascending order.\nAnswer: -1, -4\/7, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 10. Let r be a(9). Suppose 3*h - 5 = r. Solve -3*m - 26 = -h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2800\/(-3500))\/(((-22)\/20)\/(-11))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 170*4\/16*188\/10. Let l = j - 351. Let b(k) = k**3 - k**2 + 2*k. Let r be b(4). What is the highest common divisor of l and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10632 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51408 by -84.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 51*l + 410. Let o be s(-10). Suppose o = -15*f - 5*f + 12480. What is the greatest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -34424*m**2 - 20*m + 34427*m**2 - 30 + 13. Determine c(10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.84 - -0.23. What is the second smallest value in 0, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -225801? (a) -1 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50646 is divided by 1960?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2240 and -61\/1968?\nAnswer: 275520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4345)\/30)\/(-11) + ((-9)\/18)\/((-23)\/(-460)). Factor -3\/2*n**2 + j*n - 1\/3.\nAnswer: -(n - 2)*(9*n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13933.89 micrometers to meters.\nAnswer: 0.01393389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201200102001 (base 3) in base 13?\nAnswer: -10743a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12419 and -0.218.\nAnswer: 2707.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 29. Let w be x(24). Let k(g) = -w*g**2 + 52*g - g**3 - 98*g + 51*g - 4. Determine k(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 7*k**2 + 7*k + 9. Let r be y(-6). Let h be 2\/(8\/28) + 2. Let q be ((-33450)\/h)\/(r\/1800). Round q to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 42 = k, 4*k - 5 - 103 = -4*w. Let n be 2 - -2 - ((-6)\/(-3) - 0). Suppose 4*r - 10 = n*f - 0*r, 0 = -5*f - r + k. Solve f*h - 6 + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12377203, 24754404, 37131605, 49508806, 61886007, 74263208?\nAnswer: 86640409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53151 and 24864?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 209 + 419 - 220 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672 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: Is 297 a factor of 193050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19\/97, -2\/3, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Is 4 a factor of y(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5451 - -5443.553. Let y = -0.047 - z. Let n = 7.39688 - y. Round n to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 122824500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = -3*a, -2*a = k - 0*k - 6. Let o(g) = g**3 + g**2 + 10. Let x be o(k). Calculate the highest common divisor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -4, -68, 1, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -80*w**2 + 38*w**2 + 34*w**2. Let o(a) = 9*a**2 + 1. Determine y(o(t)).\nAnswer: -648*t**4 - 144*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-10368)\/(-12))\/18)\/(-3)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2080, 2\/5, -3, 1\/4, -5 in ascending order.\nAnswer: -5, -3, 1\/4, 2\/5, 2080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103609437181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, -486, 6, -4.\nAnswer: -486, -5, -4, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 5. Let h be u(4). Let c = -210 - -212. What is the third derivative of -c*x**3 + 0*x**3 - 2*x**2 + x**h wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.68794ml in litres?\nAnswer: 0.04168794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16\/y*y)**(3\/5)*(y*y**(1\/26))\/y**(-2) assuming y is positive.\nAnswer: y**(1643\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, -2\/3, -5, -0.7 in descending order.\nAnswer: 1, -2\/3, -0.7, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/367, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 34*l + 72. Let i be c(-36). Suppose i*m + 72 = 12*m. Suppose 4*w - 21 = w. Calculate the lowest common multiple of w and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 4*x + 6. Let o be (0 + -5)*(6 + -7). Suppose -2*p + 12 = -o*p. Let w be m(p). Solve i + w = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58107, -62354, -73883, -96336, -133355, -188582, -265659?\nAnswer: -368228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -165*x + 1034. Calculate v(16).\nAnswer: -1606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1104\/621)\/(78\/(-1404))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2 + (-2 + 16 + 112)*(-1 + 4 - 2)*(4 - 5 + 4))*(-3*n + 0*n - 2*n) as y + l*n and give l.\nAnswer: -1895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708 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: Express 2 - 169*c - 4 + c**3 - 2*c**2 + c**4 + 177*c as i*c**2 + p*c**4 + r*c + u + h*c**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*u + 5*p + 18, -2*u - 4*p = 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 6*c + 5. Let l be y(6). Suppose 0 = 4*f - f - 5*d, l*d = 4*f. Which is bigger: f or -3\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + (-63)\/54. Let f = 2.9 + -3. Let m = 87\/4 + -22. Which is the closest to -0.1? (a) q (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 29*z**4\/24 - 5*z**3\/3 + z**2 + 13. Differentiate o(n) with respect to n.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13424034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p*p*p*(p\/p**(2\/5))\/p)**(-2\/107) assuming p is positive.\nAnswer: p**(-31\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576842, -1153727, -1730654, -2307623, -2884634, -3461687?\nAnswer: -4038782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 58.649.\nAnswer: -17.5947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:10 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3108 + 3107. Let k(v) = -38*v + 1. Calculate k(g).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -28. Suppose -3*f = -n + 18, -y*f - 42 = 2*n - 4*n. Suppose x - 5*c + n = 0, -5*x + 5 + 5 = c. Calculate the greatest common divisor of x and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 8 = 5*j + 2*d, -3*d + 6 = 0. Let y(b) = -3 + j - b. Suppose -65*t - 58 = -7*t. Let v(z) = -z - 1. Determine t*y(x) + 2*v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1140?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -144 + 18?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 436 - 457 - (-214)\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-224)*120\/165.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 3 - (32 + (-4 - 16))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 2*c - 52. Let n = c + -569\/8. Let x = -3 + 2. What is the third smallest value in 3\/2, n, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248070 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*m**5 - 56*m**3 + 125*m**2 - 4 wrt m?\nAnswer: 240*m**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + t + 31800 = -10*d, -5*d + 5*t + 31780 = 0. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = v, b = -0*b + v - 1. Let t(d) be the third derivative of 1\/3*d**3 - d**2 + b*d + 0 + 0*d**4 + 1\/60*d**5. Determine t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-12)*(-84 - -30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 0, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 2, -0.10209, -12, -1\/5 in descending order.\nAnswer: 2, 2\/5, -0.10209, -1\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20679.468 rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-560)\/60 + 11 + (-244)\/15\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/2 + (2 - 1). Let y = -2.25 + 2. Let i = y - -0.05. Put o, i, -2\/25 in descending order.\nAnswer: o, -2\/25, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 2*o**2 - 3*o + 4. Let d be i(-3). Let h(a) = 2*a - 4. Let u be h(d). Let r(t) = 2*t. Let m be r(1). Solve -p + m = u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3356692.\nAnswer: 2, 19, 29, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-0.13.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 11:23 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a - 37. Let o be f(26). Suppose -149 = -4*j - o. Calculate the greatest common factor of j and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x + 28. Let j be u(-4). Suppose 56*k - j*k - 12 = 0. What is d in -3*d**2 - 2*d + d**2 + 2 + 5*d**3 - 6*d**3 + k*d**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 21. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786 is divided by 72?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.293854 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 11*f - 31. Let o be r(13). Let q be -240*(4 - (-22)\/o). Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z. Let p(j) = 3*j**3 - 12*j**2 + 15*j. Let u be (-8)\/20*10\/(-4). Let x(r) = u*p(r) - 12*n(r). Find the second derivative of x(s) wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**5 - 3*r**5 + 0*r - r + (-2*r**2 + 2*r**2 + r**5)*(-3 + 3 - 1).\nAnswer: 5*r**5 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose -80 = 3*y - 7*y. Suppose 134 + y = m*k. What is the greatest common factor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3803 or -5?\nAnswer: 3803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 487 - 222. Suppose i*k - 269*k + 28 = 0. Suppose -l + 3*f + 0 = -3, 0 = -2*l - 2*f + 14. Solve l*h = k*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24064)\/(-32))\/(-16) + 34?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12921 and 40179?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -8*h - 5*m - 82, -188*h + 372*h - 14 = 188*h + 3*m + 25 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d + 16. Suppose -2*l + 4 = -l. Suppose -2*v = -l*v. Give m(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -171*b + 167*b - q, -b - 4 = 3*q. Let f = 0 + 3. Solve -3*a - 6 = f*k, -3 = -b*k - 3*a - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + b = 6, -n + 2 = -2*n + 3*b. What is the second biggest value in n, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 6*y - 3. Let o be i(-5). Suppose o*x + 1 = 5. Solve 3*d = 4*k + 14, -2*d + 0*k + x = k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*d - 7 - 0, 2*d + 22 = 4*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2\/7 + 1236*f\/7 - 176 = 0. Calculate f.\nAnswer: 1, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -11*i - 8. What is the remainder when 67 is divided by g(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q**2 + q + 2. Let w be f(2). Suppose -393 = -5*h + 2*h. Let d = h + -657\/5. Is d at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 - 9*w**2 + 4*w + 4. What is the hundreds digit of v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1*(-3)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674109.\nAnswer: 3, 13, 171131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/(-2)*135\/3726. Let z = -617\/230 + y. Calculate the common denominator of -117\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and ((-30)\/(-21))\/((-1)\/(-7)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804 is divided by 263?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 5*c + 10, 10*c - 1 - 19 - 5 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 21*o**3 + 52*o**2 - 743*o - 25. What are the prime factors of c(13)?\nAnswer: 7, 23, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2)\/(28\/(-21)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 2*i - 2. Let l be 2\/(-1 - -4 - 4). Let p(b) = 15*b**2 - 11*b + 11. Calculate l*p(a) - 11*d(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l + 56. Let u be g(-14). Suppose -296 = -4*b - u. Solve 3*i = 5*w - 4, i + 2 = 5*w + b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201681?\nAnswer: 3, 22409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 7*h + 6. Let p be x(-6). Suppose 0 = -13*n + p*n + 3*b + 1546, -4624 = -3*n - 5*b. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {g: 1, h: 2, v: 3, b: 2, c: 12}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c - 6. Let o be w(-4). Suppose 0 = -p - o*p + 15. Suppose 4 = -a, 0*a = 5*g + 5*a - p. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 18*p - 29. Let z be w(-11). Suppose i = 2*c, -33*c + 38*c - z = -5*i. Solve 0 - 2\/3*s**i + 2*s = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, 18, 3, -7 in decreasing order.\nAnswer: 18, 4, 3, 2, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -803*j + 811*j - 18000 = 0. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 568.01 + -575. Let b = -209 - -202. Let j = g - b. Is -1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.148? (a) 4 (b) 0.3 (c) 5 (d) 2 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 351\/4 - 88. Let v = -15 + 17. Let r be 0 + -4 + v + -2. Which is the second biggest value? (a) r (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 373.0481 + -373. Round h to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -0*c - 4*c. Let z(b) = 38 - 12 - c - 3*b. Let w be z(0). Are w and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1848\/47 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c**(1\/23))))\/c**(-20) assuming c is positive.\nAnswer: c**(507\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1)*(11*v + 0*v - v)*(12*v**3 - 4*v**3 + 5*v**3).\nAnswer: 260*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -4 (c) -3 (d) 62 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000839058 to six decimal places.\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 21*u - 98. Suppose -2*l - 1 = -u. Solve -w + 7 = 2*x - 1, 2 = 2*w - l*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 64. Suppose p = 3*x - 22. Let d(t) = t**3 - 13*t**2 + 5*t + 34. Let n be d(14). What is the highest common divisor of x and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14973 is divided by 1082.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 153. Which is the fourth biggest value? (a) -0.1 (b) j (c) -4 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 22.7.\nAnswer: -113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8066*j + 7879?\nAnswer: -8066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**4\/5 + 116*d**3\/5 - 512*d**2\/5 + 528*d\/5 = 0.\nAnswer: -33, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 5*d + 2. Let f be w(-7). Let h(l) = -72 + 0*l**2 - f*l + 102 + l**2. Let m be h(14). Solve -3*q - 16 = 4*b, -b + m*q = -0*b - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*s + n + 12, -5*s - n - 11 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irrr when four letters picked without replacement from {r: 5, i: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-82 - 97 + 128)*(l**2 + l**2 + 0*l**2) + 0*l - 3*l**2 + 0*l in the form r + t*l**2 + n*l and give t.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 3*u + 18, 447*q + 2*u = 444*q + 13. Suppose -2*k + 4 = -4*p + p, -3*k - 5*p + 25 = 0. Solve -4*l + 3 + 3 = -5*s, -5*s = -k*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1344*x = -1018*x + 38142 for x.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sysyyyysyyyyyyyssyyy. What is prob of sequence ysys?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -123 + -4 - 5\/((-15)\/12)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 288 (c) -1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 102734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2546629 is divided by 363800.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 47*53\/(318\/36)*2\/(-4). Which is the second smallest value? (a) i (b) 0.03 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.79 - -23.75. What is the fifth biggest value in -2, -0.5, 2\/3, -1, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 11*w**2 + 14*w + 27. Let p be k(-12). Suppose 4*z = -0*t - 2*t + 168, -p*z + 2*t = -140. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 283, 0.053, -6 in decreasing order.\nAnswer: 283, 0.053, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4 - 257*k**3 + 13070*k**2 - 88624*k = 0. Calculate k.\nAnswer: 0, 8, 58, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*v = 254*v + 90. Suppose 12*x - 20 = 17*x. Sort v, 4, x, -5 in decreasing order.\nAnswer: 4, x, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(-13)\/(-1144)*((-72)\/(-6))\/24*-16.\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5067583 days to nanoseconds.\nAnswer: 43783917120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13399800?\nAnswer: 2, 3, 5, 23, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:48 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.17 (b) 1\/4 (c) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-224)\/42 - ((-70)\/(-15) - 5). Suppose 2*n - 7 = -p, -2*n - p = 3*p - 16. Put a, -6, n, -2 in increasing order.\nAnswer: -6, a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f. Let c(k) = k. Let h(t) = -3*t. Let m(j) = -5*c(j) - 2*h(j). Calculate m(p(n)).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*c - 53925 - 39660. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 2*i - 36 = 0. Suppose 3*t - 5*d - 2 = 0, 5*t - 5*d + 3 - 13 = 0. Suppose -t*p + 11 = -29. What is the least common multiple of p and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 68*u + 26. Let g = -80 - -103. What is the units digit of c(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 397528 + -276?\nAnswer: 397252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than -22.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116671 (base 11) to base 9.\nAnswer: -311050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -362, -354, -348, -344, -342?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiqyaswwyiy. What is prob of sequence sw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7244 + -7242. Solve 6*z = -p + 2*p - 11, 8 = -k*p - 3*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/22 (b) -0.24 (c) -14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15731062 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 o when four letters picked without replacement from {l: 1, q: 3, o: 3, w: 1, y: 3, k: 3}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2622, 2621, 2620, 2619?\n\"Answer: -b + 2623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a391bca - -1?\nAnswer: 8a391bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gur when three letters picked without replacement from {k: 2, g: 1, a: 5, u: 1, o: 2, r: 2}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**3\/3 + c**2 + 2*c - 1. Calculate p(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 - 35*j - 35. Let n(c) = 5*c**2 + 35*c + 35. Let q(l) = 7*n(l) + 6*w(l). Let t(r) = -r - 1. Determine q(o) + 35*t(o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-6)*(-224)\/1224 and -89\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - -6) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 6*t**2 - 8. Let j(m) = -m**2 + 13*m + 62. Let k be j(17). Give q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4029558605 to the nearest integer?\nAnswer: 63479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459282 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times -36578?\nAnswer: 146.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*g - 172*g + 7 = 0. What is the closest to -1\/4 in -5, 5, g, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 3) + 1)\/(-1). Let d be (-3 - p - -2) + 1. Is d greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22179272 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.57 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032830 rounded to the nearest 10000?\nAnswer: 1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -788.938471 to 1 dp.\nAnswer: -788.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q**2 - 517*q - 4181. Determine k(-32).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 26*u**2 - 199*u + 6201. Calculate m(27).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -16 - 10\/(-20)*(-3 - -1). Let u(t) = -t**3 - 18*t**2 - 27*t - 16. Calculate the remainder when u(s) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {k: 3, b: 4, g: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472394 divided by -13.\nAnswer: -36338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 4*v**2 - 3*v - 1. Let q be z(-2). Let y be 35 + q - 4\/(-2). Let l = -35 + 86. What is the greatest common factor of l and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1192\/(-53640))\/((-2)\/(-6))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2558, 5126, 7708, 10304, 12914, 15538, 18176?\n\"Answer: 7*y**2 + 2547*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - 12 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -35*o**3\/2 - 35*o**2\/2 + 254*o. What is the units digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38086 <= -38058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**4 - 13*x**2 + 7*x - 7. Let z(y) = 4*y**2 - 2*y + 2. Let w(k) = 2*v(k) + 7*z(k). Factor w(u).\nAnswer: -2*u**2*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v = -114*v - 560*v - 1394 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.36 (b) 1\/4 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d**4 - d - 2*d**2 + 5*d**2 + 3*d**3 - 14*d**4 + 27*d**4 to the form j + l*d + b*d**2 + a*d**4 + r*d**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1. Let o be 105\/245 + (-1398)\/420 + 3. Sort o, 42\/5, a in descending order.\nAnswer: 42\/5, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -607*v - 44651. What is w(-73)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 290 - 294. Let d(v) = -v**2 + 2*v + 3. Give d(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13801762 minus 1056628?\nAnswer: -14858390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 87 - 47 - 45 + j**2 in the form q*j**2 + l + b*j and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025806804 to 6 dps.\nAnswer: 0.025807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*t + 0 + 3*t - 147*t + 6.\nAnswer: -361*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -252*b**3 - 4*b**2 - 16*b - 13. Give k(-1).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y + 92 = 0. Suppose v + 0*v + 5*f - 29 = 0, 37 = 3*v + 5*f. Calculate the remainder when y is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5 - b + 0*b - b**2 + 5 - 5*b. Let s be w(-7). Suppose 0*x - s*x = -87. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3224130 + 4?\nAnswer: 3224134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7557 is divided by 1244?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1085\/19 + 7 - (13838\/418 + -33)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18694613, 37389211, 56083809?\n\"Answer: 18694598*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2764489 * -4.\nAnswer: -11057956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1211\/11 - -108. What is the common denominator of z and -63\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1122*s**2 + 154. Let a(i) = -22*i**2 + 3. Let v be (15\/(-9) + 2)*135\/105*7. What is v*d(y) - 154*a(y)?\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a84628 (base 11) to base 15.\nAnswer: 493904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7260535939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9385687 and 843244.\nAnswer: -8542443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5*o**2 - 20630*o + 2208800 = 0.\nAnswer: 110, 4016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 8*y + 14. Let m be b(-5). Suppose u + m = 5*g, -3 = -4*u + 1. Solve 10 = 4*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 6:48 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - z**2 - 4 - 7 + z**2 + 7 + (-3 - 2 + 3)*(-5*z**2 + 0*z**2 + 0*z**2) + 3*z**2 - 2*z**2 - 2*z**2.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9 - 9*i**2 + 467*i - 232*i - 253*i. Let w(s) = 3*s + 26. Let m be w(-8). Let h(k) = -3*k**2 - 6*k - 3. Let a(d) = m*v(d) - 7*h(d). Factor a(b).\nAnswer: 3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8158 = -5*r + 5953, 18780 = 4*t - 2*r. List the prime factors of t.\nAnswer: 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 35. Suppose -2*y + 22 = -0*p - 4*p, 0 = 2*y + 3*p - 43. Is 6 a factor of u(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3379.7 - -3380. Which is the closest to -1? (a) -1\/2 (b) p (c) -13\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0147 - 2.0147. Which is the fourth smallest value? (a) w (b) 3 (c) -1\/3 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a - 8. Let o(n) = n + 7. Suppose s + s + 10 = 0. Let c be o(s). Suppose -4*j - j = -2*r + 28, 4*r - 8 = -c*j. Give h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*d**2*i + 207532*c**2*d*i*u + 2*c**2*i + 72*c*d**2*i*u - 3*c*d**2*i + 4*d**2*i*u - 98*i*u wrt c.\nAnswer: -2*d**2*i + 415064*d*i*u + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-93)\/(-124) - (90\/8)\/3. Suppose 4*o - 6 = o. Put o, -2, c in increasing order.\nAnswer: c, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/14)\/(18\/(-21)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*w - 439 = 393*w. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**2 - 98*g - 360 = 0.\nAnswer: -45, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -4. Calculate the least common multiple of 3 and (-2)\/f + (-84)\/(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.3541485 times 4\nAnswer: -21.416594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 + 187. Let r be 12\/5*1*5. Calculate the greatest common factor of o and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(48) + sqrt(3))**2.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1*1*sqrt(187))\/sqrt(11).\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 944 - c8?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 3205. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 1. Let q be o(-5). Suppose 36 = q*w - 12. Suppose 2 = 4*i - 6. Calculate the highest common factor of w and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303*-0.004.\nAnswer: -1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -43*f - 4983. Determine p(-112).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285699557 or 285699559?\nAnswer: 285699559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -334762 times 465\nAnswer: -155664330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, w: 1, k: 2}. Give prob of picking 1 f and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 521 and 1251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 17*j**2 + 6*j + 39. Let c(t) = 35*t**2 + 13*t + 83. What is 13*a(r) - 6*c(r)?\nAnswer: 11*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-247 + 1)*84\/9. Let z be b\/(-40) + (-4)\/10. Suppose 3*f + t - z = 0, -2*t - 24 = -2*f + 2*t. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 14*w**2 - 5.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -840*o**2 + 1980*o. Let c(k) = -2*k**2 + 3*k. Let w(t) = -1320*c(t) + 2*h(t). Let f(y) = -y. What is w(f(v))?\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 33. Let y(u) = -170*u**2. Calculate l(y(v)).\nAnswer: -340*v**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from {f: 1, b: 2, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 137903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, d: 13, o: 4}. Give prob of sequence ddo.\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 174182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17351 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - o**2 + o**2 - 3*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -533*m - 5305. Let o be n(-10). Solve o*z + 36 = -14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jlv when three letters picked without replacement from jrrrjnkrklkkvlrrn?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 3*x = 949. Determine v so that -84*v**2 + x*v + 19*v + 131*v**3 - 111*v**3 - 32 + 4*v**4 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -273. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Let i(m) = -4 + h - 2*m + m + 3. Let z be i(6). Let w(u) = -u + 3. Give w(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) -3\/8 (c) -1 (d) 7 (e) -14 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10452 and 31991964?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 1, f: 1, i: 1, b: 2, x: 1}. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177*494.84.\nAnswer: 87586.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -14*l - 1. Determine r(7).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3016*h + 114667. Calculate d(-38).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**4\/66 + 16*u**3\/11 + 100*u**2\/11 - 452*u. What is b in f(b) = 0?\nAnswer: -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*z = -18, -3*n - 3*z = -14 + 2. Let k = n - -5. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96814*100\nAnswer: 9681400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 329269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*(-12)\/(-6)*130\/208?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 117827 or 117884?\nAnswer: 117884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 15*k**2 + k + 15. Let m be w(-15). Sort 3, -4, m in decreasing order.\nAnswer: 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -23. Put g, 3, 10, 5 in decreasing order.\nAnswer: 10, 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z**(-19\/4)*z*z)\/z)\/((z*z**(2\/3)*z)\/z)*(z**3)**(-13) assuming z is positive.\nAnswer: z**(-497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59759.\nAnswer: 7, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -25, 1, -63, -1, 3.\nAnswer: -63, -25, -1, 1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, -9, -40, 49 in ascending order.\nAnswer: -40, -9, -5, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 29*w - 307065. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/11)*a)\/a*a*(a*a**(-9\/2)*a)\/a*a)\/(a*a**3)**(2\/7))**4 assuming a is positive.\nAnswer: a**(-870\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(304))*4*6 - (3 + 1*(-3 + sqrt(19) + 2 + sqrt(19))))**2.\nAnswer: -9400*sqrt(19) + 170384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + (sqrt(200)*-1)**2)*-1.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 2 c when four letters picked without replacement from {l: 1, u: 1, k: 1, f: 2, c: 2, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3665 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - m**3 - 2*m**3)*(-3*m**2 + 2*m**2 - 4*m**2) + 81*m**5 + 105*m**5 - 75*m**5.\nAnswer: 106*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/1033 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4946 = -10*o + 5*o - 4*d, -4*d = -5*o - 4954. Let k be (2\/(-36))\/(o\/(-135)). Is k bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55784+19.321872308\nAnswer: 55803.321872308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -19. Let y(b) = -3*b - 7. Let f be y(j). Let i(v) = -v + 13. Let l be i(f). Solve 0 = -p - 1 - l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -775 or -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 789, 2959, 6589, 11697, 18301, 26419, 36069?\nAnswer: 47269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 51.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22885578 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.3195g in micrograms?\nAnswer: 174319500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 64565*h + 1678695. Determine z(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 11466882.\nAnswer: 11466882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 2*f**2 + 9 - f**4 + 8*f**3 - f**4 - 5*f**3 - 8 as p*f + t*f**2 + y*f**4 + u + j*f**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 0.004 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - 6*1\/1. Let i = 6 + -10. Let m = 0.118 - 0.618. Which is the closest to i? (a) k (b) 6\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) 0.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/(y\/y**(2\/33)*y)*y*y\/((y\/(y\/y**(3\/2)))\/y)*y assuming y is positive.\nAnswer: y**(169\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198*l - 532*l + 87*l to the form v + m*l and give m.\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -529 in -5, 4, -3, 155?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a + 22. Let z be v(7). Calculate the greatest common divisor of 32 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125780 by 62890.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 12, 22, 34, 48?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 152681 and 95 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-3))**(-15)*(a\/a**(1\/4))\/a*((a*a**(1\/2))\/a)\/a assuming a is positive.\nAnswer: a**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2094 - -0.2494. What is the third biggest value in q, 5, -2, 13, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 2 (c) -4 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -425 + -15?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (5 + 19)) + (27 - -2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**2 - 35*b + 4. What is w(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let p(d) = -3*d - 2. Let v(l) = -4*a(l) + p(l). Let f = -99 - -100. Give v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*k - 43, 2*k = -c - 2*k - 1. Suppose c + 2 = 3*v. Let b(a) = -a**2 + 3*a. Give b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/44 (b) 0.4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(198)*2 - sqrt(198))*6)\/(sqrt(9) + (sqrt(900)*-2 + sqrt(9) - sqrt(9))))\/((sqrt(99)*-1*-3)\/(sqrt(27)\/(sqrt(3)*2))))**2.\nAnswer: 2\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*m = x - 372*m - 38 + 36, 29*m = 2*x + 3*x - 202 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/7)\/(((-8)\/(-7))\/4). Let w = -1.98 - 0.02. Which is the third biggest value? (a) -0.2 (b) w (c) k (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.2385174 minutes to days.\nAnswer: 0.00433230375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 63*q. Let c(l) = -2*l**2 + 27*l. Calculate r(c(y)).\nAnswer: -126*y**2 + 1701*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j - 36*j - 16*j**2 + 16*j.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hthhhhhthhhhhhhhhhh?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5641 <= 850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:42 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**4 + 2*g**3 - 6*g**3)*(3*g - 5*g + 3*g).\nAnswer: -5*g**5 - 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1141550 (base 7) in base 16?\nAnswer: -2352b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -16*q. Let f(c) = 515*c. Let b(l) = 515*l. Let z(j) = -6*b(j) + 5*f(j). Let i(g) = 195*o(g) - 6*z(g). Let k(y) = 2*y**2. Calculate i(k(n)).\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2137099 and 1503?\nAnswer: 19233891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 261488*k + 5492168. Determine f(21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/3952380 and -15\/131746?\nAnswer: 3952380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 36345416*g**3 + 165123621681212*g**2 + 330247352398680*g + 165123694372050.\nAnswer: 2*(g - 9086355)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/627 and 61\/14307.\nAnswer: 157377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (29 - (32 - -7))) + 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-15)\/3)*-1)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, u: 8, y: 2}. Give prob of sequence kk.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(2940))\/(sqrt(48)*-3) + (-5 + 1 + -5 + -1*sqrt(5))**2).\nAnswer: 101*sqrt(5)\/6 + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p + 8 = 11*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-492)\/(-4) + (2 - 6) is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 1, c: 1, e: 2}. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -361734.25 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 + 3*x + 1. Let m be s(3). Suppose -j - 24 = 2*j. Let a = j - m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8244 or -8245?\nAnswer: -8245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300 (base 5) in base 9?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2\/((c*c**(-5)*c)\/c))\/(c*c**(-1\/2)*c)**21 assuming c is positive.\nAnswer: c**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -311*t**3 - 250*t wrt t?\nAnswer: -1866*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-15))\/((42\/(-44))\/(-7)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14488556 and 38?\nAnswer: 275282564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 16*p**3\/3 - 3*p**2\/2 + 10. Find the second derivative of s(o) wrt o.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 43. Suppose -38*z + 12 = -f*z. Suppose -z*q - 48 = -6*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250642453 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7295601 litres to millilitres.\nAnswer: 729.5601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 101*a**2 - 2546*a + 101. Calculate h(-50).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + sqrt(1331)*-2 - (sqrt(99)\/sqrt(36) + sqrt(539) + -1).\nAnswer: -59*sqrt(11)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 425*y**5 + 3*y + 74?\nAnswer: 8500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14459 + -7921. Suppose 158 = -10*r + w. Suppose 3*f - 10 = r. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -31*z**6\/20 - 418*z**5\/15 + z**2 - 347*z. Find the third derivative of x(t) wrt t.\nAnswer: -1116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 7) in base 2?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 19*d - 9. Let o(w) be the third derivative of 19*w**4\/24 - 5*w**3\/3 - 15*w**2. Let y(s) = 3*o(s) - 2*u(s). Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(7\/2))\/((i\/(i**2*i))\/i)*(i\/i**(2\/5))\/i**(-2\/9)*(i**(-2\/3))**(-36)*(i*i\/i**(-1\/7))\/i**6 assuming i is positive.\nAnswer: i**(18563\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -41 - -3 - (-1 + 2 + 1). Let i = j - -44. Let c(m) = i*m + m + 2*m - 6*m. Let n(p) = 5*p. What is c(n(h))?\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2285814 is divided by 403.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282*x**2 + 85*x**2 + 21*x**2 - 1835*x**5 wrt x?\nAnswer: -110100*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2545*b = -2132*b + 2093 - 28938 for b.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 5 = 5*w + 5, -20 = -2*u + 2*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 315\/202 + -1522621\/976670. Let w = -352951\/9670 - g. Calculate the common denominator of 47\/4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwtz. What is prob of picking 1 t and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 12*t**3 + 4*t**2 + 77*t + 243. What is q(-7)?\nAnswer: -4216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y + 26. Let w be n(-11). Let h be 1*(-3 + 11 - w). Suppose m = -h*f + 78, 4*f - 4*m + 0 = 88. What is the smallest common multiple of f and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308*s + 85*s + 18*s)*(-2*s + 2*s**3 + 2*s) - 42*s + 44*s + 0 - s**3 - 2*s**4 + 3.\nAnswer: 820*s**4 - s**3 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -1, 40, 115, 230, 391?\n\"Answer: n**3 + 8*n**2 - 18*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 33*x + 122 - 36 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25932261 and 3006.\nAnswer: 155593566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -319*l - 15 + 11 - 3*l**3 + 315*l. Let q(f) = f + 1. Let r be q(-4). Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5 + 26 + 19 = -4*r, r - 1 = -2*d for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 178*m**2. Let c(y) = 44*y + 88. Let u(l) = -45*l - 80. Let f(p) = 10*c(p) + 11*u(p). What is f(h(d))?\nAnswer: -9790*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*k**3 - 144*k**4 + 138*k**4 - 5*k - 229*k**3 in the form d*k**2 + u + p*k**3 + c*k + l*k**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*v - 164*v + 11*v**3 + 328*v - 7*v**4 - 28*v**3 as s*v**3 + q*v**4 + k*v**2 + x*v + i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*o*p**4 - 8*o*p - o + p**4 - p**2 wrt p?\nAnswer: -1536*o*p + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 - 53*j + 1327. Determine k(-42).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -22*w - 89 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2568 and 29\/474420.\nAnswer: 101525880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40b (base 16) to base 3\nAnswer: 1102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -227 + 223. Let k = 2082.2 + -2082. Which is the smallest value? (a) f (b) k (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4656.603 years in decades?\nAnswer: 465.6603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 smaller than -2296\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/285966 and -19\/2669016?\nAnswer: 8007048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/64 and -1\/112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14 (b) 1\/6 (c) 0.1 (d) 2\/9 (e) -7\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 15) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -34\/17812659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, o: 2, w: 1, j: 3, s: 3, b: 3}. Give prob of picking 1 w, 2 b, and 1 o.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4695 to two decimal places.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 15*q**2 - 11*q + 181. Calculate the remainder when o(19) is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136be (base 15) to base 7.\nAnswer: 346400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**3 - 546*z**2 - 115*z + 7. Let b(d) = -7*d**3 + 544*d**2 + 138*d - 8. Calculate -5*b(j) - 6*s(j).\nAnswer: -j**3 + 556*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -18\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 = -15. Let r be (-5 - (p + 1))\/2. Suppose 0 = -5*b + 5, -5*d + 4*d - 6 = -2*b. Put 2, r, d in increasing order.\nAnswer: d, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(32\/(-11)) + -3)*-16. Suppose 2553 = a*y - c - 0*c, y - 4*c - 627 = 0. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (4 + -1)*136\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1705549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 45 = -4*r, 18*f - 2*r = 16*f - 18. Let s be 0\/(f\/12 + (-45)\/20). Solve s = m + 7 - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 52 (b) -5 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 8 = 0. Suppose 5 = -7*z - i. Is -12\/13 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 32 and -14\/31447 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 18*z**3 - 48*z**2 + 32*z = 0. Calculate z.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -52\/5, 1\/10, -6\/7 in ascending order.\nAnswer: -52\/5, -6\/7, 1\/10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d*d)\/(d\/d**(-5\/12))*(((d*d\/((d*d**(-1\/23))\/d*d)*d)\/d)\/d)**(-33) assuming d is positive.\nAnswer: d**(-1615\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73637\/6 - -12272. What is the nearest to 0 in -3\/4, g, 0.29, 0.3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 35 = 4*s, -2*z - 2*z = -s - 25. Which is the third biggest value? (a) 0.5 (b) -4 (c) -2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 117, -1199, 9, 2 in descending order.\nAnswer: 117, 9, 5, 2, 0, -1199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 + 27*t**2\/2 - 337*t. Calculate m(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-5 - 2) + 3 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16045 (base 8) to base 6.\nAnswer: -53205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4651.2?\nAnswer: -4649.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 11. Let x(u) = -3*u + 32. Let p(i) = -8*r(i) + 3*x(i). Calculate the remainder when 62 is divided by p(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41413478+-1.6\nAnswer: -41413479.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 17*p = 5168. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-8) - (0 + 4294\/532)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 0.7, -1325 in descending order.\nAnswer: 0.7, 0.2, 0.1, -1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29568 and 4704.\nAnswer: 206976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -111. Suppose -p - 4*b = -f, -b - 2 - 1 = -p. Suppose 3 = 3*r + 3*k, 0*k - 2*k + 12 = 4*r. Solve 0 = -v + 2*x + 4, -2*x + 32 = -p*v - r*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 704 - 3674. What is the common denominator of 83\/21 and (-37)\/((-13)\/(13\/t))?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**4\/16 - 65*w**3\/8 - 153*w**2\/2 + 3*w - 49. Solve z(d) = 0 for d.\nAnswer: -3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321807 divided by -61.\nAnswer: -321807\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert c654 (base 13) to base 3.\nAnswer: 1101122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2157513*n**2*y**4 + 4*n**2*y + 2*n**2 + 3*n*y**2 - 55*n*y + 738*n - 14*y - 2 wrt y.\nAnswer: 25890156*n**2*y**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 + 8*o - 3. Let i(r) = -r**2 + 1. Let c(g) = i(g) - n(g). Suppose c(f) = 0. Calculate f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*n + 4*r - 16 + 34, -4*r - 11 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*j = 0, 2*c - 4*j + 2 = 3*c. Suppose 0*h + h = c. What is the remainder when 172\/6 - 1\/(-3) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 156. Let h = y - 32. Let c = -28.3 + 1.3. Is h smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -16. Let q be 2\/(-9) - 654\/f. Solve -3*g - q = -4*o - 4, 3*g - o + 14 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n - 11*n - 7*n - 8*n + 43*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**5\/5 + 13*q**4\/4 - 14*q**3\/3 - 25. Factor y(c).\nAnswer: c**2*(c - 1)*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 - 9*v - 6. Let h be c(-8). Suppose -h*s = 3*s - 5. Let b be 5\/(30\/9) + (-10)\/40. Is s not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*c + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:30 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, u: 4}. What is prob of sequence yy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(204)*1*-3)\/(sqrt(108)\/(sqrt(900)*2)).\nAnswer: 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqtueouoeeup. Give prob of sequence oe.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -404132 (base 8) in base 3?\nAnswer: -20202201201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000394643 to six dps.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 197902921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 710354488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-2226813)\/11 - 6\/(-11)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 12 = 0, -199*m + 197*m = 3*x + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + (-175)\/(-63). Put o, 0, 1 in descending order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.089, 2, -1, -5772?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870850163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/40 + -49\/120. Let s = 265.8 + -265.7. Let v be (4\/(-6) + 1)*-3. Which is the nearest to v? (a) -5\/3 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6529689*s**5 + 5*s + 59536 wrt s.\nAnswer: 130593780*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -941, -874, -807, -740?\n\"Answer: 67*d - 1008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23678528?\nAnswer: 2, 419, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0*r**2 + 0*r**4 - 1\/15*r**6 + 0 + r + 0*r**5 - 1\/6*r**3. Find the second derivative of q(o) wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2673))\/sqrt(11).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + 1))**2 - sqrt(133)\/(-1*sqrt(7)).\nAnswer: 19*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - n - 248 = 0, 3*n - 6 = -0*n. Calculate the remainder when p is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6684657414 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129 or -904\/7?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 230, 227, 222?\n\"Answer: -n**2 + 2*n + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.76919063 to 1 decimal place.\nAnswer: -99.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 8. Suppose 0*g + 84 = w*g. Let j = 29 - g. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3598 + 3822. What is the least common multiple of q and 280?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*a = 283*a + 308 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171*w**2 + 63*w**2 - 137*w**2 + 1 - 6*w - 4804*w**4 wrt w.\nAnswer: -115296*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/4 - 38*z**4 + 297*z**3\/4 + 229*z**2\/2 - 301*z + 150 = 0. Calculate z.\nAnswer: -2, 1, 2, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143266 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*g - 4*a = 42*g + 48, -233*g + 480*g + 8*a = 242*g + 120 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 1)*(-5 + 1 + 3)*(2 - 2 - b) - 2*b - b + 2*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y*y**0*y*(y\/(y\/(y*y**(-3\/5)\/y*y*y))*y*y)\/y*y*y\/(y**(1\/8)*y)*y**(3\/2)\/(y\/y**5)*(y*y\/y**0)\/(y**2*y) assuming y is positive.\nAnswer: y**(271\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rai when three letters picked without replacement from {r: 5, i: 3, a: 1, f: 4}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 322298736.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.7 + -25. Let g = -101 + 405\/4. Put g, -5, -1, j in increasing order.\nAnswer: -5, -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110000020 + -10211?\nAnswer: 2102212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:27 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*n + 21, b + 0*n - n + 3 = 0. Calculate the lowest common multiple of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1456301?\nAnswer: 7, 11, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p + p)*(2 - 2 + 12).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 31. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen fifths of a milligram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-17)\/5 - (-13)\/((-247)\/76)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*z - 120 = -83*z. What is the remainder when (-2138)\/(-18) - (-4)\/18 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**6\/120 - d**5\/10 - 7*d**4\/24 - d**3 + 84*d**2 - 2*d. Let r = 4 + -9. Calculate n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 210, 221, 236, 255, 278, 305?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 12:07 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 244651?\nAnswer: -244660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + c + 84. Let i = 23 + -12. Suppose -6*o + i*o = 0. Is t(o) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 75884370.\nAnswer: -75884374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16565037 - 2331.\nAnswer: -16567368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + y - 280 = 5*y, 5*h - y - 664 = 0. Let v = -658\/5 + h. Factor -v*g + 2\/5*g**4 + 2\/5 - 2\/5*g**5 + 4\/5*g**3 - 4\/5*g**2.\nAnswer: -2*(g - 1)**3*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 76\/20 - (-20)\/(-25). Suppose 0 = x*h + 3*h. Let y be h + (-7 - -4) + 12. Solve v = -2*v - y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244202134 (base 5) to base 11\nAnswer: 724696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11213321 is divided by 184?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/441056 and 145\/3696.\nAnswer: 1323168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/(-110))\/((-102)\/187). Let o(d) be the first derivative of 8\/3*d - r*d**2 - 11 + 2\/9*d**3. Solve o(s) = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:01 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/5)*m*m\/(m**(-1\/5)\/m)*m**(-1\/6)*m\/m**(-3\/4) assuming m is positive.\nAnswer: m**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2923731 = 3903. Let s = -1425878 - j. What is s rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/8 in -2\/13, 8\/7, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(15)\/sqrt(5)))**2*5.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 15*w**2 + 25*w - 10. Let a be l(-13). Solve -5*n**a - 1058*n + 1058*n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 332172.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from qqmmmqmmmmmmmmm?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.3, -0.6, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113802825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -1 (c) 1 (d) -210\/11 (e) 4401\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -596998884 and 212.\nAnswer: -596998672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1736866\/3 - 578954. Find z, given that -12 + 4\/3*z**3 + 12*z**2 - p*z = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 35 = 3*r - 6, 18*y + r + r = 6*r + 52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 141\/4180 and -49\/115368?\nAnswer: 576840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 4. Suppose -6*p + 839 = -445. Let u = -215 + p. Let h(v) = -1. Determine u*y(s) + 4*h(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27069699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 6:54 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-418)\/33*6\/4*(-10)\/(-5)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*t**2 + 35*t**2 - 1 - 1 - 80*t**2 as m*t + h + u*t**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-36)*4\/(-1)*-1*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(-1536 - 10*f + 1536)*(-22*f**2 + 30*f**2 - 21*f**2) as v*f**3 + d*f + q + c*f**2 and give v.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 31 = -2*f - 2, 13 = -2*f - 3*o. Let l(g) be the second derivative of g**3\/6 - 2*g**2 + g. Calculate l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 - 460*c**2 + 1890015*c - 1889550.\nAnswer: -5*(c - 570)*(c - 1)*(c + 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 2. What is the second smallest value in 1\/3, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/20 - 54\/(-8). Suppose -3*l + s*l = -236. Let f = 42 - l. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 476*w - 2. Let m(x) = -480*x + 4. Give -5*h(n) - 4*m(n).\nAnswer: -460*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 - 8*j - 2. Let a be v(-7). Suppose a*s - 8*s = -9. Let d be 1*s*1\/1. Is d > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 17 - 15 = 0. Calculate the remainder when 32\/d*-1 + -4 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 2252 = -2230 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -440433100 - 4?\nAnswer: -440433104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {a: 4, p: 5, z: 3, f: 2, e: 5, d: 1}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545455929.\nAnswer: 911, 1696439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.7173 centimeters to micrometers.\nAnswer: 2237173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 2.5. Let f = -389.8 - -432. Let h = f - 42.3. What is the closest to h in -3, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4748956?\nAnswer: 2, 1187239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*l**4*u**2 + l**3*u**2 + 16*l**2 + 3*u**2 wrt l?\nAnswer: 3408*l*u**2 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 + -0.5. Let o be (-24 - -49) + (-255)\/10. What is the closest to 1 in 0, o, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 10) to base 11.\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 52*z**2 + 15*z + 40. Is q(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5\/7 - 346*a**4 + 74012*a**3\/7 - 556028*a**2\/7 - 74010*a\/7 + 558450\/7 = 0?\nAnswer: -1241, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 11*h - 68. Suppose 2*t - 31 = h. Let i = -22 + t. Solve 2*m + r = -0*m - 13, -r = -m - i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 13) to base 5\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(3 + sqrt(72)*2) - ((sqrt(72) + (sqrt(72) - (sqrt(72) + sqrt(72)*1 + -2)))*-4)**2)*-6.\nAnswer: 2952 + 2592*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5831 - 1301.5?\nAnswer: -7132.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8*g - 50 = 0. Put -3, -4, 2, g in descending order.\nAnswer: g, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/21*2184\/(-52)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-16)\/30))\/((-189)\/252).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r - 1. Let o(u) = 5*u - 1. Let v = 3 + -3. Suppose v = -a + 4*h, a - 6*a = 2*h + 22. Let b(s) = a*q(s) + 5*o(s). What is b(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7310*r + 7238*r = 5472 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3782, -7571, -11360?\n\"Answer: -3789*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29677 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -51*m + 8 - 9 - m**2 + 49*m + 3*m**3. Let u(b) = -4*b**3 + 3*b + 2. What is 3*a(g) + 2*u(g)?\nAnswer: g**3 - 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 a factor of 305996096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6145*j*n**3*r**2 - 2*j*n**2*r - 7*j*n**2 - 5*j*n - 21*j - 4219*n**6 + 84*n**2*r**2 + r**2 wrt n?\nAnswer: 36870*j*r**2 - 506280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/20482 and -113\/24682?\nAnswer: 36109766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = u. Let b = 37 - 38.8. Let h = b + 3.8. Sort h, u, -4\/9.\nAnswer: u, -4\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4\/3 + 4316*p**3\/3 + 34780*p**2 - 260400*p = 0.\nAnswer: -30, 0, 6, 4340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7653, -15265, -22871, -30471, -38065?\nAnswer: -45653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1333486 and 9\/666743.\nAnswer: 1333486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -1\/60*p**5 - 6*p**2 + 0*p - 1\/12*p**4 + 0*p**3 + 0. Find the second derivative of r(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 763 = 2*y, 5*y = -z - 0*y + 243. Suppose 0 = 5*t - 3*f - 33 + 13, t = -f + 4. Suppose -t*p = 3*w - z, -2*p - 4*w - 4 = -118. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 - 5.13. Let n = 2176\/11 - 198. What is the closest to -0.1 in 2, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1696 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568\/(-2343)*(26\/208)\/((-2)\/(-36)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, -0.9, 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.03, 0.17, 1, 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let m(j) = j + 731101219. What is y(m(q))?\nAnswer: -2*q - 1462202438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 987*t**2 - 3*t + 1. Is n(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.16 + -2.16. Let w = f - -2.1. Which is the biggest value? (a) w (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a - 128. Let w be d(-64). Is w bigger than 3\/1271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 25*t - 835. Determine m(33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 908*i**2 - 61004*i - 1020100.\nAnswer: -4*(i + 25)*(i + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**3\/3 + 4*k**2 + 7*k - 82. Let u be d(-19). Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55424 is divided by 433?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.035152*16\nAnswer: -48.562432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)*l*l**(-3\/16)*(l**(-4))**(-28) assuming l is positive.\nAnswer: l**(1757\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -346, 125, 570, 977, 1334?\n\"Answer: -2*i**3 - i**2 + 488*i - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(3\/2))\/f**(1\/12))\/(f**10*f**(1\/4)))**(1\/7))**(-1\/8) assuming f is positive.\nAnswer: f**(65\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*x = -59 + 75, 4*a - 5*x + 19 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -27.636\nAnswer: -303.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9128 + -9127. Let f be 8\/(-14) - 3\/(-3). What is the smallest value in 2\/11, l, f, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + t**2 + 2*t + 2. Let a be g(0). Suppose 0 = -5*d - 3*v - 2*v + 770, -5*d = -a*v - 749. Does 39 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(2\/109)*i**(-3\/4)\/(i\/((i\/(((i\/(i*i**(-9)))\/i)\/i))\/i)))\/((i*i**(3\/5)*i)\/i**10)**(19\/2) assuming i is positive.\nAnswer: i**(134219\/2180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.859805cm?\nAnswer: 0.05859805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/5 - x**4 + 32*x**3\/3 - 24*x**2 - 3495*x. Let q(p) = 0. What is p?\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 0)*(-d + 0*d - d)*(221*d + 815*d - 345*d) in the form o*d**2 + n + f*d and give o.\nAnswer: -4146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054 + 1054 - 4*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 8*z**2 + 4*z - 6. Let n be t(-7). Suppose 4*r + 2*p - 1 - n = 0, 0 = -3*p + 12. Suppose a - 35 = -2*v, 0 = r*a - 3*a - 5*v + 41. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53748 divided by -6.\nAnswer: 8958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1565233 (base 7) to base 12.\nAnswer: -a6147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Suppose -4*u - v - 4 = 0, 0 = -2*u - v - v + 4. Calculate the remainder when (46\/4)\/(u\/(-4)) is divided by i(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -281*d - 4. Let f(s) = 560*s + 8. Determine 3*f(t) + 5*y(t).\nAnswer: 275*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 48653*y + 389332. Calculate z(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7e26 (base 15) in base 3?\nAnswer: -1100210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -223, -16\/11, -3, 6, 0.3, 5 in ascending order.\nAnswer: -223, -3, -16\/11, 0.3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssslsssssssls. What is prob of picking 1 l and 1 s?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 - -629 - (83 + 2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a factor of 582734542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:20 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -640*i + 8. Let a(u) = -2*u. Determine r(a(l)).\nAnswer: 1280*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eexgcgxezguuzuxg. What is prob of picking 1 z and 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 579 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1284 = 77*u + 25*u - 4020. Solve k + 3*s = u - 51, 0 = 5*k - 5*s + 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7017*s = -7118*s - 6767 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**2 - 2*a - 11. Let j be x(-4). Let n = -657\/4 + j. Let g = -1\/7481 + -186993\/239392. What is the common denominator of n and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - f + 8 = 0, 0*a - 2 = 5*a - 4*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 1824\/36 - (-1)\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*l + 8, -3*l - 5*v = -6*v - 12. Let g(s) be the second derivative of s**4\/12 - s**3\/2 - 3*s**2\/2 + 2*s. Give g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(22)\/(2*sqrt(176)) + 1.\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 320, 650, 980, 1310?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -313212126 + 2?\nAnswer: -313212124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k**3 - 36*k - 6. Let s(o) = -o**3 - 7*o - 1. Determine -2*j(g) + 11*s(g).\nAnswer: g**3 - 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1481090000 rounded to the nearest one million?\nAnswer: -1481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21271117 is divided by 42799?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 477 and 2229445?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46 - 26. Let h(p) = p**2 - 5*p + 2. Let v be h(9). Let s = v - k. Is s a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**5)**50)**(-1\/40))**(8\/7))**(-2\/21) assuming v is positive.\nAnswer: v**(100\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/8 - 1726254*u = 0 for u.\nAnswer: 0, 4603344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2241037, 4482043, 6723049?\nAnswer: 8964055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkpkpkkppkkkpbkkb. What is prob of picking 2 k?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144431 is divided by 28884?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and -24.\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21500 = -40*v + 4420. Calculate the greatest common factor of 2997 and v.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1144 + 1303. Let x = 119 + -115. Factor 57\/2*k**x - 1617\/2*k + 105*k**2 + 1029\/2 + y*k**3 + 3\/2*k**5.\nAnswer: 3*(k - 1)**2*(k + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 59.7734 nanometers?\nAnswer: 0.0000597734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*-1 - 0. Suppose -2*l + 128 = 2*i, 2*i = -l + 5*l + 104. Let o = -60 + i. Which is the closest to o? (a) -2\/5 (b) 2\/13 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 6) to base 3.\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48752 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 651427602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1943, 1942, 1941?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -31*v + 155. Calculate z(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -965 - -975. Solve 5*p - z = 0, 5*p = 3*w + p - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -7*d**3\/6 - d**2 - d. Let r(j) = -j. Let z be 16\/12*(-18)\/4. Calculate z*r(y) + i(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*q + 19 = -0*q, 5*q + 9 = -3*t. Differentiate -8 + 14*j**4 + t - 32*j**4 wrt j.\nAnswer: -72*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147022710 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 124 - (-23 + 134 + -19)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 8. Let u be g(8). Suppose u = -5*z - 5*b + 505, 203 = 2*z - 0*b + 3*b. Is 25 a factor of (-20)\/z + (-1252)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b + u + 132, u - 4 = 0. Find the third derivative of y**2 + y**4 - 148 + b + 10*y**2 wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181.8 + -165. Let z = 17 - i. Put -0.5, 0.1, z in decreasing order.\nAnswer: z, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 + -54. Let v(b) = 3*b**3 + 1 - 4*b - 3 + 2*b + 4*b. Let j(r) = 10*r**3 + r**2 + 7*r - 7. Let p(i) = s*v(i) - 6*j(i). Find w such that p(w) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26181110 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - f - 50*h + 57*h - 11*h + 26 = 0, -2*f - 6 = -h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 144.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + (-816)\/(-240). Let j(r) = 22*r**2 - 15*r + 3. Calculate the remainder when j(v) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41887?\nAnswer: 41887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -1 + 0 - 2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 46\/253 - (-42)\/11. Suppose -a*r = -3*r - 3190. Let d = r + -12683\/4. What is the common denominator of d and -57\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158.1 - 157.7. Sort -2\/373, 2, c, 3\/2 in decreasing order.\nAnswer: 2, 3\/2, c, -2\/373","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1254, 5098, 11520, 20520, 32098, 46254, 62988?\nAnswer: 82300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 2\/57*i**3 + 1\/570*i**5 + 0 + 0*i - 3*i**2 + 1\/76*i**4. Let n(p) = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + l**2\/2 + 102*l + 29. What is the units digit of i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -982.359 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 86*q + 856. Calculate t(94).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 356 = 148. Suppose -2*c - 5*f + 10 = 0, 3*f = -5*c + 7 - 1. Suppose c = g - 6 - 0. What is the remainder when q is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178880 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 13) to base 3\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(-3 - 331*f + 3 + 500*f).\nAnswer: -338*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((0 - -2) + -2). Let u(h) = h**2 - 4*h**a + 0*h**2. Let x(j) = -15*j - 13*j - 10*j + 50*j - 14*j. What is x(u(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 = -5*k + 1320 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/6452 - 3735723\/32260. Let n = y - -115. Let s = -4 + 6. Which is the third biggest value? (a) 0.3 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-1 - 1) + -6) - (1111 + -1085).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -459d?\nAnswer: -459c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -99834, -99810, -99786?\n\"Answer: 24*g - 99858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/4 and -35\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Suppose -y + 2*x + 6 = 0, 3*x + 0 + 3 = w. Is 2\/(-1)*(-134)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 20. Factor 71*y**2 - g*y - 77*y**2 + y + 3.\nAnswer: -3*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 5*y. Let n be z(-6). Let t = 216 + -216.022. Let l = 0.122 + t. Which is the closest to l? (a) n (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/645568 and 139\/528.\nAnswer: 1936704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16\/57 - 13\/114. Put -9, -5, c, -1 in increasing order.\nAnswer: -9, -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1801, -3112, -5275, -8272, -12085, -16696, -22087, -28240?\n\"Answer: 3*r**3 - 444*r**2 - 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 - 167 = -17*f. What are the prime factors of (f\/(-8))\/(9\/(-2292))?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12415, 12442, 12473, 12508?\n\"Answer: 2*b**2 + 21*b + 12392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 9 = 5*a - 3*c, -4*a + 2*c + 20 = 0. Let v = a - 2. What is the second derivative of 4*h**4 + 0*h - v*h**4 + 2*h wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.26 + -0.57. Let g = -0.35 - h. Let s = 0.1 + 0.1. Which is the smallest value? (a) s (b) 0 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19208912 and 1428.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*n + 914 - 2486 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from {n: 1, q: 7, e: 2}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3498 (base 13) to base 4\nAnswer: 1303200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3\/2 (b) -0.3 (c) -36\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 7*w - 4*w = 225 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/22117095 and 74\/2079.\nAnswer: 66351285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 5\/(-4)*(37 + -57)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.81 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -2*i + 215 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-86)\/(-14) + -5)*161\/598.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yeyyysssmyss. Give prob of picking 1 m and 1 y.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -1, 2, -17 in ascending order.\nAnswer: -17, -9, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -b - 2*b + 5, 5*k + 5 = 0. Sort 4, 2, b in decreasing order.\nAnswer: 4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f + 10 - 16 - 21 + 27.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 39. Let s(u) = -11*u + 149. Let y be s(d). Suppose -2*x = -21 - 13. What is the greatest common factor of y and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 357011339 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.2, 188\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (25 + (-28 - 4) + 9 + (-10 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -10000000001?\nAnswer: -10000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1881\/2 + -898. What is the common denominator of 3 - (45 + 2)*-1 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2660 and 209?\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0179981997 rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638325, -637779, -637233, -636687, -636141?\nAnswer: -635595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/2 + -1)\/((-2)\/(-4)). Solve 5*z - 10 = 0, 2*k - z = -q*k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 1:26 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 5 + 2*o**2 - 2 - 5. Let k be 212\/(-44) + 5 - (-42)\/11. What is the units digit of g(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/80 - 269*w**4\/32 - 825*w**3\/4 - 3*w**2 + 178*w + 2. Factor b(n).\nAnswer: 3*(n - 275)*(n + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/2)\/(2\/32). Let t be (i\/10)\/((-6)\/30). Suppose -2*m - 4*w = -m - 19, -t*w = -4*m + 36. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 2248229?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 2 + 2 + (-w + 5*w - 3*w)*(w**2 - 9*w**2 + 6*w**2) - 1 + 1 - 3*w**3.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 6*v - 12*v. Let u be (2\/4*6)\/3. Let r(q) = -11*q**2 - 55*q + 55. Let i(a) = -a + 1. Let x(o) = u*r(o) - 55*i(o). Give m(x(j)).\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -48. Let r(o) = -3*o**2 - 6*o + 17. Let m be r(3). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/24 - t**3\/6 + 4*t**2. Let k(o) = -9 + 122*o - 112*o + 0. Calculate -2*k(m) + 18*y(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*y - 152*y + 15 = 0. Let l be (-1)\/((-6)\/4)*y. Solve -l*i = 10, 3*s = s + 2*i + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0 + 8 = 0. Suppose v - i - 18 = 0. Suppose v*l - 31 = 19*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971228 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 - -157192.365457.\nAnswer: 157491.365457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + 258 + -151 + (-1 + 1 - -31).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 374829850 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 - -1.64. Let m = 1.7 - l. What is the third smallest value in m, -6, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let r = 1.9 + x. Let l = -9257 + 9256.8. Which is the closest to l? (a) 1 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*b**2*p*y + 56*b**2*p + b**2*y - 51*b*y - b wrt y.\nAnswer: 16*b**2*p + b**2 - 51*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 16*t**2 + 64*t + 36. What is i(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/108621 and 163\/49950.\nAnswer: 200948850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/162 in 72.7, 5, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248763851?\nAnswer: 7, 41, 379, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/15 + o**4\/24 + 4*o**3\/3 + 206*o**2. Let f(r) = -9*r**2 - 2*r - 17. Calculate -6*f(p) - 13*w(p).\nAnswer: 2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.376 minus 1?\nAnswer: -11.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3306612737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/11 - -21\/22. Let d be (-2)\/(-8)*(-43 + 48). Factor -r*z - d*z**2 + 0 + 7\/4*z**3.\nAnswer: z*(z - 1)*(7*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50354 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*m + 12 = -4, 0 = 3*b + 2*m - 8. Let g be 3598\/1028 + 2\/(-4). Solve q - 14 = -q - 4*h, -g*h + 12 = b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71443?\nAnswer: 71443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-2688)\/80) - 2\/(-12) - (-113)\/(-24)\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-912)\/(-152)*((-16)\/108)\/(4\/(-6))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 307, 615, 923, 1231, 1539, 1847?\n\"Answer: 308*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 17 + 281. Differentiate 4 + x*i**4 - 32*i**4 - 35 wrt i.\nAnswer: 468*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4084.4 + 4083. Put -0.1, t, 5, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:37 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 21126*t - 28902*t - 17919*t as p + g*t and give g.\nAnswer: -25695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 3, i: 2, h: 1, o: 6}. What is prob of picking 2 i, 1 o, and 1 h?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24\/5 - 36\/5*p - 234\/5*p**2 + 63*p**4 + 141\/5*p**3 = 0.\nAnswer: -1, -2\/5, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/480 - 6\/(-9). What is the closest to 0.1 in i, -0.4, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5 - 24797*z**3 - 3.\nAnswer: -24797*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 4. Let z be w(-3). Let c = -113 - -115. Sort c, z, 5 in decreasing order.\nAnswer: 5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/14, -6\/65.\nAnswer: -6\/65, 1\/14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g - 42 - g - 4*g - 3 to the form r*g + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8224 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - -3)) + -10 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2457\/84)\/13*-4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 15894 = d - 15916, 2*d = 5*o + 46 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 217, 656, 1469, 2770, 4673, 7292?\n\"Answer: 19*u**3 + 16*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132564 is divided by 44058?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 2213526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/(-105)*1*-86. Let c = 2017 + -10158\/5. Let t = i + c. Sort 1\/9, t, 5\/6 in decreasing order.\nAnswer: 5\/6, t, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-21) - 20\/210?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, t: 1, s: 8, d: 2}. What is prob of sequence dtd?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43228192 + 19*b**2 + 2*b**3 + 245*b - 43228192 + (b**3 - 3*b**3 + b**3)*(0 + 0 - 1).\nAnswer: 3*b**3 + 19*b**2 + 245*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 587181, 586730, 586279, 585828, 585377?\n\"Answer: -451*w + 587632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 136 - 210 = -5*r, 5*r - 355 = -5*v. Calculate the remainder when r is divided by (-2)\/(-8) + 12445\/380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 5*j + 2*j + (-6 + 6 + 11*j)*(6 - 5 + 14) to m*j + v and give m.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683248 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -105*h**3 - 3350*h**2 - 26140*h + 2520 = 0. What is h?\nAnswer: -18, -14, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**4 + 1048*i**3 + 78628*i**2 + 1245120*i - 1324800 = 0.\nAnswer: -120, -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) 10.3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 325*n - 1487*n + 2199*n**2 - 2200*n**2 as r + q*n**2 + x*n and give x.\nAnswer: -1162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/4))**(-1\/24)\/(z**7\/z*z**11) assuming z is positive.\nAnswer: z**(-543\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let k be w\/(-6)*(-3)\/(-2). Let v be ((-8)\/(-30))\/(32\/(-80)). Is v greater than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14770 and 22366.\nAnswer: 782810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 624947, 624950, 624961, 624986, 625031, 625102, 625205, 625346?\nAnswer: 625531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 304 + 9*t - 606 + 300 + 57*t.\nAnswer: 66*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (7 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rvrmm. What is prob of picking 1 m, 2 r, and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79824875?\nAnswer: 5, 13, 49123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 20*y**2 + 2*y + 1. Suppose 0 = -0*k - 2*k. Suppose k = 2*a - 2 + 6. Is j(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + q - 1. Let d(n) = -7*n**2 + 6*n - 2. Let j(w) = -2*w - 14. Suppose 14*h = -99 - 27. Let o be j(h). Let f be (6\/o)\/(1\/4). Give f*v(r) - d(r).\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26732102 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117414769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1691 - 0.4011. What is q rounded to three decimal places?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 27. Let d(t) = 23 - t**3 + 29 + 7*t**2 + t - 60. Calculate the remainder when d(i) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26359 and 136699?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 33. Let r be 6*(12\/9 + h). Find the third derivative of -21*v**6 + 5*v**6 - 8*v**2 - r*v**2 wrt v.\nAnswer: -1920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {o: 1, b: 1, s: 1, i: 2, f: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157.6 + -133. Let u = n - 20.6. Put 2, 5, -5, u in increasing order.\nAnswer: -5, 2, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -658*s*z**4 + 3*s*z**3 - 162*s*z - 10*z**4 - 5*z**3 + 18833*z**2 wrt z?\nAnswer: -15792*s*z + 18*s - 240*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 94*f + 13*f**3 - 94*f.\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(6\/(-1404)*-9)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.121 + -0.021. What is the smallest value in u, -4, 0.3, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206 and 92.8236.\nAnswer: 19121.6616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*92\/(-483))\/(2\/(-49))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(4 + sqrt(17))*-1.\nAnswer: -4*sqrt(17) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 40707*g - 610599. Give n(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3411 is divided by 584.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.3. Let u be 0 - (11\/(-3) + 4). Let p = 22 - 19. What is the closest to 0.2 in y, p, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {o: 3, q: 2, c: 3, e: 1, g: 1, n: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2)*(2*p - 1 + 1) + (0 - 2 - 1)*(-3*p + 5*p - p)*(-1 + 6 - 3)*(3 + 2 - 1) + 26*p - 11*p - 14*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -179\/1006572 and 47\/359490?\nAnswer: 5032860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**5\/20 + 7*d**4\/12 + d**3 - 5*d**2\/2 + 12*d. Calculate l(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from cffffcfffffff.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63138 and 34782?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/110)\/((-35931)\/(-56463))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 971691076848.16 + -971691525715.21689931. Let q = 448887.0569 + v. Let c = q - 20. What is c rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 + d + 4. What is x(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71235 or -2350730\/33?\nAnswer: -2350730\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 351370\/491, -2 in decreasing order.\nAnswer: 351370\/491, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d**3 + 9*d**2 - 7*d + 2. Let x(l) = -l**3 + l**2 - l - 1. Let q be 6 + 7\/(28\/(-20)). Let t(o) = q*v(o) - 5*x(o). Let n = 0 + -5. What is t(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1485 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:20 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**4 + 3*v**4 + 7*v**2 - v**4 + 0*v**4 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 10 = 2*s, -s + 4*p + 19 = 7*p. Let n be 1\/(-1 + 162\/159). Suppose -s = -4*f + n. Solve -2*r - f = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-848)\/20)\/53)\/(32\/(-5680))?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067045606 rounded to seven dps?\nAnswer: -0.0006705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 23, 16, 9, 2, -5, -12?\n\"Answer: -7*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 49772 not equal to 49644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159764699 is divided by 3072398.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 117, 356, 739, 1296, 2057, 3052?\nAnswer: 4311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-3\/5)*q)\/q*q*q**(-6)*((q*q\/(((q\/(q\/((q**(-1)*q)\/q*q)))\/q)\/q))\/q*q)**(-7\/4) assuming q is positive.\nAnswer: q**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.96768 minutes to hours.\nAnswer: 4.266128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 57, 4, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163 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: Solve 1573 - 2587 = -39*c for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -277, -258, -239, -220, -201?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxaxakkhxckkhk. Give prob of picking 1 k and 1 x.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.18 + -28.18. Let d = -28.0022 - l. Round d to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 105*m**2\/2 - 6*m - 19. Let l be n(1). Calculate the greatest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 355 - 23391*w + 46777*w - 23388*w - 4*w**2 + (0*w**2 + 0*w**2 - w**2)*(-1 + 0 + 0) to the form h*w + c*w**2 + k and give k.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -383*a - 2272. What is the remainder when 314 is divided by v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -22*a - 3. Let k(n) = -11*n - 1. Let l(q) = -5*k(q) + 2*x(q). Let j be l(1). Let y be j\/(-2)*(2 - 3). Solve y*h - 14 + 39 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 91?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxhhvhhvhxhxxhvh. What is prob of picking 1 v and 3 h?\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72 - -68)*1\/4. Let y be ((-2)\/6)\/((-2)\/(-3)). Sort q, y, 2\/9 in increasing order.\nAnswer: q, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n - 7568. Let o be (-9)\/15 - n\/20. Suppose -5*a = 3*f - o + 9, -32 = -f + 2*a. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 9*n**2 + 19*n**3 - 11*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/2*z**2 - 1\/6*z**4 - 23\/6*z + 2 + 1\/2*z**3 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/36 - 65*z**4\/18 + 250*z**3\/9 + 69*z**2 + 7. Find w, given that s(w) = 0.\nAnswer: 2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enbjs. Give prob of sequence eb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.49 + -4.49. Put x, -1\/3, -0.5, -0.3 in descending order.\nAnswer: -0.3, -1\/3, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l - 3. Let c(q) = q - 1. Let x(t) = 3*c(t) - y(t). What is x(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/15 - (180\/27 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*d - 11*d. List the prime factors of 2*d\/(70\/(-185)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.91, 5, -3.9, -4, -1.19 in decreasing order.\nAnswer: 13.91, 5, -1.19, -3.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*c + 24 = 0, -2*z - 12 = -z - 4*c. Let j(i) be the third derivative of i**5\/60 - i**4\/6 - i**3\/2 - 4*i**2. What is j(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64590 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1482 + -1300. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 414952944, 414952946, 414952948, 414952950?\nAnswer: 414952952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(90)*-2*6)\/(sqrt(140)\/sqrt(7) - sqrt(5) - -2*sqrt(80)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -1bc6?\nAnswer: 1bd0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104507182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 9760, -4 in decreasing order.\nAnswer: 9760, -4, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11095*m. Let f(u) be the second derivative of u**3\/3 - 468*u. Give f(z(t)).\nAnswer: 22190*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53\/20 - 9\/4. Let f be (-16)\/(-88) - 2*(-7798)\/(-352). Let i = f - -44. Which is the nearest to 0.1? (a) y (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f + 0*f)*(f - 3*f + 0*f) + 2*f**2 + 0*f**2 + 0*f**2 + 6*f**2 + 17 - 17.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 7 - 22. Let w be (-28 + -2)\/(c\/10). Let o(j) = -j**2 - 21*j + 11. What is the units digit of o(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 4*x + 1 - 1.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8460 and 2961?\nAnswer: 59220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -173 - -167. Put -2, -1, u in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-3 + 18)\/(-30780)). Calculate the highest common divisor of 144 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15740 * 80.\nAnswer: -1259200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:26 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-28) - (-66)\/14. Suppose 4*k + 4 + 35 = -5*c, i*k + 56 = c. Let j(n) = -6*n - 9. What are the prime factors of j(k)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + n - 5, 4*n + 10 = -2*h + 30 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*s - 9, -2*s + s = -3*v + 4. Put -5, 4, s in ascending order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from {c: 4, e: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9175 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 37\nAnswer: -12\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*q - 49*q - 2*a - 10 = -0, 5*a + 10 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 5. Let x be m(-7). Let g(l) = l**2 + 10*l + 5. Let z be g(x). Is (452\/(-10))\/(z\/20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4670875\/12 not equal to 389241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -3*n - f - 32, 4*n = 4*f - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/5 + 13*l**4\/12 + 2*l**3\/3 + l**2 - 11*l. Find k such that j(k) = 0.\nAnswer: -2, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*l = 5162 - 1222 + 13880 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 168*i + 60. Give g(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*a + 0 - 20 = 0, -3*z - 2*a + 32 = 0. What is the least common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -74*v**2 + 2*v. Let f(a) be the first derivative of -3*a**2\/2 - 15. What is z(f(q))?\nAnswer: -666*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 2\/383, 11, -5, 4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2\/17 + 45776164*q\/17 + 261932148819362\/17 = 0.\nAnswer: -11444041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431037.\nAnswer: 3, 47, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + k = -0*r - 117, 0 = 4*k + 8. Solve 5*u + 22 = 5*m - r, 2*m + 5*u = -10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/57)\/(44\/209))\/((-77)\/(-24))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 8:48 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/(v*v**(-1)))\/v)\/v)\/(v*v\/v**(-3\/4)))\/((v**(1\/10)*v)\/v**(-1\/4)) assuming v is positive.\nAnswer: v**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -226, -455, -684, -913, -1142?\n\"Answer: -229*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + x = 2, 5*d - 5*x + 22 = 4*d. Solve -5*p + 19 = -5*h - 6, 0 = p + 3*h + d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**2*u**4 - 11*t**2*u**2 - 66*t**2*u - t**2 - 44474780*t*u**4 - 40*t*u**2 - 4*t + 2 wrt u.\nAnswer: 24*t**2*u - 1067394720*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71\/162 - -1583\/162. Factor 1\/3*g**2 + l*g + 196\/3.\nAnswer: (g + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 330 = -2\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*c - 328860 - 814154, -5*c = 3*r - 857217. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + h - 2*h**2 + (0*h + 0*h - 3*h)*(2*h - 2*h + 3*h) - 6*h**2 - 5*h**2 + h**2 to p*h**2 + d*h + r and give p.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/54 and 133\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4.6411*4\nAnswer: -18.5644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 100\/20 - (9 + -1). Let k(n) = 2*n**2 + 26*n - 32. Let i(o) = o**2 + 27*o - 34. Let j(r) = u*k(r) + 2*i(r). Solve j(a) = 0 for a.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/24 and -31\/49616.\nAnswer: 148848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24432 divided by 160.\nAnswer: -1527\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 6*q - 3*q + (-6 + 1 - 3)*(-15*q + 9*q - 4*q) + 2 + 4*q - 3*q - 4*q + (-2*q - 2*q + 2*q)*(-1 - 2 + 1).\nAnswer: 83*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1286 + 1979. Calculate the lowest common multiple of 198 and i.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 8 = 2*a. What is the first derivative of 8 + a - 4 - 8*w - w wrt w?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 273, 699, 1295, 2061, 2997, 4103?\nAnswer: 5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -4, 5, -2020 in ascending order.\nAnswer: -2020, -19, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (20\/32)\/((-48)\/(-1152))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -4, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + x + 14 = 0, -5*x = 7*q - 12*q + 30 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4614*i + 139440 = -2273*i + 2307*i for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -1 (b) 292.5 (c) 4 (d) 1 (e) 1341 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p - 55*y = -98*p + 165, 4*p + 4*y = -36 + 24 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/764 and -101\/8.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/43 in -4, 1\/7, 5, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-13)*195\/60)\/(1\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 837 and 1.1169262.\nAnswer: 838.1169262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 106160356?\nAnswer: 106160351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q + 2*y - 15, 4*y = 5*q - 45. Suppose -5*t = 3*w - 9, -2*t = -q*w - 13 - 3. Let f(o) = -2*o. Determine f(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 855 - 873.88. Let a = v + 18. Round a to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*d + i, -3*i - 5 = 2*i. Suppose 0 = -6*a + d - 15. Sort 5, 1, -4, a in ascending order.\nAnswer: -4, a, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(-3 + (sqrt(612) - (sqrt(612) + -3 + sqrt(612))))*-6*-3)**2.\nAnswer: 2160*sqrt(17) + 793177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -15 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-1*-4)\/(2*sqrt(144) - sqrt(144)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = -45*o - 86 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 50*a + 1125. Let z be v(-22). Solve 0 = 3*o - y - 7, -3*o + 24*y = z*y - 17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -9*d**2 - 10*d + 31. Let v be m(9). Is 27 a factor of (2 - 3)*0 - (v + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 33. Let i be ((-2)\/4)\/(1\/56). Let p be q(i). Let g = p + 53. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = -315. Suppose 16*v - f = 9*v. Solve o + 1 - v = 4*r, -2*o = 2*r + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.66? (a) 3 (b) 0.7 (c) 4 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10812762*p + 36026382.\nAnswer: -10812762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t - 6. Suppose 4*b - 2*v - 12 = 6, 3*b = -v + 11. Suppose b*p = 22 + 6. Let s be i(p). Do s and -2\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4561 - -4574. Solve 2*t - 5*k = -m, -2*k - 34 = -t - 39 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(153)*2 + sqrt(153))*-5 + (0 + sqrt(2057) + -4 - (-2*(sqrt(2057) + -2*sqrt(2057)))**2).\nAnswer: -8233 - 34*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 2. Let x be j(2). Let k(d) = d**3 - 15*d**2 - 15*d - 8. Let v be k(16). Let m = v + x. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2368 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -31. Solve 0 = u*y - s + 4, -8 = 3*s + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114 a factor of 11386600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-56))\/((-31)\/1860*-15).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, f: 7, b: 1, w: 5, i: 1, s: 2}. What is prob of sequence ih?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76808592 divided by 29817.\nAnswer: -2576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1699, -11, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1074 (base 8) to base 15.\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(2 + (sqrt(700) + -1*((sqrt(700) - (sqrt(700)*-1 + sqrt(700))) + sqrt(700)))*4)*-1)**2.\nAnswer: -1280*sqrt(7) + 44864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = 0, -2*u + 2 = l - 2*l. Suppose o + 38 = 4*h, 6*o + 14 = u*h + 3*o. Find the common denominator of (2\/h)\/(2\/(-1605)*-9) and -53\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1954560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8.7 (b) -3 (c) 2.4409 (d) -2 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3520 - -7490. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/10*(4\/4 - -59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/854 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + (2324\/1660 + (-706)\/40 - -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14431 is divided by 1566?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-45) - 12\/(-2960)*-1651. Let i = 135093\/21016 + p. Calculate the common denominator of i and 63\/4.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.8 and -0.7155?\nAnswer: -6.2964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1529, 6132, 13825, 24626, 38553, 55624, 75857?\nAnswer: 99270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-246)\/50 + (-30)\/375.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 17 + 7 + -18.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.07.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 655200887.94245 from -0.5.\nAnswer: -655200888.44245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067291995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2377 + -0.21495.\nAnswer: 2376.78505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, x: 2}. Give prob of picking 3 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 49*o - 29. Let v be k(22). Suppose v = -9*i - 418. Let y = -77 - i. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88*m*w**3 - 2*m*w**2 - 219*w**3 wrt m.\nAnswer: -88*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -21. Let y be (z\/2)\/((-3)\/(-18)). Solve -5*u + 0*u = 3*a - 10, -u - 2*a + y = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 32. Factor -16*l + 24*l**2 + 4 + 0*l + 604*l**z - 600*l**4 - 16*l**3.\nAnswer: 4*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 1114264863?\nAnswer: -1114264867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**4\/10 + 10*o**3\/3 + 62*o**2\/5 - 176*o\/5 + 1282. Suppose f(d) = 0. What is d?\nAnswer: -22, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 = -194. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9450 + -13867. Is t <= -4417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*q - q - 16, 4*m - 3*q = -3. Suppose m*u - 132 = -2*i, 2*i - u - 8 = 116. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*b - 932*b = -20. Let l(s) = -7*s**3 + 6*s**2 + 7*s - 3. Let p(x) = 3*x**3 - 3*x**2 - 3*x + 1. Let m(j) = -2*l(j) - 5*p(j). Determine m(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(192) - (2*sqrt(484))\/sqrt(11)) + (1*sqrt(66)*-3)\/(1*sqrt(384)).\nAnswer: -31*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + 4)\/(2\/5). Let r(o) be the third derivative of -1\/54*o**4 + 1\/54*o**c - 1\/180*o**6 + 0 + 0*o**3 + o**2 + 0*o. Let r(p) = 0. What is p?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/(1\/((5\/2)\/((-1005)\/(-804)))))\/(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 10*h - 9. Let o be q(-6). Let n be (9\/2)\/(o\/20). Let k(x) = 10*x**2 - 4*x + 1. Is k(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153)*3.\nAnswer: 3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -28515816.\nAnswer: -28515816.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -21. Suppose b*t + 15 = 0, -2*c - 513 = -6*c - t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/10371?\nAnswer: -1\/10371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*6\/(-9))\/2. Let o be 1*(-3)\/3*1. Let b be o\/3 + 2\/(-3). What is the nearest to j in 0.1, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2898 and 1134?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6025, -24191, -54511, -97021, -151757, -218755, -298051, -389681?\n\"Answer: -6*f**3 - 6041*f**2 - f + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 192*o - 190*o - 17, -5*o = 12*t + 123 + 23 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + (26 + 27 - 17 - 7).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 4*z + 385 - 395, 0 = 3*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -25. Let l = 48 - f. Suppose -j = 4*q - 47, -l = -3*q + 2*j + 21. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1126 + 5633\/5. Let l(t) be the first derivative of -1\/2*t**6 + 0*t**4 + 0*t + 0*t**3 + 0*t**2 + a*t**5 - 3. Let l(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 21*n + 3*t - 25, 5*n - 23 = -t. Solve -5*l - 5 = -n*w + 9, -l + 4*w = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -23) + -40 - -51.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 22 = 4*t + 5*o, -3*t = 4*o - 20. Suppose 4*q = 2*q + t. Suppose q*d = 5*d + 4*z - 309, 0 = 4*d - 5*z - 412. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyvkhvhyhyyv. Give prob of picking 2 y and 2 h.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -6. Let i be (-5 - k) + (0 - 2). Suppose 2*l + 2*l + 8 = 4*r, 2*l + 1 = -r. Sort 0, r, i.\nAnswer: 0, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + -3 + 15 + 7 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*s = -7, 2*s - 12 = 2*b + 4*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*j - 8, 7*j - 3*n = 2*j + 7. Suppose 0*f + j*f - 4 = 0. What is the common denominator of (1 - 2)\/f + 35 and -93\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224526 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/9)\/u)\/u)**11\/((u\/(u*u**(-11)))\/((u\/u**5)\/u)) assuming u is positive.\nAnswer: u**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.8109 and 0.2.\nAnswer: -6.16218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 13 + 8)\/(1 - 0). Solve 5*c - 3*v - 13 = 0, 2*v + u - 38 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1348*u**2*v**2 + 2*u**2*v - 559*u**2 - 85*u*v**2 + 1404*u + 5*v**3 wrt v?\nAnswer: -2696*u**2 - 170*u + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*z = -61, 2*z + 114 = -5*h + 3*h. Let j = 109 + h. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 6*u**2 - 7*u + 7. Suppose d + 41 = 4*d - 4*q, 4*q = -20. What is f(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*k + 48564 = 4*b, -4*b + 4*k + 97112 = 0. Suppose -5*p = 8459 - b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 37) + 13 - (-3 + 90) - (-12 - 2)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -978 - -977. Put -0.079, q, 4, 5, 3 in increasing order.\nAnswer: q, -0.079, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1364613 years?\nAnswer: 0.001364613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2. Let x be t(-1). Suppose -26 = -x*n + 3*n - g, -2*g + 10 = 0. Let j = n - 15. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)*t)\/(t\/t**(-1))*t**(2\/11)*t\/(t\/(t*(t**(-1)\/t*t)\/t))*t**4*t*t**(2\/5)*t**5*t*t*t**(-3\/2) assuming t is positive.\nAnswer: t**(472\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/25*5*-1. Let m(b) = -b**2 + 10*b - 2. Calculate the remainder when 86 is divided by m(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3844295 by -768859.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a + 42 = 25*a. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 12*q + 20. Let h be k(-6). Are 55 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -101699*x + 711883. What is h(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**4\/12 - s**3 - 2*s**2 + 4*s. Determine g(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5\/2))\/h)\/(h**(-1)*h)*(h**(3\/4))**(-4\/5) assuming h is positive.\nAnswer: h**(19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i - 644*s + 639*s + 427 = 0, -4*i - 5*s - 83 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 89, 128, 183, 254, 341?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z = -42*z - 273 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*l = -189, n - 102 = 4*l - 8*l. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-1 - (-2 - -4). Let b(q) = 3*q**3 + 7*q**2 - 9. Let h(y) = 4*y**3 + 10*y**2 - 12. Let l(x) = -5*b(x) + 4*h(x). What is l(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38901.\nAnswer: 3, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 27 = -45 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, a: 1}. What is prob of picking 1 a and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131710 is divided by 326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 296\nAnswer: -1\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 648840?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 10*a + 3. Let h be x(10). Suppose h*v - 48 = -v. Suppose 6*l - l = 3*d + 15, -4*l = -2*d - v. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*g - 24, -12*g - 14 + 102 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48263, -96850, -145437?\n\"Answer: -48587*w + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -248478 divided by 3\nAnswer: -82826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - v + 4*v + (3*v + v - 3*v)*(-3 + 2 + 2) - 5*v + v - 1 + 3*v + (-2*v + 3 - 3)*(1 + 1 + 0) + 6*v - 10 + 10 to the form g + s*v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 104027, 208046, 312065?\n\"Answer: 104019*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 3. Let m be q(4). Let a(x) be the second derivative of x**4\/12 - 5*x**3\/6 + 5*x**2\/2 - 5*x. Determine a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/2*60\/135. Solve d*p - 2\/3 + 2\/3*p**2 - 2\/3*p**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 28*w**2 + w - 14. Determine z(28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*l**6 + 37 - 26*l**2 - 37 wrt l.\nAnswer: 15000*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34195473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4221182, -8442738, -12664296, -16885856, -21107418, -25328982, -29550548?\n\"Answer: -z**2 - 4221553*z + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*r = 66, -2*n = 3*r - 7 - 23. Suppose -517 = -n*t + 323. Calculate the least common multiple of 14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49267953 is divided by 18363?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 7*r + 3. What is the remainder when v(11) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.185384ug in kilograms?\nAnswer: 0.000000005185384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 22*i - 31. Let j be o(-10). Is -11 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -570.3 and 39.7?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/404320 and -111\/6328?\nAnswer: 45688160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*h + 61 = -139*h - 2942 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 15\/16 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6130834715 to the nearest integer?\nAnswer: 78300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-6) + (-15 - -13 - (-1 - 4)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104128972 rounded to the nearest 1000000?\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/((-5)\/(-40)). Suppose -m - r - 17 = 5*h, -2*m = 3*h + 15. Is (2 - m\/2)*7 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 7. Suppose 4*m = 3*m. Suppose -2*q + m*h + 2 = -5*h, -16 = -4*q + 4*h. Is x(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w**(2\/7))**(-46)\/((w**6\/w)\/w**(-2\/7))**(-6) assuming w is positive.\nAnswer: w**(1418\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0315 - 427.9685. Let k = -433 - l. What is the closest to 2\/3 in k, 0.05, -19?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-6)\/(-54) - 44\/(-3). Solve -s*h + 9*h + 12 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6506787 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62043120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((2\/1)\/((-1614)\/(-2421))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - g + 0*g + (0*g + g + 3*g)*(-37 + 11 - 3) + 6*g - g + 9*g.\nAnswer: -100*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 357.1 - 357.1. Sort 2, v, 2\/35 in descending order.\nAnswer: 2, 2\/35, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38253, -81571, -124905, -168261, -211645?\nAnswer: -255063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 6. Let s be z(6). Let g(u) be the first derivative of u**3\/3 - u**2\/2 - 8*u - 73. What is g(s)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21164, -21402, -21796, -22346, -23052?\nAnswer: -23914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*f - 87*f - 287*f as s*f + j and give s.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 2)*19\/(-152).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131341\/13 + -10103. Which is the nearest to 0.1? (a) f (b) -0.04 (c) 2\/5 (d) 0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-31 + (-2781)\/(-108)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2)*(-20)\/8. Let b be 15\/(-6) - (-1)\/2. What is the units digit of (-1 - b)*2 - f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.4 - -21. Let j = 29 + -29. What is the smallest value in 3, j, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((1 + sqrt(363))*3*1*5)**2 + -2 + 5.\nAnswer: 9900*sqrt(3) + 163807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1563 - 821.\nAnswer: -816.8437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 11*d + 26. Let g be v(-4). Sort 44, 0, g, -5 in descending order.\nAnswer: 44, 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 2*u**2 - 8*u - 4. Let a be o(4). Let q be a + 39\/12 - 0. Sort 1\/2, q, 0.4 in decreasing order.\nAnswer: 1\/2, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -12*p**3 - 7*p**2 - 11*p - 6. Give z(-3).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 - 419 = -15*w. Suppose -310 = -w*i + 30*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(18\/22))\/(8\/(-552)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366541830 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2412 = 3*f - 468. What is f rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(800) + 0)*-2 + -5*(sqrt(288) + (sqrt(288) - (sqrt(288) + sqrt(288) + 2*sqrt(288))) + 1))**2.\nAnswer: -480*sqrt(2) + 12809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 9*k - 14. Let q be a(-11). Let u = -16 - q. Calculate the lowest common multiple of u and 1\/6 - (-1190)\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 31*a**2 - 33*a - 1. Let u be j(32). Let s be u\/22*(1 - -1) - -1. Put s, -5, 14 in decreasing order.\nAnswer: 14, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -154, -569, -1360, -2653, -4574, -7249, -10804?\nAnswer: -15365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1761988.\nAnswer: 2, 440497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 423 + 270. Let h(q) = 264*q. Let m(o) = 17*o. Let p(a) = w*m(a) - 5*h(a). Let s(x) = -23*x. Determine -5*p(g) + 2*s(g).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3819*w - 24 = -13*r + 10*r + 3816*w, 0 = -5*r + 3*w + 56 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827487.\nAnswer: 3, 91943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 30040 = -43538. Let v = -257582\/21 - p. Let s = -22\/7 - v. What is the second smallest value in s, -0.3, -1, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7171605 tonnes?\nAnswer: 717.1605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 1. Let n(u) = -u. Let i = -134 - -135. Determine i*b(s) - 4*n(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7*v = 4*v - 26, 0 = -w - 3*v - 10. Let q be 20\/(-2)*(-2)\/4. Let p(a) = -a**3 + 5*a**2 + 1. Let d be p(5). Put w, d, q in increasing order.\nAnswer: w, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224093 (base 11) to base 10\nAnswer: -356810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61698 is divided by 611.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 193.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 56, 126, 224, 350, 504?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16747*x**3 - 4*x**2 + 355578*x.\nAnswer: -100482*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2390\/3 - -798. What is the closest to -2 in -0.5, 0, -4\/9, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/5)\/y)**(-1\/12)*y**(-3\/2)\/y*y\/(y**(-1\/7)*y)*(y**(-1\/5)*y**(-5)\/y)**(-23) assuming y is positive.\nAnswer: y**(14729\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 31*z**3 + 3*z**2 + 9*z - 9. Let c(k) = -44*k**3 - 5*k**2 - 13*k + 13. Let o(a) = 5*c(a) + 7*v(a). Calculate o(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -319, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-6\/7)\/g**(-14)*(g**(9\/8))**(4\/29) assuming g is positive.\nAnswer: g**(5399\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 2 + -1 + 0. Suppose 5*l - b*a - 74 = 22, 5*l = -2*a + 72. Solve -4*g = 4 + l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112918473 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1382018 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435998847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/30*(0 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/v**(-5)*v**(-5\/11) assuming v is positive.\nAnswer: v**(72\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 2*s - 10)*(3 + 2 - 3)*(1 + 2*s**3 + 9 - 9) in the form w + x*s**3 + m*s + o*s**2 + h*s**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*f - 44, -3*f - 2*c + 27 = -5*c. Suppose -4*m = -f*m + 12. Let h(u) = 2 - u + m*u - 4*u - 1. Calculate h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53272.5 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0798 * 84565.\nAnswer: 6748.287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/4 - 1\/(-4). Let y(a) = -a**3 + 6*a**2 + 13*a - 38. Let p be y(7). Let b = 745 + -725. Solve d*w + 2 = -2*g - 13, 2*g + p*w = -b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**10\/m*m)*m**(-3)\/m*m**(-4\/9)*m**(2\/7) assuming m is positive.\nAnswer: m**(-829\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -553*w**2 - 58558*w - 949940597 wrt w.\nAnswer: -1106*w - 58558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/35)\/q**(-2\/39))\/((q\/q**(-11\/5))\/(q**(-5\/6)*q)))**(-31) assuming q is positive.\nAnswer: q**(49507\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 419 - 260. Let s = v + -797\/5. Which is the biggest value? (a) -3 (b) s (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 525*z**2 - 551*z + 75714. What is t(262)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l + 135 + 119 = -226. Solve -m + 2*a = 11 - 19, 5*a + l = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 417502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -115 divided by -89\nAnswer: 115\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/846 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -15*n**2. Let w(r) = -190*r. Give q(w(d)).\nAnswer: -541500*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.126 * 0.2\nAnswer: -0.4252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 75 = 6*q + 3*c, 5*q - 75 = -5*c. Suppose -22*j - 330 = -24*j. Calculate the highest common divisor of q and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2 and -69\/532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5511496.\nAnswer: 2, 191, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/6)\/((-6)\/18). Let n = -5 - t. Let u(a) = a**2 - a - 1. Let k be u(n). Solve -3*q = k*v, 3*v + 0 = -5*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 62. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 39153291.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-55)\/330)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3) - 20\/(-15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1099.4971 - -78829.2.\nAnswer: 79928.6971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -751 (base 13) to base 11\nAnswer: -a36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.53?\nAnswer: 2.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f. Let r(y) = 19*y - 11. Let n(v) = -6*k(v) - r(v). Differentiate n(s) with respect to s.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 2*i - 30, 4*a + 3*i - 5 = 0. Suppose -7*d + 12 = -a*d. Is d\/4*114\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 922 or 923?\nAnswer: 922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1709*f - 86. Let d be p(4). Let a = -3581 - d. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -1526?\nAnswer: 15\/763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243621.\nAnswer: 3, 7, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73698664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -5. Suppose u*f - 51 = 19. What is the smallest common multiple of f and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 43*b = -450 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000002339526 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:08 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*t - 2 + ((2*t + 0*t - t)*(-3 - 4 + 6) + 2287 - 2287 - 11*t + 2*t + 0*t + 3*t)*(0 - 2 + 7) in the form j*t + n and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 561\/(-34))*-2*(37 - -1)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -125.15?\nAnswer: 125.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67357 by 112.\nAnswer: 67357\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -6)*(-2)\/6. Suppose 5*f + 5*g = -c*g + 120, -92 = -3*f + 2*g. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 112 = 13*p + 42 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -435081, -435115, -435151, -435189, -435229?\n\"Answer: -a**2 - 31*a - 435049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201474 and 6396.\nAnswer: 402948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0 - 6 + c)*(340*c**2 - 155*c**2 - 67*c**2 + (-c + 2*c + 0*c)*(-c + 5*c - 2*c) + 16 - 16 - 5*c**2).\nAnswer: 115*c**3 - 690*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20545766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/18*15*2\/(-220)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188284337, -188284335, -188284333, -188284331?\nAnswer: -188284329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/209, -3\/7, -36.4.\nAnswer: -36.4, -3\/7, 6\/209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*w + 21*w + 12*w)*(2 + 1 - 1)*(w - 3 + 3 - w + 5*w - 5*w + (-3 + 6 - 2)*(-w - 4 + 4)) to the form t + y*w**2 + u*w and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 12. Let o(c) = -c**2 - c - 13. Let n(s) = -6*a(s) - 5*o(s). Let f(q) = q**2 - 6*q + 8. Let d(g) = 2*f(g) + 3*n(g). Calculate d(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 91 = -0*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**4 + 60*q**3 + 108*q**2 - 412*q + 240 = 0. Calculate q.\nAnswer: -12, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 7:01 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 5:36 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3126.717l to millilitres.\nAnswer: 3126717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8*(-24)\/(24\/(-4)). Suppose -5*j + 5*k = -3515, -j - v*k = -2*k - 699. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4 - 58145*j**3 + 168430145*j**2 + 3559570125*j + 9161268750 = 0. What is j?\nAnswer: -18, -3, 5825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**5\/20 + 2*w**4\/3 + w**3\/6 + 11*w**2\/2 + 2*w. Let k be n(-8). Let i = 20 + k. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 9:09 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4, -j = -3*k - 3 + 7. Solve -2*q = z - 5, -5 = -j*z + 3*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4 = 0, -5*d + 8*x - 10*x + 23 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**2 + 5*t + 1. Let x be f(-1). Solve x*d + 12*b = 14*b - 11, -2*d - 5*b = 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522617, 1045229, 1567841?\nAnswer: 2090453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*g + 1914 + 12342. Does 36 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25245827, -50491616, -75737405, -100983194?\n\"Answer: -25245789*r - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.47209 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79018425 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 11*w**2 - w + 23. Let f be m(11). Suppose 0 = -15*b + f*b + 1170. List the prime factors of b.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.99989 + 21. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 326 in -2.6, 0.09, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006287732 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-2) - ((-350)\/15)\/(-7). Let c(d) be the first derivative of 3\/2*d**2 + a*d**3 + 2 + 0*d. Find the second derivative of c(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 709136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.86 - 5.86. What is the nearest to 0.2 in -11\/5, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 682 and 3069?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10688306.92999991 - -10688307. Let n = -0.7 + 0.63. Let s = n + h. What is s rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(3\/6)\/1. Suppose 5*i - 55 + 0 = b. What is i rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f. Let x(w) be the first derivative of w**2 + 10. Give x(a(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*t - 1)*(-t**2 + 2*t - 2*t) - 69*t + 18*t**3 + 69*t in the form r + s*t + o*t**2 + w*t**3 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10855 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*f + 6855 = -68*f + 34*f + 180*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1 + 1 - 3*f + f**2 - 3. Let n be w(5). Suppose -3*a + n*a = 44. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, x: 3, e: 15}. Give prob of picking 2 x and 2 w.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**4 + h**3 + h. Let k(p) = -6*p**4 + 9*p**2 + 6*p - 6. Let u be (-92)\/28 - 4\/(-14). Let y(b) = u*d(b) + k(b). Factor y(m).\nAnswer: -3*(m - 1)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 554 - 400. Let z = 706 - l. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3072 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15369 and 385071.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4712*j**2 - 13*j - 6227. Let d(x) = 4714*x**2 + 12*x + 6227. Let z(m) = 13*d(m) + 12*y(m). Differentiate z(w) with respect to w.\nAnswer: 9476*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)\/y)\/(y\/((y**(-19)\/y)\/y)) assuming y is positive.\nAnswer: y**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02159+-76041\nAnswer: -76041.02159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -934*f**4 + f**2 - 936*f**4 + 1867*f**4 - 58 + (f**3 + f**3 - 4*f**3)*(-2 + 2 - f).\nAnswer: -f**4 + f**2 - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 93 = 0. Let u = s - -34. Let j = -7 + 11. Solve -j*f = -3*m + u, 4*f + 0 = -4*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -0.2, -3, 24\/5, 1.4, -0.01, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601582872?\nAnswer: 2, 3, 11, 461, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 725005381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -68 + 91. Suppose 2*n = 2*g + 26, -4*g + 79 = 2*n + a. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c - 735. Let t(u) = -199*u. What is t(l(i))?\nAnswer: -199*i**2 - 199*i + 146265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = 6*t. Put t, -2, 4, 0 in descending order.\nAnswer: 4, 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/9)\/v)\/v**(-7) assuming v is positive.\nAnswer: v**(74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 12:00 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74.4 - 0.9\nAnswer: 73.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12+651561725911\nAnswer: 651561725923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 3 (b) -1\/5 (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192038 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246029 + 272645 + 87062 = 9670*z - 651364 for z.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 5651079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 23240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (216 - 8) + -7 + -1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/14472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 40776221203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 4. What is w rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let h(q) = -5*q - 4. Suppose -4*f + l - 6 = 0, -5*l + 10 = -0*l. What is f*h(v) + 6*j(v)?\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(153) + 0)**2 + sqrt(17))*5 - ((-2*sqrt(136))\/sqrt(8) + (sqrt(17) + -2*1*sqrt(17))**2)).\nAnswer: 7*sqrt(17) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1283229, 2566465, 3849701, 5132937, 6416173?\n\"Answer: 1283236*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/9)\/(2\/(-6)). Suppose 2*f - 160 = 4*z, -f - w*z = -0*z - 80. Let m = f - 53. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1444 + -231366?\nAnswer: -228822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*f**2 + 8*f - 1.\nAnswer: -(f - 1)*(7*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -416 (b) -1 (c) -0.226 (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-2 - 4) - -2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-473*150\/(-196725)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203080, 203079, 203078, 203077, 203076?\nAnswer: 203075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - n = -3*n - 316, n = 3*b + 328. Let r be b\/(-24) + 2\/(-1). What is the closest to 1\/5 in r, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -2*r - l, 4*r - l - 5 = 0. Let b be 5\/3 + (-3)\/(-9). Suppose b*a = 5*a - 4*h + 20, -r*a = 2*h - 10. Solve -28 = -5*v + 3*s - s, v + s = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l**3 + 2*l**2 - 4*l + 12. Let t be n(-5). Suppose 0 = 2*y + c + 2*c - 229, 5*c - t = -4*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16*(-13)\/832)\/(15\/(-10)). What is the biggest value in -90, d, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 29*m - 137 = 43. Solve 4*g + 24 = -4*l, g - 3*l + m - 24 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 5, b: 1, m: 3}. Give prob of sequence cbcm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (2 + (-47)\/9). Let h(q) = -q + 5. Let o be h(5). Let p = o - -1. Put 0.3, k, p in ascending order.\nAnswer: k, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371.86 - 0.03.\nAnswer: -371.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + n - 2. Let j be f(-3). Suppose j*a - 8 + 0 = 0. Suppose 5 = -c - 0*c + a*o, -4*o = c - 19. Solve -u - 20 = c*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 13*x - 7*x + 33, 0 = -3*f + 5*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z + 809 + 3382 = 0 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*a + 560*a + 463*a - 199*a = -80840 for a.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 192 = -120. Let u = -30 - y. Calculate the least common multiple of 8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1564734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/7 (c) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 23*q - 57. Let b(z) = -8*z + 19. What is -17*b(c) - 6*i(c)?\nAnswer: -2*c + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 508.\nAnswer: 5\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*i - 14 = 0, 5*i + 0 = -5*c + 10. Let m(a) = a**3 - 2*a**2 - 2*a - 1. Let x be m(3). What is the greatest common divisor of x and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 440*d - 496*d - 1 as o*d + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/28)\/((-58557)\/(-262)). Let c = d + 1045\/2086. Determine o, given that 3\/2*o**3 + o**2 - 6*o + 4 - c*o**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4122 + 4121.8. What is the nearest to 19 in 5, 1\/4, -5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1093 and 32?\nAnswer: -34976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 183204756 to the power of 1\/2, to the nearest integer?\nAnswer: 13535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/3 - 50*w**4\/3 - 314*w**3\/3 - 250*w**2 - 204*w = 0. Calculate w.\nAnswer: -17, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23126113 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -38. Suppose d - 4*t = -5*t + 8, 5*d - 3*t = 0. Suppose -r = -s + 3*c, -c - d*c = 2*s - 80. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 815*r**2 + 62053*r + 2198. Give n(-730).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008614*a - 1234856*a + 686158*a.\nAnswer: -1557312*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -170d7c1 + 6?\nAnswer: -170d7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16585, -16389, -16193, -15997, -15801, -15605?\n\"Answer: 196*h - 16781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -a7?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 22. Let d(z) be the first derivative of -z**4\/3 - z**3\/3 + 13*z**2\/2 - 33. Let p(q) be the second derivative of d(q). What is p(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -113. Let i be ((-1)\/(-2))\/((-3604)\/(-720) + -5). Calculate the highest common divisor of j and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of ((-7)\/21)\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - 79. What is the second biggest value in q, 0.2, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14683, -58710, -132089, -234820?\nAnswer: -366903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 1201446*x - 10812771 = 0.\nAnswer: 9, 400473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 0.9.\nAnswer: 27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 1 - 1. Let c(i) be the third derivative of 1\/12*i**4 + 0*i**5 - 1\/6*i**3 + 0 - 62*i**2 + 1\/60*i**6 + 0*i. Give c(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0.02, 32843?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 58 + 3*y**2 + 36.\nAnswer: 3*y**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + (-6)\/(-3) + 65. Suppose -t - 58 + w = 0. Solve t = -2*p - 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 488065*y**5 - y**4 - 6*y**3 - 9364300*y**2.\nAnswer: 29283900*y**2 - 24*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Let a(i) = -35*i**2 + 2. Give l(a(y)).\nAnswer: -3675*y**4 + 420*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 317933507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.9 - -13.3. Which is the third smallest value? (a) 0.2 (b) n (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44967, 93617, 142277, 190953, 239651, 288377, 337137?\nAnswer: 385937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 + 134. Suppose 0 = d - 12 - 0. Solve -k = -2*o + 5*p - 3*p, -3*o - 5*p + d = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22458.48m to nanometers.\nAnswer: 22458480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232*y - 1220*y = 434244. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**3 + 3*d**2 - d + 2. Let r be u(2). Let j be 9 + -5 + (-5 - -5). Let z be r\/(-5) + j\/(-5). Solve z = -5*m - 3*h - 18, 5*m = 3*h - 17 + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 15 = 6*x. Let h(j) = x*j + 8*j + 5*j - 16*j. Let b(q) = -3*q + 1. Determine b(h(k)).\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-20)\/13201) - 12\/48 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211000 (base 5) to base 16.\nAnswer: 1b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 811184 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avs when three letters picked without replacement from {h: 6, v: 5, a: 4, s: 4}.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2210475, 2210368, 2210261, 2210154, 2210047, 2209940?\n\"Answer: -107*l + 2210582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 (base 16) in base 2?\nAnswer: 1100101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x - 454. Calculate f(-35).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -84173264 times 0.4\nAnswer: -33669305.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 6:56 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 9402823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**2 - 142*h - 2. Let j be f(-22). Which is the third biggest value? (a) 0.1 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 21*c + 36.\nAnswer: 3*(c + 3)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.41 minus 103?\nAnswer: -97.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 10. Suppose -2*s + 160 = -2*d, -126 = -u*s - 5*d + 244. Let p = -47 + s. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*m)*(-2*m**2 + 0 + 0) + (-53 - 19*m + 53)*(-3*m**2 + 2*m**2 + 2*m**2).\nAnswer: -23*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2, 0, -1\/3, -0.07 in ascending order.\nAnswer: -1\/3, -0.07, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -3419900?\nAnswer: -10259700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 + 17190\/(-420))\/((-5)\/(-4)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -16*s + 6. Let j be a(7). Suppose 88*g - 96*g + 112 = 0. What is the remainder when 1\/((-2)\/j - 0) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -26) + -90 + 50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 9*o**2 + 20*o + 5. Give d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 37662*x. Let t(z) = z**2 + 15*z. Determine t(a(v)).\nAnswer: 1418426244*v**2 + 564930*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2569 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 50*o - 1. Let m(s) = 2478*s + 4. Determine m(a) + 3*p(a).\nAnswer: 2628*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 96361.281.\nAnswer: 289083.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50583 is divided by 2063?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11830\/(-3549))\/(2\/(-12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j + 4*j)*(3*j**3 - 4*j**3 - 2*j**3) - 4047*j + 4049*j - j**4 + 25*j**2 + 0*j**4.\nAnswer: -10*j**4 + 25*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.031, -0.3, 2\/135, 15, -2\/5 in descending order.\nAnswer: 15, 2\/135, -0.031, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336003?\nAnswer: 3, 47, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 7*n**2 + 14*n + 33. Calculate o(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1113 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*g**3 + 6*g**4 - g - 3*g**4 - 4*g**4 as d*g**3 + t*g + m*g**2 + q*g**4 + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442478?\nAnswer: 2, 3, 43, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by 130.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 181\/369 - 11\/41. Which is the second smallest value? (a) -1\/8 (b) 25.9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + (sqrt(245) - (sqrt(245)*1 + -4)) + sqrt(245) + -4 + 2)**2.\nAnswer: 42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(-7 + 7 - 7*f + (8 - 3 + 9)*(0*f + f - 2*f)).\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5\/a**2)\/(a*a**(-14)*a**27))**(2\/5) assuming a is positive.\nAnswer: a**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 159 = 3*d, d = -2*w + 26 - 84. Let a be (0 - d\/18)*(-3)\/(-4). What is the units digit of 7 + -9 + 80 + -1*a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 1161448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-7)\/((-105)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpl when three letters picked without replacement from lobololuluuplullll.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, 42, 4\/7, 2\/5, 0.2 in descending order.\nAnswer: 213, 42, 4\/7, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -20975*d - 564. Is q(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3224884, -0.4, 4 in decreasing order.\nAnswer: 4, -0.4, -3224884","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 + 6*j + 2. Let v(k) = -k**2 - k. Let x(s) = -s**2 - 2*s + 2. Let p be x(1). Give p*w(m) - 5*v(m).\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 95*r - 15. Let a(l) = -16*l + 1. Let j(u) = -6*a(u) - t(u). What is j(20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15635438.\nAnswer: 2, 7, 13, 85909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127.31 - -0.31. Let m = -135.1 - r. Let g = -8 - m. Which is bigger: g or -0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 255*n + 3 = 253*n, 0 = 3*a - 4*n + 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7*j**3 + 3*j**2 - 3*j - 5. Let k(x) be the second derivative of -4\/3*x**3 - 11*x - 7*x**2 + x**5 + 0 + 2\/3*x**4. Give -5*k(t) + 14*w(t).\nAnswer: -2*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -10273 and -10175 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f**2 - f + 4. Let p(m) = 32*m**2 + m - 8. Let s(r) = 7*k(r) + 4*p(r). Let t be s(-2). Let j = t + -65. Solve j = 5*n - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24412422 (base 5) to base 14.\nAnswer: -608c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 2:36 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*t + 69 + 38 = 0, -l + 19 = -2*t. Suppose -4*w = h - 0*h + 2, 3*h - 5*w = -l. Is (h\/(-10))\/(2\/170) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10966712 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-24))\/((-640)\/(-256))*(-54)\/(-4).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j, -14 = y + y - 3*j. Let m(d) = 0*d**2 + 2 - 4*d + d**2 + d**2. Let v(q) = -2*q**2 + 5*q - 2. Calculate y*m(l) - 6*v(l).\nAnswer: -2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140 divided by 3143020.\nAnswer: 7\/157151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2286 is divided by 2251.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let u = 41.98 + -4.98. Let v = -34 + u. Which is the closest to v? (a) 0.5 (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/7698 and -83\/3864?\nAnswer: 4957512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*t - 5*y, 0 = 2*t + 4*y - 83 + 77 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.182 - 9326157356.\nAnswer: -9326157355.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17734 - -17733. Which is the closest to y? (a) -2\/9 (b) -0.09 (c) -0.1 (d) -22.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/21)\/(x\/(x*x**(-1\/3)*x*x*x))*x**6\/x**(-1\/15) assuming x is positive.\nAnswer: x**(304\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 - 71594*v**2 + 143185*v**2 - 71591*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/36)\/5*-6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 4182.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12418, -6024, 11336, 45146, 100890, 184052?\n\"Answer: 914*o**3 - o**2 - o - 13330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*w**2 + 15*w**2 + 4 - 13*w**3 - 3*w**4 + 626*w - 626*w as j*w**2 + z*w**4 + s*w**3 + h*w + r and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from gdmeddgdm.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (421 - 421 + 63*h)*(h**2 + 2*h**4 - h**2) + (h - h**3 - h)*(h**2 - 4*h**2 + 4*h**2).\nAnswer: 125*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 63 + 154 = 0. Let s = n - 29. Suppose 0 = j - 2*a - 33, -j - s*a + 40 = 3*a. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**6\/180 + g**5\/90 + g**4\/9 - 4*g**3\/9 - 9*g**2\/2 - 8*g. Let h(d) be the first derivative of b(d). Factor h(s).\nAnswer: -2*(s - 2)*(s - 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89.3 + -89.280074. Let w = -0.02 + q. Round w to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - 4. Calculate o(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (46 - 1)\/((-29)\/(1160\/(-30))). Solve -j = 10*m + 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmlmmrmlcyrcmml. What is prob of picking 3 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24525970444814+-10\nAnswer: -24525970444824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 i when three letters picked without replacement from {s: 2, i: 1, k: 1, n: 1, r: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -20*b**2 - 233*b + 298. Give i(-13).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121112 (base 3) to base 2.\nAnswer: -10010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 77\/2 - 1775\/46. Let s(g) = g - 13. Let y be s(11). Let p be (y\/20)\/((-22)\/55)*4. Is p at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 2. Let t be q(4). What is the smallest common multiple of t\/33 + (-86)\/(-11) and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 68\/230245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/5)*j*j**(-8))\/(j**(-1)*j*j\/j**(-4\/7)*j))**(3\/4) assuming j is positive.\nAnswer: j**(-429\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Let t(j) be the second derivative of -11*j**4\/2 + 7*j. Let k(w) = -2*w. Give k(t(o)).\nAnswer: 132*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from llxxlxllll?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7763.524ng?\nAnswer: 0.000007763524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(9\/(-3180)*-5*52\/546*14)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**19)**(2\/5)\/((c*c**(-7))\/((c\/c**(-1))\/c))**(-32) assuming c is positive.\nAnswer: c**(-224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/((r*r**7)\/r*r)*r))\/r)\/r*r**(1\/5))\/(r**(1\/4)\/(r*r**6)))\/(r**(-2\/13)*r**(-7))**(-31) assuming r is positive.\nAnswer: r**(-54553\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -2*n**4 + 2*n**3\/3 - 3. What is the third derivative of m(k) wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -33*i - 378. Let g be n(-10). Let t be (g\/(-9))\/(70\/30 - 3). Let f(w) = w + 6. Calculate f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 23*r - 22. Let w be n(2). Solve 5*u - w = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 5:40 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r - 5. Let p be g(-1). Suppose 4 = 3*y - 14. Let w(t) = -t + 10. Let c be w(y). Solve c = p*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 13. Let r(p) = 3*p - 24. Let o(g) = -5*l(g) + 3*r(g). Calculate o(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g + 13*g - 3*g**3)*(132 + 4*g - 132) - 7*g**4 + 3*g - 3*g.\nAnswer: -19*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -22801*w**5\/4 - 4765711*w**4\/2 - 165598379*w**3 - 4385458*w**2 - 29040*w = 0.\nAnswer: -330, -88, -2\/151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3925147 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 6, x: 2}. What is prob of picking 1 b, 2 x, and 1 h?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a**4 + 6*a**2 + 0*a + 1\/180*a**6 + 5\/3*a**3 + 0 + 0*a**5. Let c(f) be the first derivative of o(f). Factor c(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(8)*5*-1 - ((sqrt(36) - sqrt(324)\/sqrt(9))\/sqrt(12) + 0)) + 4)**2.\nAnswer: -40*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) - (1 + sqrt(425) + -5 + sqrt(425))) + (-5 + sqrt(272) - sqrt(17)) + -2)*-3)**2.\nAnswer: 108*sqrt(17) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 4. Let w(l) = 3. Let u be 0 - (2 + -11*1). Let j = u + -13. Let g(k) = j*w(k) - 3*o(k). Let q(c) = c**2. Give q(g(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 0.38, 4 in decreasing order.\nAnswer: 4, 3, 0.38, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(2\/(-11) + 9\/(-11)). Let f be (-4)\/(j*16) + 23\/4. Let z(u) = 5*u. Let h(d) = 9*d + 1. Let n(g) = 6*h(g) - 11*z(g). Determine n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 2595.295.\nAnswer: 2590.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(132)*-6 - sqrt(132)) + sqrt(132) - sqrt(132) - sqrt(132) - (2*sqrt(132)*3 - sqrt(132)))\/(4*-6*sqrt(768)*-2).\nAnswer: -25*sqrt(11)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/10)\/v*v**(2\/9))\/(v**(2\/9))**18)**(-43\/4) assuming v is positive.\nAnswer: v**(15781\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 18*b - 32. Let x be v(-16). Suppose -19*n + 15*n + 16 = x. Let l = n + 116. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.988018 micrometers to meters.\nAnswer: 0.000008988018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 12*b**2 - b - 11. Let j be w(-12). Calculate the remainder when 93*(1\/1 + 0) is divided by (-1008)\/(-64) + j\/4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 6. Which is the biggest value? (a) h (b) 2\/5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 35*s + 255. Give f(32).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7*k + 7*k + 10*k - 17*k.\nAnswer: -7*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*j + 22, -2*j - 11 = y - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmddmmddddm. What is prob of picking 2 d and 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*y + 6 + 4, -4*y = -3*a + 22. Let h(r) = 2*r**2 + 5*r + 2. Let k(j) = j**2 + j. Let u(q) = -h(q) + k(q). Let l be u(y). Are l and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u = -2*j + 14, -4 = 4*j. Suppose 3*b = 2*q + 25, 5*b = -3*q - 0 + 10. Let f be q\/5 + 17 + u. What is the greatest common factor of f and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-356)\/1904)\/((-80)\/140) and 47\/476.\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062 and 14.9133.\nAnswer: 0.9246246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**7\/3780 + 7*g**6\/1080 + g**5\/10 + 19*g**4\/8 - 4*g**2 + 19*g. Let a(l) be the second derivative of m(l). Factor a(f).\nAnswer: -2*(f - 9)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*q**2*w**4 + 2*k*q**2*w**2 + 26608*k*q**2*w - 2*k*q**2 + k*q*w - 23*k*w**2 - 4*q**2 - 18149811*q*w**4 - 2*w**2 wrt w.\nAnswer: -24*k*q**2*w - 435595464*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -199342209 less than 89772?\nAnswer: 199431981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -914\/591821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(-1\/46))**(-17)\/(y**10*(y\/(y**(-4)\/y))\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(1499\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 3*p + 8. Let t be r(0). Let g be ((-16)\/(-10))\/((-1)\/(-5)). Solve -2*y - 5*n - 19 = t, 3*y + g = -n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/2 (c) 0 (d) 13191 (e) -1\/2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*y + 0 + 0*y + 0*y as k + f*y and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 92 = 3*z. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-46) + 2600\/4485. Factor 0*g**2 + u*g**3 + 0 + 0*g.\nAnswer: 2*g**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 2. What is g(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -58f + 4000?\nAnswer: 3a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*1 + (1 - 0). Let q(u) = -u**2 - 4*u - 2. Let s be q(z). Factor 2 - 2 - j**s - j**3.\nAnswer: -j**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -109. Suppose 0 = 3*p + 82 + 53. Let o be (p\/6)\/(2\/(-4)). Solve 0 = j - 4*r - o, 5*r + i = -3*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 5*p - 59. List the prime factors of k(-13).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 307.62 + 45.\nAnswer: 352.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to 30\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707 and 11716?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_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: Convert -153c (base 13) to base 9.\nAnswer: -4216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2056440264451 plus 5?\nAnswer: 5.2056440264451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 15*m - 21. Give x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 84 (b) 3\/4 (c) 4 (d) 5 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = 0, f = 5*t - 3*f - 248. Let z be 6\/t - (-3)\/(-24). Suppose z = -h - 5 + 59. Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 19 = -3*y + 32, 0 = 3*a + y - 45. Let j = a - 9. Let l = 7 - j. Solve -s = l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 - 4)) + 2 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 40*g + 30. Let n(z) = -z**3 - 9*z**2 + 8*z + 59. Let j be n(-9). What is the units digit of p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**3 + 14761*h**2\/3 - 29630*h + 44499 = 0. Calculate h.\nAnswer: -14833\/12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 865 + -865. Let s = -15 - -10. Sort s, 2, q, 5 in ascending order.\nAnswer: s, q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1937 - 1934. Solve -2 = 2*l + m*f, -9*l + 5*l = f - 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 5*k - 10. Let w be h(-7). Let q(o) = -o - 4. Let l(u) = 2*u + 9. Let a(g) = w*l(g) + 9*q(g). Let z(s) = 22*s. Determine z(a(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9166 - 9135. Solve w*v = 25*v + 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.470644 millimeters in micrometers?\nAnswer: 6470.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 4\/9, -5, -1\/2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 70 = -2*c. Calculate the highest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 21 = -4*a. Let x = a + 0. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.3.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1732 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3080 and 30593464?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/9 + 7967*j**3\/9 - 210314*j**2 + 7475668*j\/9 - 7443784\/9 = 0. Calculate j.\nAnswer: -8198, 2, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3, t: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162717284.\nAnswer: 2, 40679321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 - ((-4 - -1) + 7 + -8 - (1099 - 1108))?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 2. Let s be z(-2). Let d be s\/(-10) - 796\/(-20). What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = -191 + 590. Solve -h - 5*f - 27 = 0, 14 = -5*h - 5*f - n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 13) to base 9.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 16. Suppose 0 = 4*o - 12, 0 = 3*s - o - 0*o - 6. What is the third biggest value in -0.4, v, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*p + 14, -a + 2*p - 3 = -1 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66846 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3071 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.03 + 0.03. Let l = -9 - -13. Which is the nearest to x? (a) 0.5 (b) l (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - 0.5. Let k = 1915\/7 + -274. Put r, k, -1\/14 in decreasing order.\nAnswer: r, -1\/14, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 363 and 6699?\nAnswer: 73689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1592 + -1569. Calculate the remainder when w is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-2 + 12\/(-1)). Let m be 9\/((-27)\/(-6)) + 1. Let y = m + k. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*y**5 + 17*y**5 - 15*y**5 + (5*y - 5*y + 4*y**3)*(-3*y**2 + 4*y**2 + 0*y**2).\nAnswer: -22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 89665701 to the power of 1\/2, to the nearest integer?\nAnswer: 9469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 14. Which is the biggest value? (a) 1\/11 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x**2 + x**2 + x**2)*(7*x - 4 + 0 + 2) to v*x**2 + y*x**3 + h + r*x and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 4*h)*(609 + 10*h**2 - 4*h - 604 - 30*h**2 + 25*h).\nAnswer: -100*h**3 + 105*h**2 + 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * 3853892.\nAnswer: -462467.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, w: 4, i: 1, f: 3, b: 1, g: 1}. Give prob of picking 1 i, 1 w, and 2 q.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22 - 44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 7*q**2 - 6*q - 8. Calculate o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnm when three letters picked without replacement from {m: 2, a: 4, n: 3, h: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 10*s - 440 = 0. Solve 0 = 6*b + 62 - s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -44, 9, 0, -130 in ascending order.\nAnswer: -130, -44, 0, 9, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 0*x + 1 + 0*x**2 + 2\/3*x**3. Let p(c) be the first derivative of -10*c**3\/3 - 18. What is d(p(z))?\nAnswer: 200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 105593901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + t + 1. Let i be j(0). Let v be ((-7)\/3)\/1*-3. Let u be (-10)\/(-2) - (v + -7). Sort -3, u, i in ascending order.\nAnswer: -3, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*(5 + -3). Suppose -n*o + 8*o - 34 = 3*m, 3*o - m = 22. Suppose 4*c - o = 0, -w + 9 = 4*w - 3*c. Solve -4*g + 3*g + w = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven halves of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(1728) + (sqrt(1728) - (sqrt(1728) + (sqrt(1728) + sqrt(1728)*-2 - sqrt(1728)) + sqrt(1728))) - sqrt(12)).\nAnswer: sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 - 18 - 16 - 52 + 22*u.\nAnswer: 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 75 = -5*q, 2*y - y = -5. Suppose 2*x - q = 8. Calculate the least common multiple of x and 0 + (-8)\/2*-1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1336 + -40?\nAnswer: -1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = -5*j, -3*j + 390 = 396. Suppose -3*b - 2*b + 3*o = -9, 5*b + 5*o + 15 = 0. Solve -1\/3*l**2 + b*l + n + 1\/6*l**3 = 0 for l.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(22*k - 22*k**3 - 22*k) + 5*k**3 - 5*k**3 + 3*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -1.09. Let y = 0.31 + h. Let j be (8\/(-28))\/(34\/(-14)). Is y >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89718 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -12, 34, 63 in descending order.\nAnswer: 63, 34, 7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1641402 (base 7) to base 10\nAnswer: -228636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92681 - 370739 + 92680 + 10*f + 92691 + 92687.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10122 - 20245\/2. What is the closest to q in -12, -0.5, -4, 66?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96 and 624?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16760844*q**4 + 107233454 wrt q.\nAnswer: 67043376*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -34, -5\/437, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 33*a - 12. Let b be s(4). Suppose -4*l + 96 = -0*l. What is the highest common factor of b and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96942.43mm in meters?\nAnswer: 96.94243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.076 and 4.1539?\nAnswer: -0.3156964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*f + 32*f - 3*h - 760919, -5*h + 1141312 = 3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, p: 3, v: 2, y: 8}. What is prob of picking 1 y and 1 v?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15435674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*g**2 - 8701*g - 159337 wrt g?\nAnswer: 30*g - 8701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918825 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1 (base 14) to base 12.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4320415177 - 0.0329?\nAnswer: 4320415176.9671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6308 and -50?\nAnswer: -31.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15604 is divided by 1200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*(s\/s**(2\/5)*s*s)\/s*s*s*s)\/s**(-2\/7))**(-30\/7)*((s*s**(-10)\/s)\/s*s**(-1))**(-23) assuming s is positive.\nAnswer: s**(12078\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 7*u + 75. Let m(o) = -5*o**2 - 7*o - 73. Let t(y) = 3*m(y) + 2*n(y). What is the derivative of t(f) wrt f?\nAnswer: -14*f - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 133*z**3 - 4*z**2 + 7*z. Let g(l) = l**3 - l**2 + 3*l. What is -4*g(q) + w(q)?\nAnswer: 129*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/69 + 386\/483. Factor f*s + 0*s**2 - 8\/7*s**3 - 2\/7.\nAnswer: -2*(s + 1)*(2*s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -4?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6037, 48300, 163013, 386392, 754653, 1304012?\nAnswer: 2070685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34527, 34725, 34923, 35121?\n\"Answer: 198*q + 34329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((4 - (-1 + 2)) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1216*v - 38002. Determine h(31).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -9.2 (c) 15 (d) -3 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846672.\nAnswer: 2, 3, 31, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose -a*z + 1 - 3 = -2*c, -27 = -3*z - 3*c. Solve 6 = z*f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40898328 plus -90.41?\nAnswer: 40898237.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712820561?\nAnswer: 712820561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541\/9 - -60. Let f = -17 + 14. Which is the biggest value? (a) 2 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 199 - 208. Let k(c) = -c**3 - 4*c**2 + 2*c - 14. Does 34 divide k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2. Let k(l) = 4*l**2. Let p(u) = 7*j(u) - 5*k(u). Let m(r) = r**2 - r**2 - 8*r**2. Give m(p(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 217*q - 1508. Determine b(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3377.\nAnswer: -1\/3377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:09 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -1\/2*b**3 + 0 - 1\/12*b**4 - 4*b**2 + 0*b. Let d(g) = -g**3 + 4*g**2 - 5*g + 4. Let o be d(3). Determine h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 34. Let q = 7 - b. Sort -2, q, 4, 1 in descending order.\nAnswer: 4, 1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/16 and -11\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/7 + 11*m**2 - 1591*m\/7 + 4107\/7.\nAnswer: -(m - 37)**2*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 492 and 13284.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.81 - 32.4. Let x = t + 0.59. Let m = 15 + -10. What is the biggest value in m, x, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let q be z(6). Let a be ((-4)\/6)\/((-2)\/q). Let o be (a - 6)*-1 - -1. Solve -3*i = -4*x + 20, 6*i - 3*i - o = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*h + 25. Suppose 3*j - 3*f = 0, 10*j + f + 24 = 5*j. Calculate the remainder when h is divided by -48*(j + (-5)\/(15\/(-11))).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.04, 9, 5, 0.13, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360 + 110*i**2 - 5*i**3 + 177*i**2 - 4*i + 9*i + 73*i**2.\nAnswer: -5*(i - 72)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**8\/6720 + t**6\/240 - t**5\/40 - t**4\/12 - t. Let u(q) be the third derivative of n(q). Suppose -2*s + 2 = -2. Give u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 9 + 11)*(-7 - 3*n + 7).\nAnswer: -78*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/7)\/(-13 + 1998\/153)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4\/3 + 24*c**3 - 3368*c**2\/3 + 12384*c - 42240 = 0. What is c?\nAnswer: -66, 8, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -705325845 divided by -21.\nAnswer: 33586945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, y: 1, w: 1, l: 2, d: 1, p: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/(-4 - -3). Let b be 1\/(l\/15*-3). Solve 2*z + 1 = b*g, -4*z = -7*z - 5*g + 11 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6953 from -630090.8.\nAnswer: -637043.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1855*z + 1854*z = 5*k + 30, 6*z - 13*k + 8 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17379989 - -1748080\nAnswer: -15631909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23472786 or -23472788?\nAnswer: -23472788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22822+632\nAnswer: -22190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2033 and 15542.\nAnswer: 31596886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2c4 (base 15) to base 13\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53\/(6 - 4 - 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 4 + 23*m + 0 - 4.\nAnswer: 23*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6 and 29\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 8. Determine p(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34 - 27. Suppose -k*i + 79 = -12. Calculate the remainder when 23 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**2 + 9. Let s be y(7). Suppose t - c - 59 = 0, 0 = 3*t + c + 3*c - s. What is the greatest common divisor of 28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3206 is divided by 69.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 191*a**2 + 3*a - 73. Let c(l) = -48*l**2 - l + 18. Let t(k) = -9*c(k) - 2*w(k). What is the second derivative of t(i) wrt i?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49061797.\nAnswer: 1951, 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1012604417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1388 + -1393.005. Let v = o + 5. What is v rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p + 5*v, 7*p - 5*v = 2*p + 120. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 161157?\nAnswer: 16113b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**2 + 3*j + 3. Let k(v) = -v**2 - 2*v - 1. Give k(w) + n(w).\nAnswer: -5*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*q + w + 3, 4*q - 3*w = -9. Are 2 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001651 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, i: 1, r: 6}. What is prob of picking 1 i, 1 r, and 2 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {x: 10, z: 10}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15382*p + 7682*p + 7705*p + 200*p**2 - 11 - 4*p**3 + 2*p**3 to b*p**2 + o + v*p**3 + d*p and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from {a: 5, d: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50734.30064 + 102.89064. Let t = -50631.8100011 - h. Let q = 0.4 + t. What is q rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.35219223 + 0.35199. What is l rounded to 5 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -25, -1\/7, -784, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2)*(-23864484758307)\/(-522206790). Let x = -1\/17406893 - c. Let q = x - 22845. Find the common denominator of q and -67\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*s - 38, -3*i - 5*s = -7*s - 23. Suppose 0*m = -m. Solve 2*k + 1 + i = m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 17*f - 14. Let l(v) = -2*v**3 + 15*v**2 + 6*v + 6. Let k be l(8). What is the units digit of p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9595*r**2*u**2 + 2*r**2*u + 458486*r**2 + 41*u**5 wrt u.\nAnswer: -19190*r**2 + 820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -23*z - 7. Let j(c) = -2*c**2 + 197*c - 104. Let w be j(98). Let a(i) = -23*i - 6. Determine w*q(o) + 7*a(o).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 - 11797.\nAnswer: -11797.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/x**1*x\/x**(-6)*x*x*x*x**(-1\/8)*x*x*x**(-3)*x*(x\/((x\/(x*x**3))\/x*x))\/x*(x\/x**(1\/4))\/x**(4\/5) assuming x is positive.\nAnswer: x**(713\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 18. Give n(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 412\/5 - 4\/10. Let f(b) = 56*b**3 + b**2 - b. Let m be f(1). Let h = o - m. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7211 + 7214. Solve 0 = -y - 4*w + 5, -15*y + 16*y + g*w = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/70*t**7 + 2\/3*t**3 + 0 + 0*t**5 - 4*t**2 + 0*t + 0*t**4 + 0*t**6. Differentiate d(x) wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 691*s. Let x(z) = -866*z. What is x(t(a))?\nAnswer: -598406*a","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"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: Let t = 18 - 20. What is the third smallest value in t, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62078a (base 11) to base 12.\nAnswer: -400845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*p - 230 - 197 - 57 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -4*(3 + -5). Let w(t) = -t**2 - 10*t - 7. Let f be w(b). Solve -2*d + g - 16 = -f, -5*g + 25 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7390865)\/(-110485) + (-2)\/(-19)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210674 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 235*m**2. Let h(s) = 9 - 5 + 4*s + 2 - 6. Determine o(h(p)).\nAnswer: 3760*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t - 1. Let b(x) = -x. Let s(r) = 4*b(r) + h(r). Let i(n) = -2*n - 2. Give -6*i(w) + 13*s(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 - f**4\/6 - f**3\/3 - f**2\/2 - 6*f. Determine j(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(1*-2*sqrt(7))*5.\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Let x = -2.6 - -2.8. Which is the closest to x? (a) -2 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*j**3 - 402*j**3 + 0 - 193*j**3 + 0.\nAnswer: -379*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 937153.6 litres to millilitres.\nAnswer: 937153600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10157*c + 1886. Does 100 divide k(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b**2 + 5*b - 4. What is w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*x = -x - 5*u + 433 - 164, 3*u - 2 = 157 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-1)\/(-1)) + 744. Let g = 1095 - u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1077318849 + 0.2.\nAnswer: -1077318848.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**6\/h))\/(h**(7\/2)*h) assuming h is positive.\nAnswer: h**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1038, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(1\/2)\/s)*s**(1\/5))**(3\/7)*((s\/s**0)**(-40))**43 assuming s is positive.\nAnswer: s**(-120349\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 0) + -46 + 52?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269 + 274. Which is greater: 29 or m?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 11*h + 9*h = -113, -v + 36 = h. Calculate the greatest common divisor of v and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 6\/(-18)*47)*-3?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d. Suppose 3*o - 3 - 309 = d. What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*j + 51*j + 68*j - 63*j = -3740 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12232103222 + -100?\nAnswer: 12232103122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-10)\/30)\/((-3)\/((-27)\/(-42))))\/((-398)\/7960)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22476802 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 18\/(-4). Let v = -1.522 - -1.6. Let s = v - -0.022. Which is the third smallest value? (a) x (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 5*(sqrt(1300) + sqrt(1300) + (sqrt(1300) - (sqrt(1300)*-1 + sqrt(1300))))*6 + sqrt(1300) + -1 + -1 + -4)*-5)**2.\nAnswer: -409500*sqrt(13) + 269134525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41260 and 0.04.\nAnswer: 1650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 360919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 20 = 6*n. Let h**2 - n*h**3 - 5*h**2 - h + 9*h = 0. What is h?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 2*n + 5. Let z be l(0). Suppose 5*i - h = -z*h + 126, -i - 3*h + 34 = 0. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -23*u**3\/6 - 5*u**2 - 3*u. Let g be b(-8). Let x = g + -86. Calculate the highest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05369 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - (2 + -16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 + g**3 - 814 + 814 + 0*g**3 + 0*g**3 + 67*g**2 - 14*g**2.\nAnswer: -2*g**3 + 53*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y*(y\/(y\/(y**(2\/37)\/y)))\/y)\/y*y**(-9\/7)*(y**(-6))**8 assuming y is positive.\nAnswer: y**(-12751\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (4 - (-270)\/(-42)). Let t be ((-2)\/10)\/(1\/1). What is the fourth smallest value in f, 0, -0.3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 12. Let q be 3\/(-5)*10\/f. Suppose -q*b = -0*b - 12. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.193 + -40.76033?\nAnswer: 138.43267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -19. Let m be z\/21 + (-21)\/(-9). Solve -2*n = -4*h + 12, m*n = 3*h + 2*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 11. Solve g = -f - 2 - 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p**2 + 7788*p**4 + 30*p - 7783*p**4 - 61*p**2 = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101493 and 86994?\nAnswer: 608958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 16*c**2 - 4*c - 25. Does 7 divide h(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -30, -126, -314, -624?\nAnswer: -1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(2\/(-9)*6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184*k - 4443*k + 13288*k + 14902*k.\nAnswer: 24931*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/48*(-5)\/((-25)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99)*-3)**2)*-6 + (sqrt(99)*1 - -4*(sqrt(11) + -2)) + -2.\nAnswer: -5356 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gms when three letters picked without replacement from {g: 1, p: 4, j: 3, s: 2, m: 1, b: 1}.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31087 + 31085. Let u(f) be the first derivative of -2 - 1\/4*f**4 - 2*f**2 - 2*f - 4\/3*f**3. Calculate u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*l + 674 = 0, -3*l + 452 = 2*z - l. Let q = z - 160. Suppose -11*a + 4*a = -q. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50060 and 133780344?\nAnswer: 668901720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 5474.83.\nAnswer: 5475.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159.8 - -158.8. What is the fourth smallest value in g, 0, 2\/9, 0.12?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - a + 6, 0 = -2*a + 2 + 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23054, -23055, -23056, -23057, -23058?\n\"Answer: -m - 23053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -23, 2\/7, 4\/3, 8.92, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 3. What is b(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -10*u**2 - 270*u. Let r(w) = 27*w**2 + 541*w. Let j(h) = -2*r(h) - 5*x(h). Suppose j(s) = 0. Calculate s.\nAnswer: 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.74, -0.017, -1, -1\/10 in increasing order.\nAnswer: -1, -0.74, -0.2, -1\/10, -0.017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 75160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 9\/((-540)\/(-908)) + (-4)\/30.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -47*l**2 - 152*l - 108. Give v(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose 2*c = 0, a + a - 5*c - 12 = r. Let i(n) = -2*n**2 - 32*n - 111. Let j be i(-6). What is the highest common divisor of j and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131513 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: Suppose -25 + 80 = 5*w. Let v(z) = z**3 - 11*z**2 - 6*z - 50. Let b = -512 + 524. Let x be v(b). What is the greatest common divisor of x and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u**2 + 40*u**2 + 31*u**2.\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2638 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g - 5. Let j(a) = 20*a - 11. Suppose -20*v = 2 + 118. Give v*j(t) + 13*f(t).\nAnswer: 10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 520, 1181, 2110?\nAnswer: 3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 148 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 7. Suppose -p - 3*p = 2*i - 64, -5*p = -5*i + 130. What is the greatest common factor of k and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 6*s**2 + 2*s + 3. Let w be t(-7). Suppose -6 - w = -2*i. Let b = i - 20. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 6*q = 3*q - 25, -3*q = 4*b + 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3)\/6)*32\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) -2\/15929 (c) 4\/9 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.02181433 to 1 decimal place.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247\/2 - -1003\/8. Suppose d + 22 = 5*u, -4*d - 14 + 26 = 5*u. Calculate the common denominator of 45305\/(-14300) + d\/11 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1*w)**(-3\/7)*w**18\/w**(1\/20) assuming w is positive.\nAnswer: w**(2393\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 6*s**2 + 3*s. Let k be y(-3). Let c(g) = g**3 - 5*g**2 - 12*g - 12. Let a be c(7). Suppose a*l + 0 - k = 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-10)\/20*-1*30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1\/30*v**6 + 106\/15*v**3 - 133\/10*v**2 - 1\/2*v**4 + 49\/5*v - 11\/25*v**5 + 152. Factor h(z).\nAnswer: -(z - 1)**3*(z + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -k - 99. Suppose -4*d + 26 = -2*r, -r = -4*d + k + 10. Solve d*o + 10 = 2*h, -o - 4*h = h + 19 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 368*s + 389*s - 1466*s - 848 - 1156*s - 657 wrt s?\nAnswer: -1865","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-4 - 10 - -16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 141 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/21)\/((((-6)\/(-18))\/1)\/(-1))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2 - 4*x - 3. Let f be d(5). Suppose -5*k + f = -s, -k - 5*s = 3*k - 70. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2051 times 725.34\nAnswer: -1487672.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220001 (base 3) in base 16?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -184 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2))\/(3\/3). Suppose 3*b + h*b - 789 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, j: 11, o: 2, r: 1}. What is prob of picking 2 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m - 8. Let h be (7\/(-28))\/((-2)\/8*-1). Let w be h\/(5*2\/4). Which is the third smallest value? (a) -6 (b) m (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 times -934326?\nAnswer: 64468494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 5, h: 3, f: 1, i: 1}. Give prob of sequence hhh.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from gggggggggggdg?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0228092 minus -0.11615?\nAnswer: 0.0933408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 + n**2\/2 - n + 157. Let c(m) = -20*m**3 - 18*m + 18. Calculate 4*c(w) + 72*u(w).\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-8)*(-4)\/(-14)*124. Let q be w\/18 - 5\/((-35)\/(-21)). Let c(o) = -o**2 + 4*o - 4. Let p be c(3). Is q greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 4. Let a(p) = -40. Let f(b) = 1089. Let s(j) = 110*a(j) + 4*f(j). Let n(y) = -2*s(y) + 22*w(y). Let u(r) = -3*r**2. What is u(n(z))?\nAnswer: -1452*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (17 + -13 - 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39 - 77) + 12 - 3.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -758, -953, -1148?\n\"Answer: -195*q - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*h + 33. Let a = h + -5. Let p = a - 1. Let u(o) = 17*o - 9. Let v(i) = -4*i + 2. Calculate p*u(c) - 9*v(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 + n**5\/10 + n**4\/4 + 2*n**3\/3 + 2*n**2. Suppose 4*l - 2*l = 0. Let o be l\/1 - 5*1. What is i(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cydcydrcryccyyyh. Give prob of sequence dyyy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 0 + 0 + 2*a - a - 3*a + (-1 + 1 + 2*a)*(-4 + 4 - 2))*(-2*a + 0 - 7 + 8) to k*a + u + i*a**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 3 = 0. Suppose c - b - 2 = 0. Suppose -2*w + 2282 = 4*a, -9*w + c*w + 4564 = 2*a. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 5) in base 14?\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/20 - 2*k**2. Let j(w) = 4*w. Give j(q(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1000011111011?\nAnswer: 1000011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 c when three letters picked without replacement from httococht.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/948 and 25\/1738?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = 27*r - 9*r - 6. Sort -2, -4, -18, r, 0 in increasing order.\nAnswer: -18, r, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 t when four letters picked without replacement from dttdytttdttdt?\nAnswer: 224\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61522 + 492177\/8. Let w = -4\/1595 + 1897\/4785. Let d = w - -3\/11. What is the nearest to -0.1 in r, d, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 22 - 506. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -11*x**2 - 8*x - 8. Suppose -24 = p + 2*p. Let i(d) = 4*d**2 + 3*d + 3. Let s(h) = p*i(h) - 3*z(h). Let q(r) = -3*r - 5. Determine s(q(o)).\nAnswer: 9*o**2 + 30*o + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q - 22154 = -3*d + 87*q, 5*d - 36960 = -4*q. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let f = -2 + -1. Which is the nearest to 1? (a) z (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 36781376*z\/3 + 169108702556672\/3.\nAnswer: 2*(z - 9195344)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 4*p - 5*s - 125, -25 = -5*s. Suppose -p = 18*j - 19*j. Let g = j - 78. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183258 + -647633815\/3534. Find the common denominator of v and 71\/33.\nAnswer: 38874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 220495\/18 + -12255. Let h = -494\/45 - n. What is the common denominator of (170\/(-120))\/(4\/(-18)) and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43.6 - 1700.4. Let g = -1811.71 - v. Let s = 68 + g. What is s rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.3 and -23962.\nAnswer: 79074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/14 and 43\/239376?\nAnswer: 1675632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.046706 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 0.5 (c) -1 (d) -45 (e) -0.018623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28243 or 28230?\nAnswer: 28243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -11.\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**(-9) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 204 + -193. What is the remainder when 39 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -11. Let j be -1 - 2\/8*d. What is the closest to j in 1, -5, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 7*d**2 - 7*d - 6. Let s be 2 + 8\/(-2) - -10. Let w be j(s). Suppose w*n - 12 = -5*t, -3*n + n + 3*t - 4 = 0. Which is smaller: n or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s - 40. Calculate q(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/12 + c. Let p(u) = -4*u**2 + 3*u. Let n(b) = -2 - 14*b + 2 + 20*b**2. Let s(x) = 3*n(x) + 14*p(x). What is s(z(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 2*f + f + 3*f - f. Let h(d) = 3*d**3 - 3*d**2 + d - 2. Let x be h(2). Let y = 14 - x. Determine g(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.4, -0.02, -27\/4, 1.3 in descending order.\nAnswer: 1.3, 0.4, -0.02, -2\/19, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*f - 229*f - 226*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(4\/7))*w*w\/(w\/(w**(-10\/7)\/w))*w)**(-40) assuming w is positive.\nAnswer: w**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68090 = -1615*q - 28*q + 42734 - 69938 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 1. Let u(s) be the first derivative of s - 4. Let v be -1 + (-165)\/66*6\/(-5). Determine v*u(i) + t(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319324 is divided by 2606?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 8 - 15 - -8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18459*d**3*s**4 - 1071*d**3*s**2 - 21*s**2 wrt s?\nAnswer: -443016*d**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let m be q(-8). Let y = 24 - m. Suppose y = -4*l + 313. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 80. Let n be i(85). Put 0.03, 4, n, 2 in descending order.\nAnswer: n, 4, 2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0101492056 to 2 dps.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9966*x**4 + 3*x**3 - 2*x**2 - 4091*x - 5 wrt x.\nAnswer: -119592*x**2 + 18*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 32*w + 532. Calculate the remainder when 72 is divided by s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/399 - (-47)\/(-63)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 19436, 38903, 58370, 77837, 97304?\n\"Answer: 19467*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -124*d**2*r**2 + 233*d**2*t**3 + 8*d**2 - 913*d*r**3*t**3 - 6*d*t**3 - 4*t**3 - t**2 wrt r?\nAnswer: -248*d**2*r - 2739*d*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -314?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**4 + 6*v**3 + 4*v**2 - 6. Suppose -3*s + 21 - 60 = 0. Let h(r) = -9*r**4 + 13*r**3 + 9*r**2 - 13. Let p(n) = s*b(n) + 6*h(n). Factor p(c).\nAnswer: -2*c**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**3\/3 - r**2\/2 + r + 7. Let d(y) = 6*y**2 - 7*y + 7. Calculate -21*a(t) + 3*d(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 918507*l**3 - 105*l**2 - 607335596 wrt l?\nAnswer: 2755521*l**2 - 210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 u when four letters picked without replacement from ppppuuuuppupuupupuup.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*t + 5 = 0, d - 18 = -3*t - 7. Calculate the remainder when 12 is divided by (-4 - -2)*(-28)\/d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -23. Let g = f + -6. Let p = -15 + 23. Calculate the remainder when p is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*f - 1 - 14*f + 38*f + 6*f + 3 to the form d*f + b and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = -3*d. Let i be 60\/12*(-42)\/(-10). Let f = i - 12. Calculate the highest common factor of f and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20436*l + 6244*l + 1259*l - 4495*l.\nAnswer: 23444*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.179 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 79*u = -162. Let a = 1784\/7 - 247. Calculate the common denominator of a and (-44)\/u*(-13)\/(78\/36).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(138\/(-12)*3).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1197825*h**3 - 3*h**2 + h - 9343 wrt h.\nAnswer: 7186950*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2. Let q be ((-28)\/6)\/(4\/6). Let a be (-1 - 2)\/(-1)*-1. Let f(j) = -4*j + 3. Let y(m) = 9*m - 7. Let c(h) = a*y(h) + q*f(h). Determine c(i(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202 + -12102211020?\nAnswer: -12102211222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 420219940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.126 + 6.974. Let q = k - 1.6. Round q to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d + 23. Let k(y) = 11*y - 34. Let r(w) = -5*k(w) - 8*l(w). Determine r(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(9\/4))**(2\/147)*i*i*i*i*(i*i\/(i*i\/(i*i**28)))\/i*i*i*i**(-6\/7))**23 assuming i is positive.\nAnswer: i**(74773\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 425, 1670, 3737, 6626, 10337, 14870, 20225?\nAnswer: 26402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*t + 258*t + 236*t + 1 + 316*t in the form h*t + v and give h.\nAnswer: 577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25344516?\nAnswer: 2, 3, 239, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/511686 and 7\/62.\nAnswer: 511686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -28*m**3 + 61*m**2 - 11*m - 10. Let j(c) = -13*c**3 + 30*c**2 - 5*c - 5. What is -6*f(h) + 13*j(h)?\nAnswer: -h**3 + 24*h**2 + h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-11)\/2)\/(-11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103 (base 4) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Suppose -466 - 59 = m*v. Let i = 260 + v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) -3688 (b) 0.2 (c) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 3*o**2 + 3*o - 2. Determine z(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723881?\nAnswer: 2723881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -509*h**3 - h**2 + h + 3. Is 34 a factor of n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 22 + 20 = 0. Which is bigger: g or 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 times -1658242\nAnswer: -140950570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -104*f**2 + 7*f + 8*f + 23 - 4*f + 103*f**2. Let z be q(12). Calculate the greatest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 16*l = 14*l - 32, 4*d - l + 23 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834755 a multiple of 2339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-720)\/35) - 2\/(-9).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f + 12b?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 9*r = 0. Suppose -31 = -r*x - x. Let d = x + -22. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 226096, 452189, 678282, 904375?\n\"Answer: 226093*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25999 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 - -5)*(5 + 135\/(-25)). Solve 0 = -5*u - x*r, -2*u - r = -6*u + 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 h when three letters picked without replacement from {q: 3, h: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*q + 203 = -1161 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/9 + 110398*x**2\/9 - 1766176*x\/9 + 2354816\/3.\nAnswer: -(x - 110382)*(x - 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 102. Let b be (k\/(-16))\/(3\/(-4)). Suppose 0 = 5*w + 5*o - 5, 4*w = -b*o + 1 + 6. What is the highest common divisor of 20 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + o)*((3 - 4 - 1)*(-1 + 1 - o) - 2*o + o + 3*o + 4*o - 3*o + 0*o)*(38325 + 264*o - 38325).\nAnswer: 2640*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 85 = -21*h. Suppose -2*s + h*q - q + 2 = 0, s + 1 = 4*q. Put -3, -10, s in descending order.\nAnswer: s, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -41*y + 4. Solve 0 = -y*u + u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*s - 19, y = -y - s + 1. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l + 3*l**2 - l**3 - 3*l - 2*l**2 + 1 - 2. Let g(v) = 8*v**3 - 6*v**2 - 2. Let y(w) = -g(w) - 10*t(w). Solve y(j) = 0 for j.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*l**4*t - 102*l*t**2 + 61752*t**2 wrt l.\nAnswer: -40*l**3*t - 102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -1. What is the units digit of -2*y\/(24\/45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154.75 - -154.78. What is the nearest to z in 11\/3, -4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/10 and -19\/772?\nAnswer: 3860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1080264 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(320) - 1*(0 + sqrt(320)))**2 + 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 16*g**2 + 59*g - 13. Let v be i(15). Suppose 11*f + 8 = v. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*c + 59290, -a + 4*c + 18417 = 3589. Suppose -6*m + 25*m = a. Does 65 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 448148070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = -11. Let b(f) = 9*f**2 + 4*f - 3. Let l be b(t). What is the greatest common divisor of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(2\/109)\/p*p*p*p*p)\/p)\/p)\/((p**(-28)\/p)\/p*p)*(p\/(p*p**(-33)\/p))\/p**(-2\/21) assuming p is positive.\nAnswer: p**(151334\/2289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(0\/(-2) - 1). Let w be (-5)\/(-20) + 79\/4. Suppose 2*h + 5*q = 27, 2*h + q = -5 + w. Solve s = -3*p + h, -3*p - z*s + 5 = -7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 8*q - 81. Let a be h(-6). Let c(i) be the third derivative of -5\/8*i**4 + 0*i**a + 9*i**2 + 0 + 0*i - 1\/12*i**5. Solve c(d) = 0 for d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 8*j**2 - 2*j - 13. Determine h(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.002 - 613.842.\nAnswer: -613.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 1 + 2 + 0)*(1 + 3 + 1) to the form a*c + o and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a year in months?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 6:18 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 1. Let q be y(1). Suppose q*r + 2*z - 8 = -4*r, 4*z - 10 = -5*r. Solve -r*x = -4*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 8 - 14. Suppose -4*b + b = 6. Let a = -17\/80 + 1\/80. What is the closest to 0.2 in b, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273601a (base 11) in base 7?\nAnswer: -55065646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -6 (c) 5 (d) 0.0561 (e) 0.3 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 35.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + y = -b - 27, y - 45 = -4*b. Calculate the smallest common multiple of b and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**3 + 316954*d**2 - 58*d - 231476959 wrt d.\nAnswer: 3*d**2 + 633908*d - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/89, 5.2, 1?\nAnswer: 8\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**3 - 37 + 2*y - 44 + 98 + 93 to the form a*y + j*y**2 + o*y**3 + t and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n. Let g be l(-4). Suppose -g = -5*w - 1. Let h(d) = d - 9. Let t be h(13). Solve w*a = -3, 4 = p - t*a - a for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11, -1\/3, 391, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 56*m + 216. Calculate the remainder when r(0) is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 24, 0.31, -0.1 in ascending order.\nAnswer: -1\/6, -0.1, 0.31, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 239769 and 10443272.\nAnswer: 93989448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/3)\/(1\/21). Let l be (2660\/4655)\/(8\/350). Solve l = -44*g + i*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -4 - sqrt(13))**2*-2 + sqrt(13) + sqrt(13) + -4 + 2.\nAnswer: -34 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 21*b + 8. Let s be m(13). Suppose -4*x + s = 93. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-276812.\nAnswer: -4428992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6) - (-16302)\/(-4). Let n be q\/(-28) + 16\/(-28). What is the second derivative of -n*z**2 - 1 + 151*z**2 + 1 + 4*z wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 20*h**5 - 528*h**4 + 688*h**3 + 328*h**2 - 708*h + 200 = 0.\nAnswer: -1, 2\/5, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/506 and -127\/460.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -84.08. Let m = o + 0.08. Which is the third smallest value? (a) m (b) -2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307.9278 + 0.0722. Let z = -332 + v. Put -1, 0.1, z, 5 in descending order.\nAnswer: 5, 0.1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.697219 to two decimal places.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5272800 rounded to the nearest 100000?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27750\/11 + 2520. What is the second smallest value in 0, j, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + d)*(3*d**4 + d**4 - 2*d**4 + (-2*d**2 + 4*d**2 - 4*d**2)*(5*d**2 + 5*d**2 - 4*d**2)).\nAnswer: 30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150\/13*q**2 + 8\/13*q**3 + 2\/13*q**4 - 160\/13 - 316\/13*q = 0. Calculate q.\nAnswer: -10, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b + 24. Let n be r(-11). Suppose -37 = 2*q + h, -3*q - 5*h = -0*q + 66. Let u = q - n. Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705009875.\nAnswer: 5, 23, 37, 59, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070595 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*u + 3 + 4, -4*u + 10 = -z. Solve -4*c + u = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 1. Let i(z) = 4*z**2 + 2. Let g be -3 - (9 - (0 - 1))\/(-2). Let f(l) = g*q(l) + i(l). Factor f(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - f**2 - f - 1. Let u(k) = 6*k**3 - 4*k**2 - 4*k - 4. Give 3*u(i) - 12*y(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 9*a - 9. Let f be o(-7). Solve 14 = -f*z - q, q = 3*z - 0*z + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3*u + 5*o**3 + 4*o**2*u**3 + 74*u**3 - u**2 with respect to o.\nAnswer: 3*o**2*u + 15*o**2 + 8*o*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 613748408 to the nearest integer?\nAnswer: 24774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, e: 1, g: 4, i: 1, h: 4}. What is prob of sequence mg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-11 - (-3 + 2)). Let h be 28\/(-42) - (-6)\/(-9)*-7. Sort 1, h, p in decreasing order.\nAnswer: p, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -10. Let d = 231\/1255 + 4\/251. Let z be -2 + (33\/(-15) - -1). What is the second biggest value in d, z, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100100000110000010111001 (base 2) to base 6\nAnswer: 534445145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, m: 1, d: 1, a: 2, g: 3}. Give prob of picking 2 e and 2 g.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -68 in decreasing order.\nAnswer: 3, 2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f + 2*f + 2 - f**2 - f + 7*f. Determine r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 18176.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230\/4599 smaller than -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/24 + r**5\/15 - 17*r**2. What is the third derivative of x(t) wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 3*h + 5*h + 9*h - 25*h - 12*h + h + 2 - 2 + (-1 + 1 - 2)*(-1 + 1 + 2*h).\nAnswer: -29*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 225*o - 20. Let s be w(1). What is the highest common factor of 41 and s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728\/65*75\/30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:11 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/32 of a week?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82227 rounded to three decimal places?\nAnswer: 0.822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.2 (b) -1\/2 (c) 3 (d) 5 (e) 1.1 (f) 14\/9 (g) 2\/85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikizrrrimz. What is prob of picking 1 m, 1 r, and 1 i?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 - 55*h - 49*h + 100*h - 2*h**2 + (5*h - 4 + 4)*(16 + 4 - 8)*(-2*h**3 + 2*h**3 - 2*h**3).\nAnswer: -118*h**4 - 2*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 6}. Give prob of sequence cv.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 5*z - w - 37, w + 16 - 10 = 10 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6218.474 milliseconds in nanoseconds?\nAnswer: 6218474000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16 times 9.2\nAnswer: -147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2339243 and -0.1.\nAnswer: -233924.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22175 divided by 13\nAnswer: 22175\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -1. Suppose 42*r = 38*r + 124. Suppose 2*p + 27 = 3*a, -w*a = -p - 0*p - r. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -365 - -370. Solve 0 = -24*g - i*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - i - 11. Let w be s(0). Let n(p) = p**2 + 9*p - 22. Let o be n(w). Suppose o = -9*d + 764 + 154. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 75 = 9*i. Suppose -9*q + i + 20 = 0. Solve -4*x - 3 + 1 = -2*y, -y + q*x = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 11484 - 29648 = 0. What is the hundreds digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120815)\/(-9930) + -15 + 2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 + 551*x + 2222. What is z(-4)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*u**2 + 0 - 211*u**2 + 61*u**2 - 3 + 71*u**2 - 2*u**4 + u**3 to the form t + j*u**3 + d*u**4 + y*u + p*u**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -3 - (1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v*v\/(v**23\/v)))\/v))\/v*v)**(-39)\/(v*v\/(v**30\/v)*v*v*(v*v\/v**25)\/v*v) assuming v is positive.\nAnswer: v**789","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 417409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 2. Let z(q) be the third derivative of -q**5\/60 + q**4\/4 + 5*q**3\/6 + 2*q**2. Let x be z(6). Let w(g) = 5*g - 2. Determine x*w(p) - 6*d(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304654.\nAnswer: 2, 7, 47, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.98 + -0.02. Let h = -854 - -853. Put a, h, 0 in descending order.\nAnswer: 0, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 * -254133\nAnswer: 14231448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -56. Suppose -4*l + d = 3*j, l - 5*j = -0*l + 27. What is the remainder when 46 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + o**2 + 69*o - 70*o. Let m(u) = -u**3 - 2*u**2 + 4*u + 2. Let q be m(-3). Determine p(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 87*v - 482. Let y(g) = -9*g**2 - 717*g + 3854. Let t(q) = 51*d(q) + 6*y(q). Determine s, given that t(s) = 0.\nAnswer: 18, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69\/(-115) + (66\/(-5))\/3. Let a(n) = -n. Let y(l) = -l. Let i(k) = v*y(k) + 3*a(k). Let d(x) = 22*x. What is d(i(z))?\nAnswer: 44*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffftfffffftffffq. Give prob of picking 1 f, 1 q, and 1 t.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 10 + 1)*(-4*v + v + 2*v).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x - x**2 + 35 - x**3 - 37 + 0*x**3 to w*x**3 + o*x**2 + t*x + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:18 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1926, -3883, -5880, -7917, -9994, -12111, -14268?\nAnswer: -16465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4079*c**2 - 167233*c + 246. Calculate n(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012281056185 rounded to 7 decimal places?\nAnswer: 0.0012281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 17, v: 2}. Give prob of picking 2 b and 1 v.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/5 - 14442*t\/5 + 41153616\/5 = 0.\nAnswer: 3906, 10536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -29*j + 27*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 597, 584, 571, 564, 569?\n\"Answer: z**3 - 6*z**2 - 2*z + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-59)\/(-2) + 1)*2. Suppose -d + 2*d - 39 = -5*f, 0 = -3*d - f + n. What is the remainder when 75 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3022 and 3022 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Suppose p*z - 56 = z + 2*a, -3*a - 174 = -3*z. Calculate the remainder when 15 is divided by z\/9 + 2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -0.3, -7\/3292?\nAnswer: -7\/3292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/19649 or -4?\nAnswer: -6\/19649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184807680 divided by 570?\nAnswer: 324224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**3*m - 5*a**3 - 28*a**2*m*n + 162*n with respect to m.\nAnswer: 6*a**3 - 28*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 74*x + 890. Let z be b(-12). Factor 50\/9 + 2\/9*q**z - 20\/9*q.\nAnswer: 2*(q - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 475 and -7.1.\nAnswer: -3372.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*v - 72 = 0, 56 = 5*x + 5*v - 4*v. What is the common denominator of (-95)\/x - (-7)\/(-28) and 91\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -258 + 294. Is 3804\/84 + a\/21 + -2 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -13 (c) 1\/2 (d) 4945\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295372 and 127974.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 1317?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -45\/7. Let u be 4\/14 + 158049\/651. Let s = u - 243. Which is the second smallest value? (a) d (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2*u**3\/3 + 35*u**2\/2 - 15*u + 20. What is the smallest common multiple of 4 and i(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(2\/63)*(q*q**2)**(2\/21))**(-2\/121) assuming q is positive.\nAnswer: q**(-104\/22869)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*q - 2, 0*q - q - 4 = 0. Suppose -3*u + b = -0*s + 3*s, 0 = -3*s - 4*u + 7. Solve -2*y = -7 + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1190, 1192, 1196, 1202?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -130 * 13.3.\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 + 52. Let q = i + 77.99999943. Round q to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (23 + (-53 - -14) - (-7 - 1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + -0.1. Let q = -50 - -21. Let w = -29.5 - q. What is the second biggest value in w, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675364779.\nAnswer: 3, 75040531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -1\/24*b**3 - 2 - 1\/48*b**4 + 0*b**2 - 4*b. Let p(v) be the first derivative of l(v). Factor p(f).\nAnswer: -f*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60243 and 21784149.\nAnswer: 1401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/60 + 13*z**4\/24 + 13*z**2. Let x be y(4). Suppose -x = -6*g + 36. Calculate the remainder when 45 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4785 - (-6)\/(-3) - 18\/2. Which is smaller: q or 4775?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**2 + 4. Let v(g) = -g**3 - 15*g**2 - 7. Calculate -7*i(n) - 4*v(n).\nAnswer: 4*n**3 + 11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(1573))**2.\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10\/9 (b) -0.18 (c) 16.1 (d) 0 (e) -823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 9*s**4 - 8958*s**3 - 14952*s**2 - 2994*s + 2991 = 0.\nAnswer: -1, 1\/3, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s - 2*s + (-4 + 4 - 2)*(5*s**3 - s**3 - 2*s**3) + (-s**2 + 0*s**2 + 2*s**2)*(-2*s + 4 - 4) - s**3 - 3*s**3 + 13*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 - (4 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197207, 394429, 591651?\n\"Answer: 197222*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -2*sqrt(891) + sqrt(891))*1 + -1 - (-5*sqrt(275) + sqrt(275)*-6)*3)**2.\nAnswer: 1248*sqrt(11) + 267712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 255, 603, 1103, 1761?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*x - 2*i - 12 = 271*x, 0 = -3*x - i - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15))\/((-176)\/(-55)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ioxo. What is prob of sequence xoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17593603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) - (sqrt(160) + sqrt(160) + -4*sqrt(160))).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 364 = 3*r. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 9*j**2 + 9*j + 19. Let n be w(8). Let u be 6\/n + -4 + (-710)\/(-45). Differentiate 47*t**4 - 3*t**4 - 15 + u with respect to t.\nAnswer: 176*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 25*u - 93. Let k be z(17). Suppose -k - 192 = -19*j. Calculate the remainder when j is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u - 28 = 0. Suppose 8 + u = g. Solve 0 = k + 5*r - g, -4 = 3*k - 4*r + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379970389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38550 minus -4?\nAnswer: -38546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10111010000110011 (base 2) to base 7\nAnswer: -544536","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)*x\/(x**6*x)*(x\/(x\/(x*x**(-5)*x)))\/(x*x**(-2)*x))\/((((x**(-2)*x)\/x)\/x*x)\/x**(1\/5)*(x*x**4*x)\/x**4) assuming x is positive.\nAnswer: x**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(5*4\/10))\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 59 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**4\/12 - i**3\/3 - i**2\/2 - 12*i. Let n be z(-1). Let q = 41\/5 - 421\/55. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844466320 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/13942 + 29236395\/97594. Let l = -299 + m. Let a = 26\/21 - l. Put 3, -0.5, a in increasing order.\nAnswer: -0.5, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -12, -3, 5 in decreasing order.\nAnswer: 5, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/3 + 1265*p**2\/3 + 90713*p\/3 - 30659 = 0. Calculate p.\nAnswer: -69, 1, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*k + 504, 6 = 2*k - 0. Suppose -7*s = -797 - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52771618 is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 736 divided by -3\nAnswer: -736\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((9 - 6) + 4). Suppose -7*x + 2*x + 2*r + 13 = 0, 5 = 2*x - r. Suppose -60 = -7*n + 2*n. Solve x*b - n = i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 41 = 2*l - 5*l, -5*l + v = -59. Let w = 6045 - 6021. What is the greatest common factor of w and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 3*c - 57. Calculate s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 30373, 4 in ascending order.\nAnswer: 1, 4, 30373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1398 + 1400. Let o(w) be the first derivative of -13 - 2*w + 0*w**r - 4\/3*w**3. Differentiate o(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19038, -19043, -19048, -19053, -19058?\nAnswer: -19063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 2. Let s be (-64)\/l*(-6 + 3). Calculate the greatest common divisor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.101366 and -0.8562?\nAnswer: 0.754834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681408 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: Simplify -2 + (2*sqrt(72)*-4)**2*5 + ((sqrt(18) - ((sqrt(18) - -1*sqrt(18)) + sqrt(18) + 2))*-6*3)**2.\nAnswer: 7776*sqrt(2) + 47662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 40. Determine r(18).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**3 - 11*u**2 + 3*u + 4. Let w(y) = y**3 + y**2 - y - 1. Let a = -626 - -629. What is a*w(v) + d(v)?\nAnswer: -v**3 - 8*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2 = -2*z, 4*z = -i + 9*i + 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012287 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 11}. Give prob of sequence hhjj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*v + 3*d, v - 2*d + 2 = -1. Suppose -56 = -b - 3*o + 34, 5*b = v*o + 370. What is the smallest common multiple of 10 and b?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m - 7. Let u(p) = 1. What is q(o) + 4*u(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600610 is divided by 149.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, d: 10}. What is prob of sequence oddd?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 467563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*q**2 + 21*q**6 - 6*q**2 + 17*q**6 - 7*q**6 wrt q.\nAnswer: 3720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + 23. Which is the third biggest value? (a) 3\/2 (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10*q - 1. Let v(n) = 10*n + 1. What is 5*h(u) + 6*v(u)?\nAnswer: 10*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-40)\/6)\/(12\/(-18)). What is g in 2 - 14*g + 0*g + r*g + 2*g**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 577*g - 1717. Let t(r) = 3*r - 1. Let d(y) = a(y) + t(y). Differentiate d(f) with respect to f.\nAnswer: -4*f + 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213255 is divided by 26655?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 84\/5. Which is the fourth smallest value? (a) -5 (b) 1 (c) -0.1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 152*t + 5287. Let m be a(-29). Sort m, 3, -1, 14, -1\/6.\nAnswer: -1, -1\/6, 3, 14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 21 = -27*q + 28*q, 3*q = -y - 13 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 2, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 2, c: 5, f: 2}. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 578 - -318. What is the units digit of d - (-6 + (-46)\/(-6))*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 1:06 AM?\nAnswer: 614","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s - 43. Let b(a) = -127*a + 15. Let w(y) = 106*y - 16. Let d(t) = -5*b(t) - 6*w(t). Determine 5*d(j) + 3*x(j).\nAnswer: j - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8962993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 - (-9208)\/(-16))*-35076 - -2. Round m to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25904815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 9) to base 13\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 = -5*i + 528. Calculate the remainder when 24 - 0 - (-2 - -2) is divided by (-12)\/(-9)*(i\/16 + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -84*x**2 + 82*x**2 + 40*x**2 + 16*x**2. Let s(p) = 11*p**2. Determine s(c(d)).\nAnswer: 32076*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 35*j + 114. What are the prime factors of t(-34)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.00000041 + 25. Round q to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-570*x - 151*x - 325*x)*(0*x + 2*x - x) as i*x**2 + a*x + w and give i.\nAnswer: -1046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 24*b - 66. Let c be 2\/11 + (-1552)\/(-176). Suppose -d = k - c - 29, 4*d - 185 = -5*k. What is the remainder when x(8) is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4735 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6954\/10577 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 329743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -50. Suppose -5*p + 2*f + 90 = 0, -2*p = 2*p + f - r. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x**2 + 1 + 5*x**2 + 2*x**2 + x**2 + (1 + 16 + 0)*(-x + 3*x**2 + x))*(5*x - 12*x + x**2 + 1 + 5*x).\nAnswer: 58*x**4 - 116*x**3 + 58*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24, -22, -20?\n\"Answer: 2*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2)*c)\/c)**(2\/5))**21 assuming c is positive.\nAnswer: c**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 - 281 = 2*w. What is the common denominator of -13\/12 and ((-927)\/w - -3)*-116?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-one halves of a millimeter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 4 + 14 - (-16 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*s**2 + 1399*s**2 + 5396*s**2 - s + 3*s.\nAnswer: 6486*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 10*g - 3 - 2 = 0, 3*v + 3*g + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*m + 248*m + 117*m.\nAnswer: -374*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -2\/11, -0.5, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3456)\/30528*(-159)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 1, q: 12}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 0*o**2 + 2*o**2)*(55141 - 20880 - 18058).\nAnswer: -16203*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.319 - -1.31900935. What is x rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 26*t - 8 + 22*t - 71*t + 25*t to h + l*t and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 17*y - 14. What is the tens digit of z(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 63208693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3236381 is divided by 1305?\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*s = 3*i - 6, 5*i = 3*s + 24. Suppose -2*w - 3*m = -4, -5*w - i*m + 5*m + 10 = 0. Which is smaller: w or 17\/8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56\/3 - -18. Let u(o) = o - 6. Let n be (0 + 2)*3\/1. Let v be u(n). Is f bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l + 43*l - 42 + 54 in the form q + h*l and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 355591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 10*o**2 + o + 6. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/3))\/(v*v**(1\/7)\/v))\/(v\/(v\/(v*(v*v\/v**(-6))\/v))*v*v**(-1\/8)))**(-39) assuming v is positive.\nAnswer: v**(18239\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = i + 21, l - 2*l - 1 = 5*i. Suppose -r = -3*o + 32 - 2, -4*o = l*r - 56. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 1, -1, 12, 4, 3 in increasing order.\nAnswer: -1, 1, 3, 4, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 6*o - 10. Solve -2*y + 18 = -5*z, y + 8 - o = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 0, -7 in descending order.\nAnswer: 5, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842905 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(2 + -3 + 5*1*sqrt(243)))**2.\nAnswer: 540*sqrt(3) + 54679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -13 + -4 + 25 + -17.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (122 + -51) - (-25 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 3*n + 2*c + 28, -15 = 5*n - 3*c. Let k = n - -4. Let p be k*(-56)\/(-2)*75. Round p to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 11657074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 18 = 3*q, 66*q + 5*b + 102 = 49*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1 = -f, -f - 5 = -3*t - 4. Let s = t - -2. Let x = -706\/7 + 2104\/21. Which is the nearest to x? (a) -0.1 (b) s (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 307944 or 307949?\nAnswer: 307949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5256 (base 7) to base 16\nAnswer: -73e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/(4\/18). Let g be 3\/k - 238\/(-6). Let d = g + -39. Solve 0 = -3*j + 2 + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*o - 2*o + 34 = 0, 0 = -3*x - 2*o + 62. Find the common denominator of -43\/3 and (-470)\/720 - 4\/x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 1743 - 250 + 1608 + h + 1532 in the form x + p*h and give x.\nAnswer: 4633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9130 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*w = -3, -4*n = -7*n + 3*w - 6. What is the units digit of 387*(-4 + -1 + 6) - n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 2*x + 4*x**2 - 2*x**2.\nAnswer: x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:45 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141315502 (base 6) to base 12\nAnswer: -b65b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3450 and -3450 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 19468.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:41 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 15\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-3))\/((-20)\/20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abaw when four letters picked without replacement from {b: 7, a: 5, w: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 32*g**3 - 5. Let r(b) = 80*b**3 - 12. What is -5*r(i) + 12*s(i)?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 + -179. Let g = -258 - -275. What is the greatest common factor of w and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, -4*u - 36*t = -38*t - 22806. List the prime factors of u.\nAnswer: 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*((-130)\/13 + 21). What is the highest common divisor of i and 990?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158685 is divided by 93?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/37438323 and -70\/424899.\nAnswer: 336944907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.5. Which is the second biggest value? (a) 2 (b) n (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 468\/492 + (-1900)\/(-7011)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6a4d4 + 9?\nAnswer: -6a4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, 26 in descending order.\nAnswer: 26, 14, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 73*d**4\/12 - 133*d**2 + 371*d. Differentiate c(i) wrt i.\nAnswer: 146*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16197?\nAnswer: 3, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (0 - (-2 - 0)) + 32 + -34.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22587, -22597, -22613, -22635, -22663, -22697, -22737?\nAnswer: -22783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -990 equal to -989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261496640 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-13)\/(-6734)). Suppose -8*q + i = -q. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/120 - u**5\/15 - u**4\/4 + u**3 - 3*u**2. Calculate k(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/(-30) + 4\/6. Suppose 2*t - v*t = -36. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*j + 472*j + 1799 = -427*j - 3721 for j.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/12 + f**3\/6 + 315*f**2\/2 + 10*f. Let a be h(0). Suppose 4*o - 7*o = -a. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 30. Suppose 3*l + x = -l. Let i(s) be the first derivative of 2*s**2 + 4*s + 1. What is i(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/60 - c**4\/24 + c**3\/6 - 90*c**2. Let l(a) = -4*a**3 + 6*a**2 + 6*a - 6. Calculate l(z) + 6*x(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5777848\nAnswer: -1733354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*w + 372*w**3 + 84*w - 361*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*i**2*o**2 + 10*i*o**2 - 1126*o**2 wrt i.\nAnswer: 114*i*o**2 + 10*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1195, 3320, 6855, 11794, 18131, 25860, 34975, 45470?\nAnswer: 57339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 3*z - 3. Let l be x(-6). Let w = -29 + l. Suppose -154 + w = -2*i. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from kkgkkkgkkggkkgkk.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10002 + 9988.947. Let c = f + 13. What is c rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(0 - 9\/24). Let -m**4 + c*m**3 - 8 + 6*m**2 - m**4 - 8*m + 4*m**4 = 0. What is m?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-18)\/(-1028)) - (-24)\/(-72). What is the third biggest value in x, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2\/5 - 138208*l\/5 - 276432\/5 = 0.\nAnswer: -2, 34554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 14 = -2*c - 3*c, 0 = -3*c + 3*z + 3. Let s(k) = 4 - 5*k - k + 0*k + c*k. What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-3)\/(-45)). Let p(f) = f**2 - f. Let m be p(-2). Let v(l) = -l + 3. Let w be v(m). Sort 1, s, w.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 1. Let m(d) = d**2 + 0 + 5*d + 4 - d**3 + 3*d**2. What are the prime factors of m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k - 1. Let b(n) = -3*n - 5. Let a(v) = -6*v - 9. Let u(w) = -3*a(w) + 5*b(w). Suppose -3 = -x + 5. Calculate x*s(z) + 5*u(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 116 - 16 = 0. Suppose 2*v = -5*a + 121, 3*v + 2*a = 121 + g. What is the remainder when v is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kqkq when four letters picked without replacement from {q: 2, k: 2, e: 5, i: 4}.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -906977 and -12470777.\nAnswer: -13377754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.2 + -1. Let d = 32 - 29. Put z, -0.4, d in ascending order.\nAnswer: -0.4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9003 - 2652146.572.\nAnswer: -2661149.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -3, 63, 9 in descending order.\nAnswer: 63, 9, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-5 + 3 - 3)*(2 + 1 - 5)*(-3 - 2 + 2)*(17*r - 17*r + 7*r**2).\nAnswer: 420*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + -8. Let o = h + 10.8. What is o rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -13. Let j(k) be the first derivative of -k**4\/4 - 17*k**3\/3 - 15*k**2\/2 + 20*k - 2. Calculate the smallest common multiple of j(w) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2840 and -27\/1509176.\nAnswer: 7545880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x. Let d(w) = 2812*w**2 - w. Calculate p(d(h)).\nAnswer: 14060*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**7\/7 - v**3\/2 - 3*v. Find the second derivative of j(m) wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 2*l**6\/15 - l**5\/10 - l**4\/6 - 13*l. Factor i(h).\nAnswer: 2*h**2*(h - 1)*(2*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-one halves of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 263*p + 265*p = 5, 2*y = 5*p + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0+-2203523949574\nAnswer: -2203523949574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from poppcccc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 6079761\nAnswer: 8\/6079761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 8 + 34 + -23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 5, 0.68963, 0.58 in increasing order.\nAnswer: -1\/7, 0.58, 0.68963, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 4945?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1474384*p**3 - 79*p**2 + 2981*p - 4.\nAnswer: -8846304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 523*v**2 - 191*v**2 - 3*v + 2 - 6. Is t(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f. Let m be c(-3). Suppose -9*q = -m*q - 12. Suppose -3*o = -5*a - 5, 4*o - q*a - 20 + 0 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -744 or -504?\nAnswer: -744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-21))\/((-204)\/(-3927)))\/(87\/(-232))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 3)*(5*g - 5*g - 2*g) + 6 - 6 - g - 5*g - 6 + 6)*(g**2 + 3*g**2 - 2*g**2) as c*g + b*g**3 + d*g**2 + x and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4319147 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d**3)*(39*d + 31*d + 154*d - 95*d).\nAnswer: -129*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 0*c + c + 2*c - 3 + 3 + (-2*c + 0 + 0)*(0 + 0 - 1) + 3*c - c + 0*c - 74*c - 87*c + 126*c as l + m*c and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:00 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 271, -4, 179, -3 in increasing order.\nAnswer: -4, -3, 179, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16845 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*1\/4 - 808\/(-16). Suppose -y - 4*t = -v + 15, 0 = -t + 3. What is the remainder when y is divided by (4\/(-6) - 550\/(-33)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -837694\/57 or -14697?\nAnswer: -837694\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 0 - (47 + -37)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/9)\/(6\/(-63)). Suppose 102 = m*i + 74. Factor 2\/3 + 4*h**2 + 8\/3*h + 8\/3*h**3 + 2\/3*h**i.\nAnswer: 2*(h + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -31340?\nAnswer: -31333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 0. Let a = v - -17. Calculate the least common multiple of -15*((-8)\/6 + 1) and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -2*n + 8, -4*n - 5*d - 63 = 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 920.981 decades in months?\nAnswer: 110517.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a + 6. What is d(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14394685 to the power of 1\/2, to the nearest integer?\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 4*z + 523 - 1043 - z - 2*z.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**2\/25 - 82106*h\/25 + 3001908\/5 = 0.\nAnswer: -41235, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6451, 6606, 6925, 7456, 8247?\nAnswer: 9346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115595*g**3*k**2 - g**3*k - 32*g**3 + 8301*g**2 + 4*g*k**2 with respect to k.\nAnswer: 231190*g**3*k - g**3 + 8*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11651600 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1272*k**4 - 10428*k**3 + 26703*k**2\/2 + 67431*k\/2 + 8664 = 0 for k.\nAnswer: -1, -16\/53, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*v - 2*v + 12 = 0, -q + v = -2. Suppose g - 3*h = 8, 5*g - 4*g - q*h - 8 = 0. Let f be (35\/5 - -2) + -3. Solve -2*t - g = -f*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 134 = 354. What is the smallest common multiple of 508 and s?\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -27*y - 344. Determine n(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/2 - 531*f**4\/2 + 12846*f**3 - 94104*f**2 - 66528*f + 1016064 = 0.\nAnswer: -3, 4, 8, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 295*i**4 + 251 wrt i.\nAnswer: 1180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + l - 1)*(-2*l + l + 0*l) - 2*l**2 + 5*l**2 + 3*l**2)*(5 - 5 + 4*l**2).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-160)*-4 - 20\/25.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 916336*d**3 + 916340*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52905098?\nAnswer: 2, 4691, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + r + 4. Let j(v) = v**3 + v**2. What is -4*j(g) + l(g)?\nAnswer: -5*g**3 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.02524, -1449, -50?\nAnswer: -1449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 388 - 47 - a - 7 + a to c*a**2 + h*a + d and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-204)\/(-42) - -10. What is i in 2\/7*i**2 - 4\/7*i + n = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - (-3 + 2 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 3*j**2 + 5*j + 2. Give m(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3956\/9 - -443. Find the common denominator of 113\/30 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -71.975. Put -1\/12, u, 0.1 in decreasing order.\nAnswer: 0.1, u, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*k + 279 + 311 - 590 to the form v + a*k and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-25)*(-6640)\/(-498)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -19) + (1 - 53) + (13 - 17) + -1\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -15623, 13, -16, 11 in descending order.\nAnswer: 13, 11, -16, -15623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -8581.7?\nAnswer: 8581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-3) + (-7)\/21. Suppose s = 3*s - 16. Calculate the greatest common divisor of x and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence daa when three letters picked without replacement from {a: 2, v: 1, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.95962 months to years.\nAnswer: 24.746635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -81065416?\nAnswer: 32426166.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let y(u) be the first derivative of u**6\/60 - u**3 + 5. Let p(q) be the third derivative of y(q). Determine p(w(d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2553\/4255 - 264\/(-10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 + 114. Suppose l + 4 = -3*p, p + 44 = 4*j. Calculate the remainder when 46 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 28 = c - 12, 3*c + 29 = -3*b + 5 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 - 13. Let t be (b\/8)\/((-15)\/(-120)). Let w be t\/(-21) + 108\/14. Solve 5*x + 24 = z, -z + w = -x - 0*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 1 - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -5*u**4\/24 - 17*u**2\/2 - u + 13. Let g(x) be the second derivative of w(x). Let l(s) = -72*s. Calculate g(l(r)).\nAnswer: 360*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j - 3. Let s be a(-3). Suppose b = s - 4. Factor -2\/7*k**b + 0*k**3 + 4\/7*k**4 + 0 + 2\/7*k - 4\/7*k**2.\nAnswer: -2*k*(k - 1)**3*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5549, -44312, -149519, -354392, -692153, -1196024?\nAnswer: -1899227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, -68, 0.3, -34.9, 4 in increasing order.\nAnswer: -68, -34.9, -0.3, 0.2, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 - -127765944.\nAnswer: 127765942.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1778 - 1775. Suppose 3*m = 5*z - 5, -4*z + 23 = 5*m - 18. Calculate the remainder when z is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((1 - 3)\/(-2)). Suppose 2*v - 5 - 7 = m. Suppose -5*y + 5*b + 0*b = -30, -2*b - v = 0. Solve 0 = c + 2 - y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*b - 2*s - 43, 4*s = b - 7. Suppose -b = 3*d - 0*d. Let r(z) be the first derivative of -z**4\/4 - 5*z**3\/3 - z**2 + 2*z + 6. Calculate r(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 13*h = 225. Let x be h\/10*4\/(-6). Let b be ((-8000)\/3)\/(x\/21600). Round b to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 12:46 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n - 10*n**2 - 3*n - 20*n**3 + 32*n**3 = 0.\nAnswer: -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37106, -37446, -37786?\n\"Answer: -340*u - 36766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 384570001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166\/723 or -28\/13?\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 16*y + 41. Determine r(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, r: 2, d: 4}. What is prob of sequence diri?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 311717 + -311714. Factor 4\/3*a**i - 8*a + 0 - 4\/3*a**2.\nAnswer: 4*a*(a - 3)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 1140055000*k + 64986270151250000.\nAnswer: 5*(k - 114005500)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 10*q - 8. Let r be g(-4). What is the highest common divisor of r and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-45) - (-142)\/1065?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p - 1. Give q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3223*z**4 + 485*z**2?\nAnswer: 77352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/238 and -27\/10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 835892541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*i + 61, j = -0*j + 3*i + 33. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.554163 - -14.549033. Let u = d + -14. What is u rounded to 4 dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*l + 75*l = 1596 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 809.443 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j**2 + 68 - 68 - 24*j**2.\nAnswer: -41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*t**3 - t**2 + 553*t**3 + 144*t**3 + 3 + 481*t**3 in the form c*t + l*t**2 + g + v*t**3 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36414239 to the nearest integer?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, x: 6, v: 5, u: 3}. Give prob of picking 2 v and 1 u.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.3 and 990335610900.\nAnswer: 990335610904.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 29*k - 21. Calculate a(12).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -3\/10, 710, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/62566 and 93\/154126.\nAnswer: 6319166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -313\/412304 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0846608147 rounded to six dps?\nAnswer: -0.084661","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -150*t + 263*t + 1582 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111825 + -12077207\/108. What is the common denominator of p and 65\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3498817 is divided by 106024.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-360)\/176)\/(-5))\/((-9)\/(-12)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -35*q - 311 - 597 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8432 by 17.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (15\/(-2))\/(7174\/844). Find m, given that 0 + 0*m + 0*m**2 - g*m**3 - 2\/17*m**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4365275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -324 + 326. Suppose -m*p + 355 + 1053 = 0. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h\/h**(-24\/5)*h)\/h)\/h)\/h*h)**(-2\/51) assuming h is positive.\nAnswer: h**(-58\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46365 and 1815.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -1) + -1 + 48. Let f be (12\/g)\/((-3)\/660). Let b = f - -58. What is the closest to 0 in b, 5, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 11*l + 4. Let s(z) = z**2 + 11*z + 3. Let j(d) = 2*n(d) - 3*s(d). Let a be j(-5). Is 28 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 7*t - 3. Let i be l(-3). Let x be ((-10)\/6)\/((-8)\/24). Let q = i - x. Solve -q*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m - 27. Let w be b(-5). Solve -8*x**2 - 5*x + 4*x**2 - 2 - 3 + 5*x**w + 9*x**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xncxumu. What is prob of picking 1 n, 1 m, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-21 - (-1 + -13))) + -37.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = 24. Let q(x) = -x**2 - 7*x + 4. Let v be q(w). Let i = -4 - v. Is 0 not equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/3)\/(-40)*16\/(144\/45)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -104, -5, -19, -2\/5, -2\/13, -1, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/60 - s**4\/12 + 29*s**3\/6 + 230*s**2 + 2*s. What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 829?\nAnswer: -4974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441 (base 10) in base 3?\nAnswer: -1222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 499126966 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12674 divided by -1116\nAnswer: 6337\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h = -122*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 8) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.98 and 897?\nAnswer: 5364.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/478254 and 107\/250514.\nAnswer: 5260794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 92 = -5*u, -6*t - 2*u = -7*u - 128. Let y(g) be the first derivative of t*g + 47\/4*g**4 - 17 - 7\/5*g**5 - 91\/3*g**3 + 33\/2*g**2. Factor y(b).\nAnswer: -(b - 3)**2*(b - 1)*(7*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -662575, -662576, -662577, -662578, -662579?\n\"Answer: -n - 662574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 7\/2789?\nAnswer: 7\/2789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -96 - 24. What is the greatest common divisor of t and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2 = -x, -11*x + 13*x + 2*c - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 40*s**3 - s**2 - s. What is w(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s + 33*s + s - 55*s + 7*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3244.8766 to 1 dp.\nAnswer: -3244.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p + 19*p - 14*p**2)*(82288 - 82288 + 550*p).\nAnswer: -7700*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157510914.\nAnswer: 2, 3, 11, 101, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104996839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-176)*((-80)\/(-12) - 6)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 0.1. Let x = -3.8 + t. Let o = x - -3. Which is the smallest value? (a) o (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -4*h**5\/5 - 2*h**4 - 4*h**3\/3 + 5. Factor m(v).\nAnswer: -4*v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 0. Let i = -31639\/5 + 6328. What is the closest to i in 0.3, 0.4, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(143) + -1*sqrt(143) - sqrt(143))*1 + sqrt(143))*-3*6)\/(6*2*-2*sqrt(99)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -15*d + 49. Let h(m) = -31*m + 99. Let j(q) = -4*h(q) + 7*v(q). List the prime factors of j(19).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/19 (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2*d + 13. Determine l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204311 (base 9) to base 14.\nAnswer: -12dc20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2 - 3603*v - 50246 = 0. What is v?\nAnswer: -3589, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -43 + (13 - (21 + 0) - -16)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**10\/840 - b**6\/360 - b**3 + b**2. Let l(r) be the first derivative of s(r). Find the third derivative of l(k) wrt k.\nAnswer: 720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 37*h + 56 = 8*p, 0 = -2*h - 3*p + 28 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -1\/8 (b) -11 (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**3 + 69*j**2 + 174*j - 105 = 0. What is j?\nAnswer: -7, -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 + 172*a**3\/3 - 806*a**2 = 0. Calculate a.\nAnswer: -39, 0, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-84 + 88)\/(385\/(-387) - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:12 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/199501 + -502742308\/10573553. Let o = j + 81059\/1590. Calculate the common denominator of o and 5 - 39*24\/(-270) - 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + m**2 - 3*m**2)*(-26 - 34 + 54 + 5*m) in the form v*m**3 + q*m + b*m**2 + u and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) + (sqrt(5) - 1*sqrt(5)*1)) + -1 + 3.\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -101*h - 10916. Give r(-108).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/808 and -73\/4?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - 62. Let m(c) = 187*c - 553. Calculate the smallest common multiple of v and m(3).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(3 + 1*sqrt(700) + -5).\nAnswer: -40*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-11))\/((-64)\/(-704)). What is the second smallest value in -78, k, 2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/19 - 48*n**2\/19 + 198*n\/19 + 1080\/19.\nAnswer: 2*(n - 15)*(n - 12)*(n + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**5 + 2333*c**4 + 107570*c**3 + 292432*c**2 - 402336*c = 0.\nAnswer: -2286, -44, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1784248090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*g + 4*g - 39. Let l(c) = -c**3 + 2*c**2 + 5*c - 2. What is the remainder when l(g) is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*a = -66*a + 5*p + 1, -5*a + p + 17 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*2*((-576)\/(-108))\/(-16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8808 and 67416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(2*o - 3*o + 3*o) + (o - 5*o + o)*(23 + 22 - 40).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - 61 + 130 - 36 - 33.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 223?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36158)\/(-1616) - (-3)\/(-8). Solve -4*l + 36 = -i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let j(f) = 2*f**2 + 1061. Calculate j(r(y)).\nAnswer: 2*y**4 + 1061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/5))\/(c*((c\/(c*c\/((c\/c**(-3\/4))\/c)))\/c)\/c)*(c\/(c\/(((c\/(c*c**(-9\/2)))\/c)\/c)))\/(c**20\/c) assuming c is positive.\nAnswer: c**(-277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 24 = s, -2 = 4*n + 18. Let u be -6*(s - -3 - 2). Calculate the greatest common factor of 18 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9590 (base 13) to base 9.\nAnswer: -31388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24291 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4014506751.2114 + 7?\nAnswer: -4014506744.2114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 10*f + 57. Let h be w(14). Suppose -2 + 18 = -4*g + 2*v, 1 = 3*g + 5*v. Let s be 9\/(-39)*1\/g. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, 81, 247, 539, 999?\n\"Answer: 7*o**3 + 33*o - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7662521 decades?\nAnswer: 7.662521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4493843199988.14 from 0.5.\nAnswer: -4493843199987.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889 is divided by 238?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -98 + 101. Solve -5*s + r = 5, -o*s = -7*s + 2*r + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**3 + x**2 + 4*x + 3. Let j be 2 - (-2 + (-1 - -7)). Is w(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -591*w**2 - 203*w + 1 - 622*w**2 - 611*w**2 + 560*w**2 wrt w?\nAnswer: -2528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 80 = 5*f, f + 3*t = 2*t + 20. Suppose v - f = 1. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6075*c - 7341*c + 29118 = 0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11224103 - -3?\nAnswer: 11224106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000101100000010 (base 2) in base 5?\nAnswer: 111304323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/10 - (-6)\/(-4). Let v = -2 + 1. Let y = v + 0. Which is greater: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - z, -2*v - z = -5*z + 6. Let l(w) = 19*w**3 - w**2 + 1. Calculate the remainder when l(v) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9*r**2 - 32*r - 4. Let s be b(10). Suppose -7*h = h - s. What is the greatest common factor of 54 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 11)\/2*1. Suppose -3*v = -3*n - 0*n - 84, g*n = -v + 28. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21409000 and 11060?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -728867 (base 10) in base 8?\nAnswer: -2617443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (5 - (-7 - -2))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/40)\/((15\/(-42))\/(-3*(-20)\/(-126)))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-18)*((-5831)\/(-40278) - (4 - (-23)\/(-6))).\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38140513*f*x**3 - 2*f*x**2 + f*x + f + 3*x**3 + 27*x**2 - 27*x + 21 wrt x.\nAnswer: -228843078*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 472 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {f: 1, h: 1, w: 9, c: 6}?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5779078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5860 = 339*u - 349*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*g + 2*q + 10, -5*q = -g - 5. Let m be 2*-2 - (-10)\/g. Let x = -659\/120 - -45\/8. Which is the closest to 0.1? (a) m (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:55 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 162*g - 139*g. Solve 3*i = i + g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 330\/30*-1*6\/33\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501615493 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: Round 0.70007273 to five dps.\nAnswer: 0.70007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166 is divided by 1025?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let o = -2 + j. Suppose r + 4*r = o. Solve -l - 3*l = 2*b - 8, r = 5*b - 2*l + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-42)*6\/4. Let x = 0.6 + -0.1. What is the nearest to h in -0.1, x, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343045 is divided by 85752.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56*b**3*y**4 + 68*b**3*y**2 + 148*b**3 + 4*y wrt y.\nAnswer: -672*b**3*y**2 + 136*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 5*k**2 + 4*k**2 + 5*k**2 - 23*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 - 278 = -2*i - 3*l, 3*l = 2*i - 48. Solve -4*x - u + i = -1, x = u - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24892.59864 rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5.4 times 54343\nAnswer: 293452.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**22\/(y*y*y*y\/(y**(-20)\/y)) assuming y is positive.\nAnswer: y**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1801535.2707 to the nearest one thousand.\nAnswer: 1802000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17450.523 months to centuries.\nAnswer: 14.5421025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 1, p: 1, y: 1, a: 2, d: 1}. What is prob of sequence pav?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 2)*-2*3 + -4*(0 + sqrt(432)) + (sqrt(432) + -1 - sqrt(432)) + -3)**2.\nAnswer: 3456*sqrt(3) + 35248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x + 4 - 3*x**2 + 4*x + 12*x + 2*x**2. Calculate i(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1220, 3320, 6828, 11750, 18092, 25860?\nAnswer: 35060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56939 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*((sqrt(143)*-1)\/sqrt(11) + -4 + -1 + sqrt(13)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2297 + 1576. Let p be 4 + (-2)\/(16\/u). Let c = p - 94. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 6?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**3\/6 - g**2\/2 + 2*g. Let t(l) = -239*l + 72*l + 100*l + 1 + 76*l. What is 2*a(u) + t(u)?\nAnswer: 11*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 - -230.9. What is the third smallest value in -1.4, z, -1, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.9214841104 - -0.0785146496. Let a = 25 - x. What is a rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 4. Let a be 4*(y\/(-10) - (-35)\/100). Let p = 39 + -28. Solve -a = -4*f - p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7606566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25*(-22)\/(-6050))\/(48\/(-132)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 18 - 5) + 2 + 5 + 34.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*g - 1272*g + 160111 = 734*g + 243*g for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582800 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-131)\/3. Let u be ((-16)\/12)\/(p\/(-30)). Which is greater: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**2 - 15*v + 21. Let r(t) = t**2 + 1. Let o(c) = -a(c) + 3*r(c). Determine l so that o(l) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g = 26*g - 66*g + 141 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (4 - 2 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + b**2 - 437 - b - 411 - 2*b**3 + 924 in the form m*b**2 + k*b + f*b**3 + w and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1061 = 13*o + 60. Calculate the remainder when o is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**5\/11 + 48*j**4\/11 + 328*j**3\/11 + 436*j**2\/11 - 30*j - 44 = 0 for j.\nAnswer: -11, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 150 - 124. Let d = u - 25. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 8*n + 12. Let m(f) = -7*f**3 - f. Let s be m(1). Let o be t(s). Suppose -5*v = -4*v - o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28730 - 185?\nAnswer: 28545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/75)\/(1*3\/(-10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2560*k - 2560*k + 7721*k - 2528*k.\nAnswer: 73*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -e?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((34\/(-2601)*-51)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2097*c - c**4 + 3*c**3 - c**3 + 2 + 2101*c + 3*c**2 to the form b*c**3 + q*c**2 + z*c + t + d*c**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3722 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -16*h**3 - 21*h**2 - 20*h + 2. Let a be r(-1). Solve 3*w + 2*l = -a, 4*w = -27*l + 23*l - 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 309937440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -273 times 69.7\nAnswer: -19028.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 65 = -3*r. Let h = -42 + 24. Let s = h + 25. Calculate the remainder when r is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, v: 1, z: 2, n: 1, l: 1, j: 1}. Give prob of sequence vjl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*p**2 - 67*p - 129.\nAnswer: -(p + 3)*(8*p + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-225)\/(-18)*(-8)\/(-5). Solve 0 = 2*b - 0*b + 2*n + j, -n - 20 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.56 + -0.16. Let o = 1.84 - q. Let g = -0.04 + o. What is the nearest to 0.1 in g, -4\/3, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -312, -314, -316, -318, -320, -322?\n\"Answer: -2*x - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*sqrt(114)\/sqrt(3) + sqrt(38) + (-2*sqrt(1368) - sqrt(1368)) + sqrt(38))\/(-4*sqrt(242)*1) + 4.\nAnswer: sqrt(19)\/2 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*b + 17 = 0, -5*s + 4*b = -86 + 45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8750*m - 62764. Give n(7).\nAnswer: -1514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**6\/120 + j**5\/60 - 2*j**2 - 9*j. Let i(r) be the first derivative of h(r). What is the third derivative of i(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -22133033?\nAnswer: 22133110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -31. What is the remainder when 3 is divided by (-4)\/6 + (-24)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 343061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*m + 285209 + 13821. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - q = 52 - 62, -5*p + 2 = q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 351 + -4561\/13. Let y(p) = -8*p + 1. Let w be y(-1). Let c = w + -4. What is the second biggest value in c, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 84*u**5\/5 - 1712*u**4\/5 - 4948*u**3\/5 - 512*u**2 - 368*u\/5 = 0.\nAnswer: -2, -1\/3, -2\/7, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 0, 0.5, 22, -1 in decreasing order.\nAnswer: 22, 0.5, 0, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*t = -180, -2*c + 11*t + 27 - 164 = 5 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -166 - -1253. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 4779*f**2 - 6 - 4*f**2.\nAnswer: -4783*f**2 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -6990 + 15*o + 13995 - 5*o**2 + o**3 - 6984 + 13*o**2. Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2. Let d(l) = -325*l**2 - 22*l. Let r(f) = -1298*f**2 - 99*f - 1. Let w(c) = -9*d(c) + 2*r(c). What is w(k(u))?\nAnswer: 5264*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 53 (c) -1.2 (d) -13\/25 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424492, -424495, -424498, -424501, -424504, -424507?\nAnswer: -424510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*z + 4, 5*a + z = 6*z. Suppose a*x - 199 = -h, -87 = -2*x - 0*x - 3*h. Let d = x + 16. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11204467?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inq when three letters picked without replacement from iiyiiiiiiyiqnieieiei.\nAnswer: 13\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 18*k - 16*k, -k - 9 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23342*v**3 + 7*v - 66 wrt v?\nAnswer: 140052*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -136 + 4f7?\nAnswer: 3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 - -87.1. Let o = h - 87. What is the closest to -1\/7 in -1\/7, o, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-4)\/2 + 1). Let s = 3 - 2.7. What is the closest to -0.06 in 1, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 239?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/(8\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 + 0?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961980177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.125 * -7\nAnswer: -0.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3097472.\nAnswer: 2, 7, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -17*b**3\/3 - 11710*b**2\/3 - 668431*b + 118080 = 0?\nAnswer: -369, -320, 3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {k: 3, p: 1, m: 2, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 - 10*r - 36. What is the hundreds digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from rwdrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*b**2\/4 - 635*b\/2 - 70.\nAnswer: -5*(b + 28)*(9*b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djwd when four letters picked without replacement from wjpjwjdwwwddpjwwwjw.\nAnswer: 15\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/27847768 and -99\/27847768.\nAnswer: 27847768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiik when four letters picked without replacement from {i: 4, k: 3, p: 1, r: 1, y: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33145867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -39*n + 40*n - 23, -5*n + 3 = 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.72 - 126. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 3*y**2 + 2*y + 1. Is 5 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20494.\nAnswer: 2, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1352103 - 1433?\nAnswer: -1353540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*(-45 - -1). Suppose 0 = 2*n - t - 30. Let d(s) = 2*s**2 - 24*s + n*s - s**2 - 17*s. Calculate d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -658968, -658948, -658928?\n\"Answer: 20*a - 658988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115887993 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.018 + 0.043. Let n = q - 0.071. Let g = 3.1 - 0.1. Which is the biggest value? (a) n (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:43 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let n(q) = -2. Determine -n(l) - 5*o(l).\nAnswer: 5*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-1))\/(43\/(50654\/(-76))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8966831 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times 139.235?\nAnswer: -2784.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529185, 529177, 529165, 529149, 529129, 529105, 529077?\nAnswer: 529045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4138497 is divided by 111851.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - -3013920\nAnswer: 3013920.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -41, -1, -4 in descending order.\nAnswer: -1, -2, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30*-4)\/(6\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1608)\/(-36) - (3 - (-7 - -2)). Find i, given that l*i**2 - 40 + 25\/3*i**3 - 260\/3*i = 0.\nAnswer: -6, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*f + 5 = 0, -5*f = 5*g - 1267 + 1242. Let z(i) = 3*i**2 - 13*i - 7. Let a(x) = -x**2 + 1. What is g*z(j) + 5*a(j)?\nAnswer: -2*j**2 - 13*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 197.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 4*q - 2. Let s(z) = 4*z**2 + 2*z - 1. Suppose 0*t + 3 = -t. Let h(m) = t*p(m) + 5*s(m). Let n be 5*(-4 + 64\/20). What is h(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orrr when four letters picked without replacement from rrorrrrrroorrr?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b86 + a5?\nAnswer: 406b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -5, -4, -1, -224, 5 in descending order.\nAnswer: 5, -1, -4, -5, -18, -224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/560 and -1\/3080.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 5. Let c = 8 + a. Is -1 - (c + 1 - 263) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = s - 5*d, -5*s = -3*s - 4*d - 2. Let j be ((-70)\/4)\/s*6. Suppose y + 5*w = 24, j = y + w + 3. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*b**3 - 73*b**5 - 10*b + 22*b**3 wrt b.\nAnswer: -1460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 4 - (-6 - (-96 - -48)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3379\/(-155) + 29)*1\/(-3)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 16. Let b = -12 - 0. Let r be j(b). Let t be (r - -4 - 5)\/1. Sort -1, t, 1 in ascending order.\nAnswer: t, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2057\/5 - -4099\/10. What is the second biggest value in 1, -1\/380, n?\nAnswer: -1\/380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/135*-10 + (-10)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:57 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fbnwnbkkkkwfwkobbk. What is prob of sequence fbwf?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -3\/14 (c) 1\/2 (d) 14 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -210? (a) -5394 (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20*a + 254. Let r be y(-12). Solve 6*c = -c - r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 389.76 + -388. Let p = n + 1.24. Sort -0.3, p, -6, -1\/5.\nAnswer: -6, -0.3, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 4*k**2 - 1. Let f be t(-3). Let b(c) = c**3 - 5*c**2 - 2*c + 7. Let a be b(5). Let r = f + a. Solve 3*x - 1 - r = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010121210 + -202?\nAnswer: 11010121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*n - 4, r - 14*n = -11*n - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 3 + 6*l**2 - 5*l**2 + 8 + 149*l**4 - 2*l + 11 - 17 as i + k*l + p*l**4 + m*l**3 + z*l**2 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 9) + -21 + 0. Let i = l - -54. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1413615018 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-18\/5)\/k)\/k)\/((((k\/(k*k*k*k**(1\/4)))\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*f**3 + 0 + 66*f**2 + 0*f = 0. Calculate f.\nAnswer: -88, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 30) + 27 + (-3 - (12 + -140))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -16*w**3 - 393576*w**2 - 2420541585*w - 2420148025 = 0?\nAnswer: -49195\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*q - 29, w = 2*q + 2*w + 1. Let a(r) = -2*r**3 - r**2 + 5*r - 4. Let k be a(q). Solve 10 = -2*p, 4*c + k = 2*p - 4*p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.169 - -0.129. Sort -0.2, c, -0.1.\nAnswer: -0.2, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 20*a - 24. Let j = 280 - 248. List the prime factors of s(j).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/225*10\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*t + 736357 + 2061696 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -506 (b) -7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 25?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + (-381)\/(-4). Suppose -3*q + d = -40. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 48. Let z(n) = -2*n**2 + 11*n**2 - 2 + u*n + 1 - 8. Is z(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 19249 in decreasing order.\nAnswer: 19249, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 - 631*y + 69. What is v(70)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 + (-6760)\/(-750))*-6. Sort -5, l, 0.01 in increasing order.\nAnswer: -5, l, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6. Let i be s(0). Suppose d + 150 = i*d. Let b = d - 23. What is the greatest common factor of b and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 144 - 81. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 = w. Let a be -2 - 2\/w - -18. Suppose 1 = -d + 5, a = 5*n + 2*d. Solve n*y = y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1522906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -1.8. Let p = -1 - d. Let b = 6.7 + -7. What is the smallest value in p, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 80 = -3*i. Let b = -1 - -4. Solve -b*p - 5*z + 6 = -6, 0 = 4*p - 4*z - i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -311 + 168. Let c = u - -146. Solve -3*j = c*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117450 is divided by 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 + 23115772*v\/9 + 66792364394498\/9 = 0. What is v?\nAnswer: -5778943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 60*b - 4187. Solve -14*f - b + 9 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 0 + 1\/4*l**3 - 298*l**2.\nAnswer: l**2*(l - 1192)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1003c16 - -6?\nAnswer: 1003c1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 divided by -2.\nAnswer: -353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.11 + -17. Let f = n + 4.89. What is the closest to -2 in -2, f, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7*y = -21*y + 479739. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273470 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 72247648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4753 divided by -4647\nAnswer: -4753\/4647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13562066 from 0.1.\nAnswer: -0.03562066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y + 7. Let m be c(3). What is the remainder when 4\/16*155 - (-1)\/m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 + 184. Solve g + 4 = s*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w + 13*w + 5 - w to the form t + q*w and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5811 or 1040?\nAnswer: -5811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383727?\nAnswer: 3, 37, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 8, -190769 = 4*n + n + 3*i. Let y(u) = 315*u + 770. Let l be y(25). Let z = l - n. What is z rounded to the nearest 1000?\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88203133 is divided by 5188419.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 349478866 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5896 and 3216.\nAnswer: 35376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v**4 + 3716*v**3 + 6300*v**2 + 1564*v - 1048 = 0. Calculate v.\nAnswer: -131, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a week in hours?\nAnswer: 2268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 39257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 476*y\/13 + 478\/13.\nAnswer: -2*(y - 239)*(y + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13731?\nAnswer: 3, 23, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1278a872 + -1?\nAnswer: -1278a873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 310 - 4032\/13. Let h = -0.7 - 0.3. Let n = -2.003 - -2.053. Which is the nearest to n? (a) -1\/2 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 69202*w - 69200.\nAnswer: -2*(w + 1)*(w + 34600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2\/2 - 24. Let j(k) = 248*k. Calculate j(u(p)).\nAnswer: 248*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -36\/11, -3\/2, 2, -0.2 in ascending order.\nAnswer: -36\/11, -3\/2, -0.2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20212 + 2120?\nAnswer: 100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = -4*u + 2, 3*g = -4*u - 7. Let l be (-10)\/(-4) + g\/(-6). Find the second derivative of -6*k**4 + 2*k**4 + k**l + k - 3*k wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:15 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - 8*l - 1. Let s(v) = v**2 - v. Let h = -1077 - -1078. Calculate h*j(b) - 4*s(b).\nAnswer: 2*b**2 - 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85945 + -19776. Is z 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 80178 and 24150?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-2)*399*220\/(-413820).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n**2 + 12*n + 6. Let j = -17 - -29. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 144.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 w when three letters picked without replacement from sjwssstqssssqssqlswq.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161477 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -1006, -4\/5, -5, -2, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3*467.44\nAnswer: 1402.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -13*c**7\/30 - c**4\/24 + c**3 + c**2 + 28. What is the second derivative of z(b) wrt b?\nAnswer: -1092*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 - 8 = 0. Let k(b) be the second derivative of -b**5\/20 + 7*b**4\/12 - 3*b**3\/2 + 3*b**2 - 115*b. Calculate k(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 21 + 0*b + 18 + 8*b**3 - 6*b - b**2 - 57 in the form i*b**2 + w*b**3 + t*b + j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(4826*g**3 + 5179*g**3 - g**2 - 1721*g**3 + g) + 0*g**2 + g**4 + 0*g**2.\nAnswer: -8283*g**4 + g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Suppose -15 = x + 2*x, u*v - 207 = 3*x. Calculate the highest common divisor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 - 3*s**2 + 4*s**2 + 5*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138112 is divided by 1158.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q + 5 - 57. Let h(p) be the second derivative of -p + 0 + 1\/5*p**q + 7\/10*p**7 + 0*p**2 + 21\/50*p**6 + 0*p**3 - 18\/25*p**5. Factor h(o).\nAnswer: 3*o**2*(o + 1)*(7*o - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106375, 106615, 107015, 107575?\nAnswer: 108295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (260\/(-8) + 2)*(-6 - 2)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13685 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*m + 2 = -h, -9 = -5*h + 4*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-1400)*-14)\/(36\/120)*222\/(-1)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321688 = 4*m + 4*l, -616*l = 4*m - 618*l - 321730. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -699.405858.\nAnswer: -702.405858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 1:11 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*((1*sqrt(153) - sqrt(153)) + sqrt(153))*5)\/(5*(sqrt(9) + -1*sqrt(36))*1).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/33 - 1548\/2475.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -79, -634, -2267, -5518, -10927?\n\"Answer: -90*j**3 + j**2 + 72*j - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95179951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19423 is divided by 19210.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1382346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 0)\/3 - -1. Suppose -h*o = -4*o. Let g(c) be the first derivative of c**3\/3 - c**2\/2 - 5*c + 20. What is g(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**2 + 58*z + 407. What are the prime factors of w(-47)?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240455 - 120260 - 104747 = -1857*v - 2226*v for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 329*m - 5012 = 325*m. Let i be m\/63 + (-11)\/(-99). Let l = -8 - -40. Solve -3*c = -0*c + 5*h + l, c + i = -4*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbt when three letters picked without replacement from {w: 1, n: 1, b: 1, e: 2, t: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffdv when four letters picked without replacement from vovofdjdvfjfv?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-3)*w))**(30\/11)*w**(-19)*w*w\/w**(-7) assuming w is positive.\nAnswer: w**(-50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.827 - 0.143. Let s = -0.19 - w. Let x = s + 2.22. What is the closest to -3\/5 in -0.1, x, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**4 - 202*v**2 + 6584*v wrt v.\nAnswer: 72*v**2 - 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55017913 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -2*h - 312. Let n = h + -117. What is the units digit of (-111)\/n - 2\/(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 4. Let h = 8 - 2. Let c be h\/(-8) - (-105)\/28. Let b be -1 - -2 - c - -2. Calculate x(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 567 - 2833\/5. Let v = -21 + 14. Let k = v - -5. Put i, -3, k in ascending order.\nAnswer: -3, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-10))\/((-3087)\/3969)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 1. Let d(k) be the first derivative of -2*k - 3\/2*k**2 - 3. Let i(f) = f**3 + 22*f**2 + f + 18. Let w be i(-22). What is w*m(z) - d(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zerrzzz. Give prob of picking 2 r and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 - 7 = 0. Let c = -10.17 + 0.17. Let x = c + 10.14. Sort -0.2, d, x in descending order.\nAnswer: d, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-20)*1891\/186 and -29\/48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*v - 1079*v + 771*v.\nAnswer: 55*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 26*m = -109, 188*g - 41 = 183*g + 4*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4860*k**3 - 7*k**2 + 7*k. Let x(i) = 3374460*i**3 - 4860*i**2 + 4860*i. Give 4860*u(r) - 7*x(r).\nAnswer: -1620*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.18, 0.5, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12706, -12649, -12592, -12535, -12478?\nAnswer: -12421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1517198 divided by -4?\nAnswer: 758599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 220754.39\nAnswer: -662263.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s - 2. Let h be q(-4). Suppose -w - 42 = -3*w + f, 3*w = -h*f + 70. Which is smaller: 20 or w?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 508.9102 millennia?\nAnswer: 50891.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62056 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102006585 a multiple of 3735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425633 is divided by 1127.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4915*a + 20. Let k(g) = g**2 - 22*g + 15. Let m be k(20). Let o = -13 - m. Let p be u(o). Round p to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/13)*z*z**(3\/2)\/z)**(-27))**(-32) assuming z is positive.\nAnswer: z**(15120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 43\/14, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-eight thirds of a week?\nAnswer: 3808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -161 * -35763.\nAnswer: 5757843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19791961 and 238.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 5\/2 (c) 1 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -796 or -786?\nAnswer: -786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24441 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110.9 - -110.9. Which is the nearest to 1? (a) g (b) 4\/7 (c) 1 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4099222 divided by 1?\nAnswer: 4099222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425950 is divided by 20282?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22422150 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(44) + -2*sqrt(44))**2 - sqrt(44) - sqrt(11)) + (1 + sqrt(44))**2) + (-2*((2*sqrt(99) + sqrt(99))*-2 + (sqrt(99) + 1)*1))**2.\nAnswer: -125*sqrt(11) + 9459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840795 + 5642717 = -9*u + 17*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117973880*w**3 - w + 64574238?\nAnswer: -707843280*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 2 s when four letters picked without replacement from ixgxbbsbsyx?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -7*r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5070 (base 8) to base 6.\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 minus -8212768?\nAnswer: 8212769.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 12*d - 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/17 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839827.\nAnswer: 191, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 29349597 times -0.2\nAnswer: -5869919.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 16 = 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:57 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5470639ug?\nAnswer: 0.0005470639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 15*s**2 - 11*s + 11. Suppose 27 = 4*y - 17. Let j = 23 - y. Let r be (-124)\/j - 2\/3. Let i(d) = 8*d**2 - 6*d + 6. What is r*i(k) + 6*n(k)?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 171207902 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 96 = t, 0 = -5*j + 11*t - 9*t + 160. Let k = -28 - -48. What is the remainder when j is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 143*j**2 + 191*j - 67280. Determine f(141).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {d: 2, v: 2, g: 1, t: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90 + 28 - 84 + 8)*(-g**3 - 3*g**3 + 6*g**3).\nAnswer: -276*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512.096ug in kilograms?\nAnswer: 0.000001512096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 + 271. Let b(r) = -r**3 + 6*r**2 + 23*r - 102. Let f be b(n). What is the greatest common divisor of 54 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 + 2*g**2 - 381 - 268 - 250 to the form i*g**2 + l + u*g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Calculate the remainder when 7 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000516 rounded to six dps?\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:42 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/4)\/((-16)\/(-32)). Let a(o) = -o + 1. Let g(u) = -u**2 + 12*u - 10. Let w(p) = f*a(p) - g(p). Give w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**3 + 6*p**2 + 27. Let n(s) = -15*s**3 + 13*s**2 + 53. Calculate -6*n(d) + 13*t(d).\nAnswer: -d**3 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002819 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60cd (base 14) to base 7.\nAnswer: 66346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**4 + 3*o**4 + 3*o**4 + 7*o - 2*o**4 - 7*o + (-3*o**4 + o**4 + 3*o**4)*(0 + 0 + 7).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12295*d + 4148*d + 4074*d + 72*d**2 + 4073*d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 92*o**2. Let n(b) = b**2 - 2*b + 3. Let t(d) = 2*d**2 - 6*d + 9. Let m(x) = 6*n(x) - 2*t(x). Calculate m(z(y)).\nAnswer: 16928*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.81775 seconds in milliseconds?\nAnswer: 56817.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2862)\/117 + 9 + -38 + 53\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 9*p**2 + 12*p + 12. Let s be n(7). Let v(t) be the first derivative of -t**4\/4 - t**3\/3 + 3*t**2\/2 + 3*t + 18. Determine v(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 10*u**2 + 23*u + 14.\nAnswer: (u + 1)*(u + 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -87, 20, 5, 1, 13 in descending order.\nAnswer: 20, 13, 9, 5, 1, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifyyfygfvfffgyf. Give prob of sequence fy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*(sqrt(220)*1 + sqrt(220)))\/sqrt(10))\/((sqrt(24)*-5)\/sqrt(3)))**2.\nAnswer: 176\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 8 (c) 1\/7 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**2 + 2*y. Let p(w) = 11*w**2 + w. What is 5*f(c) - 2*p(c)?\nAnswer: 8*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/5 + 27715728*u\/5.\nAnswer: u*(u + 27715728)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.22 + 31.22. What is the nearest to 1\/3 in g, 0.5, -14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 3\/7, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01306 and -0.21463.\nAnswer: 0.0028030678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-3*(-7)\/(-21)). Let m(q) be the third derivative of 4*q**2 - 1\/60*q**5 - 1\/8*q**4 + y*q**3 + 0 + 0*q. Find c such that m(c) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4513520 = -117*z + 4502171 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loykjyi. What is prob of sequence jioo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + p + 12 = -15*g, g - 6 = -3*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 + -169.4. Let w = 0.4 - 0.5. What is the biggest value in j, 1\/5, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - -2*sqrt(143)*-1) + -4*sqrt(143)*3 + sqrt(143))\/((5*-1*sqrt(110))\/(sqrt(10) + sqrt(90)*2)))**2.\nAnswer: 91728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 10. Suppose 3*g + 40 = a, 3*a = -g + 5*g + 60. Let b be z(g). Calculate the greatest common divisor of 29 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.78 + 0.22. Let n = 12 - 52. Let s = 359\/9 + n. Which is the smallest value? (a) o (b) -2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 5*r + 168 = 0. Let n = 15 + -10. Suppose h + r = n*h. Solve -5 = -h*t + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115464 divided by 283.\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 8 = 12*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c. Let o(q) = -45*q**2 - 137111*q. Give o(r(w)).\nAnswer: -405*w**2 + 411333*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -912*x + 9. Let w(f) = 114*f - 1. Let k(r) = 4*c(r) + 33*w(r). What are the prime factors of k(1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + l**2 - 2*l**3 + (-4*l - l + 4*l + (-2*l + 0*l + 3*l)*(3 - 4 + 3) - l + l + l)*(-2 + 2 - 2*l**2).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1563 + -927. Does 53 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 (base 9) in base 8?\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -22) + (1 - 3). Suppose -c = 6*o + 1. Is -1 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4\/5*z**3 + 12\/5*z**2 + 0 - 8\/5*z = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-3) + -3 + 3. Let a = 4 - v. Let y(h) = h**3 - 3*h**2. Let g be y(a). Is g at least -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s + 699 + 39 = 0 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in 0.3, 3, -0.5, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 5. Let i(u) = u - 1. Let r(w) = -f(w) + 6*i(w). Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-24)\/(-16) + 6\/4. Let g(t) = -4*t + 1. Let w(j) = j. Calculate i*g(f) + 9*w(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 233\/6 + -217\/12. What is the common denominator of a and 68\/26 - (-1 + 3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a - 6*a + 4*a - a + 4*a**2 to the form r + h*a + t*a**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -12*c + 14*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*s + 266*s + 257*s + 251*s + 250*s - 1282*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**4 + 32306*d**2 + 1 - 32312*d**2 - d**4 + 2*d**3 to the form t*d**4 + k + z*d + w*d**3 + j*d**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10540459 to the power of 1\/2, to the nearest integer?\nAnswer: 3247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from myzg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 588080 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 - 5*v - 7. Determine i(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3*h - 3*h)*(-5 + 0 + 6)*(-21 - 13 + 36).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12740062*y**3 - 68905*y**2 - 2*y + 84 wrt y?\nAnswer: -76440372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42 + 84)*((-5)\/2)\/5. Let h be 108\/j - (-1 + 6 - 11). Solve -3\/7*b**2 + h - 3\/7*b = 0 for b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 721*w - 27397. Determine h(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/12 - 5*d**3\/6 - 13*d**2\/2 + 25*d + 7. Give q(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k - 5*j + 32, 5 = 3*k + j. Suppose 0 = 4*n - k*n. Suppose n*u - 4*u + 92 = 0. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a meter in centimeters?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + i = -9, -27*o = -26*o - 9*i - 43 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 18*i + 38 + 26, i + 4*i = 2*i - 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135720 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n = 440, -m - 8*m + 24*m + 5*n = -0*m + 8*m + 10*m - 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38284 is divided by 1469.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -68*i - 371. Calculate a(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 269, 543, 817, 1091?\n\"Answer: 274*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*r**5 - 265*r**3 - 1641*r + 17 wrt r?\nAnswer: -480*r**3 - 1590*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -381401943*u**3*y**2 - 7*u**2*y**2 + 8656*u**2 + 51*y**2 wrt u.\nAnswer: -2288411658*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -0*i. Let z(k) = -2*k**3 - 5*k**2 - 2*k + 3. Let d = -2 - -4. Calculate the smallest common multiple of z(i) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18422*d*u**2 + d*u + 437820*d - 56*u**2 wrt u?\nAnswer: -36844*d - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 50*j**2 - 2*j - 103. Calculate c(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28742 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1249 - -1483. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007371 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/(2\/(-30)). Suppose 4*x = -v*x + 1395. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-7))\/(((-280)\/8)\/(-5)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -352926868 divided by 88231717\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.65 and 1705.321.\nAnswer: 1704.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -404, -239, -56, 151, 388, 661, 976?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/2 + 246*p**2 - 23530*p = 0.\nAnswer: 0, 130, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q + 164*q - 2903 - 3092 = -509 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8182, -8180, -8170, -8152, -8126, -8092?\n\"Answer: 4*z**2 - 10*z - 8176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 109*l + 4225762105 + 3177626895. What is l rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 2 + 24*m**5 + 31*m**5 + 4*m - 7 + 0 wrt m?\nAnswer: 1100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96623 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 383670461731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and 115\/115404.\nAnswer: 115404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1065)\/9585 + 164\/18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 - 321*y**2\/2 - 3327*y - 6000.\nAnswer: 3*(y - 125)*(y + 2)*(y + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 29*c - 80. Calculate r(7).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0*h**4 + 0*h**6 + 0 + 2\/15*h**7 + 0*h - 97*h**2 + 0*h**5 - 14\/3*h**3. Differentiate y(l) with respect to l.\nAnswer: 112*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 + (-5 - -2) - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -51*x + 808. Give s(15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 d when four letters picked without replacement from doopddd.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Suppose -a - 1 = -4*f + 11, -s = -5*f - 2*a. Find the second derivative of 0*v - 69*v**f + 2*v + 81*v**2 wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s**(2\/9)*s)))\/(s\/(s**(2\/15)*s)))**(-3\/4)*(s**(2\/13)\/(s*s**(-1\/2)))\/(s**1)**(-44) assuming s is positive.\nAnswer: s**(8168\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74 or 948\/13?\nAnswer: 948\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**2\/2 + 7. Let u(z) = -11*z**2. Give p(u(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14136 and 798.\nAnswer: 98952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.95025 to 2 dps.\nAnswer: -21.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 64819127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-78)\/1144*11)\/((-6)\/7448) is divided by 154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**5\/3 - k**4\/6 + 4*k**3\/3 + 20*k**2 + 2*k. Is 31 a factor of q(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 560 = -2*i + 4*i, -1400 = 5*i - 4*b. Let g = 641\/52 - 300\/13. What is the common denominator of 2404\/i - (-4)\/14 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + ((-220)\/(-16) - 0) and -59\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61.1 - 61. Let s(d) = -d**2 + 7*d - 2. Let r be s(5). Sort -4, h, r in increasing order.\nAnswer: -4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*y + 1022 = -149*y + 77 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 4. Let o be w(6). Let n be -1*(18\/(-3) + 3). Sort 0, o, n in increasing order.\nAnswer: o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(352)\/sqrt(11) - -2*sqrt(72).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (216\/(-70) + 3)\/((-54)\/(-36))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 1\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(3\/7)*l)\/((l\/(l*l*l*(l*l\/l**(-4)*l)\/l*l*l)*l)\/l))**(-5\/8) assuming l is positive.\nAnswer: l**(-405\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 11 = -w, -i + 5*w - 16 = -7. Let n = -4 - i. Let f be 14 - (-1 - n - -3). Solve 0*x + f = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105406712 is divided by 2693.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + -0.2. Let l(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + r**2\/2 - 2*r. Let q be l(-6). Sort o, q, 1\/2.\nAnswer: q, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -878*0.4.\nAnswer: -351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-12) + (-3)\/(-9). Let z = 6 + p. Suppose 12 = 6*m - z*m. Solve -m*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4497*l - 290334 = 287*l + 221554 for l.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2645082 hours in nanoseconds?\nAnswer: 952229520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*a - 2195*a**2 + 71*a - 33*a + 13 - 19 in the form t*a**2 + q + h*a and give t.\nAnswer: -2195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 1027002*x\/11 - 93364.\nAnswer: 2*(x - 1)*(x + 513502)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3 - 9*a**2\/2 - 14*a - 9. Let y be z(16). Suppose -2*v - v - y = -5*n, 0 = -5*n - 4*v + 575. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67 * -56655.91.\nAnswer: 3795945.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7dc (base 14) to base 2\nAnswer: -11000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + -1.2. Let r = 1 + g. What is the closest to r in -2\/9, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 986239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - v**2 + 3*v + 4. Let p be j(-2). Calculate the highest common factor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57426769?\nAnswer: 317, 181157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 143, 10, 0, -2, -3 in ascending order.\nAnswer: -3, -2, 0, 10, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 14. Solve 4*x + j - 20 = 0, 0 = x + w*x - j - 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 7*i - 1. Suppose i = 8*u - 71. What is the third derivative of u*l**2 - 18*l**3 + 35*l**3 - 21*l**2 wrt l?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6.21 (b) 0.4 (c) 0.2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11205 is divided by 1444.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15248 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: Four letters picked without replacement from xxyxxyxyyxxyxyyxyyyy. What is prob of picking 2 x and 2 y?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 17 + 111 = -2*d, -u - d = -33. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*t + 8*t - u, 3*t - 4*u = -15. Let a be (-194)\/(-97)*(-1 + 7 + t). Suppose 0*n + 240 = a*n. What is the least common multiple of 8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 59. Let s = h + 56. Suppose r + 0*r = -3*w + s, 2*w = r - 7. Calculate the remainder when 28 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 195308 and 631158.\nAnswer: 826466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -33, 3\/4879, -8?\nAnswer: 3\/4879","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3585593, 3585453, 3585315, 3585179, 3585045, 3584913?\n\"Answer: a**2 - 143*a + 3585735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, v: 5, l: 4, w: 5}. Give prob of picking 3 v and 1 w.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 205, 5, 3337 in ascending order.\nAnswer: 5, 205, 3337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -120*l**2 + 25*l + 25. Let h(n) = -74*n**2 + 140 + 59*n**2 - 137 + 3*n. What is -3*c(j) + 25*h(j)?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 781\/(-852)*12 - (-1 + (-8)\/(-1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-99)\/(-22) + -7).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:15 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 + 385\/33)*846\/56 - (-150)\/(-350).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500) - sqrt(500))**2 + sqrt(5) + 0.\nAnswer: sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17094 + 34186 - 17092 + 313806*x**3.\nAnswer: 313806*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 32 + 36. Let b = n - -39. Let f(v) = v**2 + 3*v - 8. What is the least common multiple of b and f(-7)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*4\/144)\/((-8)\/(-96))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 780107.6 millennia in centuries?\nAnswer: 7801076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 85. Let m(x) = 5*x - 2. Let y be m(1). Let t(z) = 3*z + 2. Let r be t(y). Solve -f = -5*u + u - r, f = -3*u - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/(-18)*2\/((-2)\/(-177)). Does 11 divide 33*1*d\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -508, -954, -1578?\nAnswer: -2380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2169\/3808 - -1\/544. Let n(r) = -r**3 - 3*r**2 - r. Let t be n(-2). Let a(p) = -2*p - 2. Let j be a(t). Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 - 2. Let l be p(-2). Let x be l\/(-8) + 6\/8. Let z(a) = 32000*a**2 - a + 1. Let v be z(x). What is v rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49202655 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -3*a**5\/10 + 111*a**4\/4 - 1213*a**3\/2 - 4329*a**2 - 9126*a + 423. Factor f(u).\nAnswer: -3*(u - 39)**2*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*t + 38 - 3, 0 = -h + 5*t + 30. Solve 7*g - 4*g - 4 = q, h*q - 4 = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(1060*m - 471*m - 1 - 2) - 3 + m + 3 + (5 - 3 + 0)*(-m + 2*m - 2*m) - m + 3*m - 3*m + 8 - 8 - 2*m.\nAnswer: -1182*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 191\/(-6) - (-12 + 1281\/126)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 25, o + 32182 = 5*x - 36248. Suppose 39*n - x = 4*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42526*c**3*k - 187*c**3*w + 22*c**2*k + 619*k*w - 8*k + 3*w wrt c.\nAnswer: 255156*k - 1122*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 0*s + 3*s + 3 + (-s + s + 2*s)*((3 - 3 - 2)*(2 + 4 - 3) - 1 - 3 - 7).\nAnswer: -33*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 115 - 5800 - 494*c + 2*c**2 - 4*c**2 + 491*c.\nAnswer: -2*c**2 - 3*c - 5833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 8*r + 3. Let h be m(-9). Let l(b) = b + 5. Let s be l(h). Which is smaller: s or -4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d*h**5 - 5*d*h**3 - d*h*n**3 + 3*d*h*n**2 + 6*d*n**3 + 6*h**3*n**3 + 2*h wrt h.\nAnswer: 20*d*h**3 - 30*d*h + 36*h*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-13394\nAnswer: -2678.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -701, -3729, -11379, -25961, -49785?\n\"Answer: -385*n**3 - n**2 - 330*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0419b8 + -5?\nAnswer: -a041a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 89 + (6 + -3 - 11) + -1\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 111, 191, 289, 411, 563, 751, 981?\n\"Answer: z**3 + 61*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1405.3 to the nearest ten.\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 45. Let j be s(-8). Find the third derivative of -54*t**3 + 21*t**2 + t**2 + 24*t**j wrt t.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-26))\/((-21518)\/4823)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 215265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 2 (c) 2299 (d) -3\/19 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 3. Suppose -13*l + 8*l + 4*a = 4, 4*a = -5*l + 4. Give s(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162\/(-612) + (1 - -4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1176167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2745 - 282733\/103. Let w(u) = -u**2 + u + 41. Let z be w(7). Which is bigger: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/88 in 0.4, 35, 2\/7, 2\/3, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*u)*(-209*u + 78*u - 256*u)*(4*u - u - 4*u) in the form g*u**3 + o*u**2 + r + i*u and give g.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -500832 by 6956.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*s - 56528, -35*s + 38*s = 5*u + 33894. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 17*b - 3. Let n be f(1). Suppose -l = -0*l + 154. Let t = l + 280. Calculate the highest common factor of n and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.2 - -20. What is the third smallest value in -50, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 4\/2) + 8. Suppose -5*t = u + 15, h*u = 3*u. Let o = 3 - 4. Sort -5, o, t in decreasing order.\nAnswer: o, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147435807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.400098 - 32.4. Round d to six dps.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 57*i - 11. Let j(a) = -19*a + 4. Determine 17*j(q) + 6*l(q).\nAnswer: 19*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 20 = -2*o - 492, -l + 152 = 2*o. Calculate the remainder when l is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 2, -2\/53 in decreasing order.\nAnswer: 2, 0.5, -2\/53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 j when three letters picked without replacement from {x: 2, s: 3, j: 6, e: 4, k: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/49406 and 89\/105?\nAnswer: 741090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 14*n**2 + 14*n + 14. Let l be p(-13). Suppose -b - 4 = -t - 4*b, b = l. Let j(f) = -f**3 - 6*f**2 - 5*f. Let i be j(-5). Is t < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149328 by 5.\nAnswer: 149328\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1922603 to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 325 + -312. Let w(u) = -7*u**2 - 50*u - 6. Let g(l) = 15*l**2 + 100*l + 13. Give c*w(p) + 6*g(p).\nAnswer: -p**2 - 50*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3*(-2)\/(-60). Let k be 153\/66 - (-975)\/(-390). Let q(u) = -u**2 + 7*u - 5. Let n be q(5). What is the biggest value in b, -1, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -0.08843239.\nAnswer: -1.94551258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, 1, 6, 23, 58, 117, 206?\n\"Answer: i**3 - 3*i**2 + i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.1 + 3.6. Let u = -1.5 + w. Which is the closest to -8? (a) 4 (b) -3\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -25, -73, -167, -325, -565, -905?\n\"Answer: -3*w**3 + 4*w**2 - 11*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t**3 - 6*t**2 - 12*t + 10. Let m(i) = 13*i**3 - 11*i**2 - 24*i + 25. Let x(d) = -5*f(d) + 2*m(d). Determine c so that x(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2120 is divided by 177.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = -6, l - 41 = 5*k. What is the remainder when 100\/(20\/(-5))*-3 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2111100100000120?\nAnswer: 2111100100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -341055 minus 46603?\nAnswer: -387658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*(((v*(v\/(v**22*v))\/v)\/v*v)\/v)\/v))\/v))**(-33)*(v**(-2\/51))**(-3\/28) assuming v is positive.\nAnswer: v**(172789\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**1*v*v**8*v*v*v**(-4\/3)*((v*(v*(v*v**4)\/v*v*v)\/v*v*v)\/v**(3\/10))\/((v\/(v*v**7\/v))\/v*v*v**(-4\/5)\/v) assuming v is positive.\nAnswer: v**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, 4\/81, 0.5, 1.97 in descending order.\nAnswer: 6, 1.97, 0.5, 4\/81, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1207*x**4 + 1206*x**4 + 140 - 4*x - 147 - 2*x**3 - 2*x**2 to the form p*x**3 + h*x**2 + s + b*x**4 + y*x and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -421 (base 10) to base 6.\nAnswer: -1541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r + 433 - 2868 + 5*r**2 - 4*r**2.\nAnswer: r**2 + 21*r - 2435","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, b: 6}. What is prob of picking 2 a?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 29*b - 952. Determine p(25).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7 - 2*o**3 + 2*o**3 + o**3. Let l be j(0). Let f = -7 - l. Solve f = 2*h - w + 3, 4*h + 2*w - w = -21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0, -0.5, 1\/8, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-324)\/(-729) + 19\/18. Which is the closest to 2? (a) 2.3 (b) 0.2 (c) y (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8475 is divided by 257.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 420*q - 6484. Let h be p(16). What is the greatest common divisor of h and 4779?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -1, 3\/10, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/3)*a\/a**13)**(5\/8)\/((a\/(a**(3\/11)*a)*a*a**(1\/6))\/(a*(a*a*a**(-1\/2))\/a*a*a*a**1)) assuming a is positive.\nAnswer: a**(-153\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 256 + -1025\/4. Sort -3.9, 5, t in descending order.\nAnswer: 5, t, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1028 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-24)\/21)*-14*(-30)\/(-21315)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13441*z - 13437*z = -40 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24 - (-2048)\/(-80) - -2. Suppose -4*i = i - 3*z - 444, -2*z = -2*i + 180. Is i smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + -16. Suppose -630 = -4*k - 194. Let n = k + a. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-3))\/((-6)\/(-9)). Let d = c - 9. What is the remainder when 19 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -204? (a) 4 (b) -2\/3 (c) -0.04 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 (base 14) in base 10?\nAnswer: -1666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-21) + 90\/154.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*11\/(-132)*2)\/(2\/1920*4)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 2*s**5\/5 + s**4\/12 - s**3\/6 - s**2 - 358*s. Suppose 0 = 13*h + 3 + 10. Calculate g(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2. Let z(j) = 1. Let o(v) = -6*m(v) + 11*z(v). Let c be o(-1). Suppose -c*k - 1 = -4*k. Let t(g) = 11*g**3 + g**2 + g + 1. What is t(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -4. Let q be (7 - 4)*(-4 - -1). Let y = q - s. Let i(m) = -m**3 - 5*m**2 - 7. Give i(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38782 is divided by 4846.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -62 from -23732319.\nAnswer: -23732257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 13*r + 51. Let i(k) = k**2 - k + 28. Let w be i(0). Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154481, 154487, 154495, 154505, 154517?\nAnswer: 154531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*u + 70, -2*s + u = 2*u - 26. Suppose 2*f = 6*f - s. What is the least common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2908*f - 1355*f = -174783 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1862) + 1*sqrt(1862))*-1*5)\/(-6*(-2*(sqrt(288) - (-2*sqrt(288) + sqrt(288) - sqrt(288))) + sqrt(288))).\nAnswer: 7*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3611 - 3606. Solve 5*a + f = 0, b + 7*a = 4*a - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 185*z**7\/21 + 131*z**4\/12 - 2551*z**2. Find the second derivative of x(f) wrt f.\nAnswer: 22200*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-396)\/462 + (-2 - (-95702)\/14)?\nAnswer: 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from gggngengpny?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -10*z**4 - 25275*z**3 - 15888210*z**2 + 104267765*z - 48158670 = 0.\nAnswer: -1267, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - ((2 - 3) + -1). Suppose 4*p - 8 = -g. Suppose 5 = p*n - 47. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-42))\/(-32 + 70*330\/735)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = -0*c. Let y = c + 6. Calculate the lowest common multiple of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + (363 + -378 - (4 - (9 - 5) - 10)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 670*z**2 + 18*z - 5. Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5477*h + 2733*h + 2764*h)*(-3 + 2 + 2) + 3*h - 4*h - h - 3 + h + 3 + 4*h - 5*h + 2*h + (-2*h + 0*h + h)*(0 + 2 - 3) to the form x*h + z and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 654.5 + -308.7. Let f = -293 + z. Round f to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z + 293 = 2*b, 5*b - 755 = -3*z. Let t be (b\/33)\/((-2)\/3). Is 23 a factor of (-151 - 3)\/(t - -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690.2 minus 5?\nAnswer: 4685.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 1:21 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.156644 (b) -3 (c) -2\/15 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 24. Let p(j) = 4*j - 28. What is -6*a(s) - 5*p(s)?\nAnswer: 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4045.43m?\nAnswer: 404543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 130. Suppose a*v + 11594 = 14*v. What is v rounded to the nearest ten?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(68))**2 + 3 + -3 + sqrt(1377) + -1 + -2*(-3 + ((sqrt(1088) - sqrt(1088)*-2*6)**2 - sqrt(1088)) + sqrt(1088)).\nAnswer: -367669 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and -67\/19302.\nAnswer: 193020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 20 - (21 + -20 + 6).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119696 is divided by 1185.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1258 = 5*p, p - 2*m = 3*p - 506. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5020740289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -1. Which is bigger: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 247 = 3*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -28)\/((-43)\/(-129))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 2)\/((-111)\/(-54) + -2). Calculate the greatest common factor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 5. Let c(p) = 2. Let f(k) = 5*c(k) + 2*x(k). Let u(t) = -19*t + 6. Let g(d) = -36*d + 10. Let y(r) = 3*g(r) - 5*u(r). Determine y(f(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(200) + (-2*(sqrt(200) - sqrt(200)*-2) + sqrt(200) - sqrt(200) - sqrt(200)) - -2*sqrt(200)*2)**2.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-22375)\/35 - 3) + (-2)\/(-7). Let o = l + 767. Calculate the highest common factor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -382*y + 32. Is c(-1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 39*c**2 + c + 1. What are the prime factors of z(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 44.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.1. Let j(y) = 2*y**3 - 48*y**2 - 49*y - 28. Let g be j(25). What is the nearest to 0.1 in r, 0.4, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6719.912ml to litres.\nAnswer: 6.719912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-531)\/(-126) - ((-356)\/(-28) + -2 - (2 - -9)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 108692.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 27*o**3 + 45*o**2 - 21*o.\nAnswer: 3*o*(o - 7)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228014 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555*b = -4554*b - 3866. What are the prime factors of b?\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/407 or 0?\nAnswer: -17\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 21, 71, 161, 303?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z + 4*z)*(3*z + 0*z - z) + 0*z**2 + 0*z**2 - 3*z**2 + (5*z + 0*z - 3*z)*(-3*z - 2*z + 4*z) - z - 8*z**2 + 5*z**2 + 2*z**2 + 3.\nAnswer: 2*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.4 - 4.108. Let g = k - -0.045. Let l = g - 0.3. Round l to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.175 + -7926\nAnswer: -7924.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11180, 22457, 33834, 45305, 56864, 68505?\n\"Answer: -z**3 + 56*z**2 + 11116*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 29771, 59482, 89195, 118910, 148627, 178346?\n\"Answer: d**2 + 29708*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*z - 2947 - 2356 = 1175 for z.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + -6 - -1*2. Let s be (-26216)\/84 + (-28)\/21. Let x = s - -314. Put 2, x, k in decreasing order.\nAnswer: 2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6976 and 981.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -25*l + 2. Give w(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.5 + -5. Let j = a + 0.5. Let m = j + 2. Put -0.5, m, 2 in increasing order.\nAnswer: -0.5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.0415 to 0 dps.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/60 and -50\/429.\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*f**2 + 14*f + 1 - 11*f - f to y*f + g*f**2 + r and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -380026201563 and -23.\nAnswer: -380026201586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * -1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkwwkwkwwwwwkww. What is prob of sequence wkkk?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 286193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -1, 0.3, -176706\/13, -4\/61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 49812*p + 49790*p - 2*p**3 - 23 in the form a*p**3 + b*p + v*p**2 + t and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (29 - (-10295)\/(-3451) - 26)\/((-12)\/(-21))\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98 - 118 - (-11 + 1)) + 9 - (-41 - -7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, o: 4, h: 3}. What is prob of picking 1 b and 1 o?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73508.\nAnswer: 2, 17, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 2 + (-2 - -2). Suppose -d*c + 25 = -2*c. Suppose -2*o - 3 = 7, o = -2*r - c. Which is smaller: r or 2\/35?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 0*y**3 + 7\/2*y**2 + 0*y + 0*y**4 + 14 - 5\/3*y**6 + 0*y**5. What is the second derivative of s(u) wrt u?\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/15 and 5\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/(-6) + 3\/9. Let l be (1 - -3)\/(-4)*x. Suppose 2 = n + 5*o, -4*n = 5*o - 0*o - l. Solve 10 = 8*a - 3*a + n*v, 2*v = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 97.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Let i(b) = 12*b**2. Let j(v) = -i(v) + 10*y(v). Let q(s) = 193 + 16*s**2 - 193. Determine j(q(u)).\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677929329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3 + sqrt(242))*-2 - sqrt(242) - (2 + sqrt(242) + -5) - (3 + -4 + sqrt(242)*2 + -2))**2.\nAnswer: 8717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 3*(-85)\/(-36) and -29\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-19)\/(-3))\/(28\/3012). Let h = -465 + y. Which is greater: 2 or h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 367.\nAnswer: 4037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -567 + 571. Suppose 8*x + 17 = 9*x + b*z, -z + 32 = x. Is x < 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g = 5*g + 1200. Let k = -79 + g. Suppose -2*b + 3 + 1 = 0. Solve -b*j + j + k = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8.075061nm to micrometers.\nAnswer: 0.008075061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772885650 rounded to the nearest one hundred thousand?\nAnswer: -2772900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, c: 2, p: 9, b: 5}. What is prob of picking 1 b, 1 p, and 1 c?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 13 = 11. Let a(o) = -3*o - 1. Let i be a(-1). Calculate the highest common factor of i and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 287 and 13612?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11505481 (base 9) in base 14?\nAnswer: -a61b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6452\/115 or 56?\nAnswer: 6452\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 15*g = 72181. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s*(s\/s**(-1\/7))\/s)\/s)\/(s*s**(-5)))\/(s**0)**(1\/40))\/(s*s**(-5)*s**(2\/3)*s\/s**(-1\/4)*s*(s\/s**(1\/4))\/s) assuming s is positive.\nAnswer: s**(157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-334 + 334 - 78*m)*(-5 - 4 + 4) + 7*m + 5*m - 3 - 8*m.\nAnswer: 394*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/11 and 19\/41?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 330 + 4?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (38*(-17)\/1292)\/(1\/48)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w, 2*i - 36 = -3*w + 4*w. Suppose -u = -4*t + i, 3*u + 2 = -t + u. Let p = 23 + -11. Solve -t*m + p = 0, m - 1 = f - 0*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -69*x**3 + 4*x**2 - 4*x + 32. Let q(y) = 70*y**3 - 5*y**2 + 6*y - 40. What is 4*q(a) + 5*w(a)?\nAnswer: -65*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49326.3 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -71*d + 28. Let w(s) = s**2 + 10*s - 42. Let i be w(-13). Is 18 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 3*t - 3*t + (0*t - 5*t + 3*t)*(-5*t + t + 2*t) + (-t - 1 + 1)*(-112 - 259*t + 112).\nAnswer: 262*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = -7. Let m = 38 + -26. Suppose -10 = -4*q - o, 5*q + n*o - m = -1. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 631165077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 15, 26, 37, 48?\n\"Answer: 11*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1365329305 or 0?\nAnswer: 1\/1365329305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 0*z - z)*(-2*z - 6*z - 9*z).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1021*c - 1019*c - 2*y - 20, -3*y = 21. Solve -68 = -c*z - 31*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3884599284 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 133310?\nAnswer: -133313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2*(3 - -3). Let k(v) = v**2 - 7*v + 7. Calculate the remainder when 1 is divided by k(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6}. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8)\/4 - 13\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035662 a multiple of 471?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 534 and 148110.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6907458 divided by -5?\nAnswer: 6907458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-25)\/(-15))\/((-5)\/(-165)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + 2. Suppose 3*x - q = 9. What is the remainder when 52 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4376612 divided by 4.\nAnswer: -1094153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13122.6031 rounded to the nearest 10?\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzfzzzzzzz. What is prob of picking 4 z?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -24. Suppose 5*y = -i + 28. Differentiate 4 + y*a + 1 - 11 with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-133)\/57*4\/(-70).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4) + (-14)\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 64*g**5 - 288*g**4 - 7068*g**3 - 19604*g**2 - 8496*g - 1008 = 0.\nAnswer: -6, -3, -1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5, -2*r = -3*r - 2*a + 465. Is r a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582518191.\nAnswer: 582518191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1569894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904) - (sqrt(2904) + sqrt(2904)*1 + sqrt(2904) - sqrt(2904))*-6)*6)\/((sqrt(96)\/sqrt(2))\/sqrt(4) + (sqrt(12) - sqrt(12)*1)*3).\nAnswer: 858*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, h: 1, r: 1, q: 3, n: 4, d: 3}. Give prob of picking 1 d and 2 w.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299 - -645. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 19 = -3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 3*o + 1340. Let z = 485 - o. Is 50 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103303 + -113?\nAnswer: 103130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92130*p + 46070*p + 46060*p - 2*p**2 + 11 - 4.\nAnswer: -2*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -1. Let s(j) = -j**2 - j + 1. Let d be s(u). Let x be -1 - -3 - 6\/(-18) - 3. Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 - (14 - (-6 - (14 + -25))) - 3\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w + 32*w = -14108. Let z = -21211\/6 + w. Find the common denominator of ((-286)\/30)\/(4\/10) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3295)\/220 + (-21 - -15) + (13 - -8)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13891840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7990629.\nAnswer: 3, 17, 156679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let s = v - 4. Suppose s*c = c - 7. Solve -3*n + 9 = -3*h, c*n - 2*n - 2*h - 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 1602.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xokokxoxkxoookok. Give prob of picking 2 o and 2 k.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -10*g + 5*g + 11 - 10*g + 3 - g**2. Let d be m(-16). Is (1\/d)\/(-1 + 5043\/5046) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5\/7 - 160*q**4\/7 - 2690*q**3\/7 + 20140*q**2\/7 - 43000*q\/7 + 29584\/7.\nAnswer: -2*(q - 2)**3*(q + 43)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 150 + -150. Which is greater: q or -1299?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 607 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/169 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((76 - 68 - (3 - 2)) + -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1023932?\nAnswer: -5\/1023932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*w - 2*f, -13*w + 3*f = -17*w + 10. Let m = -100 + 102. Solve -3*n + w = m*h, -h - 4*n = -5*n + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 111*g**2 + 713*g - 1560. Give u(-104).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21611100 rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18a (base 14) to base 13.\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 = -19*d - 417. What is the least common multiple of 484 and d?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 215.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**4\/3 + 98996*h**3\/3 - 272414736*h**2 + 751676708160*h - 12699938191104 = 0. Calculate h.\nAnswer: 17, 8244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -400, 0, -31135\/9 in descending order.\nAnswer: 0, -400, -31135\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 1, -5 in descending order.\nAnswer: 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) -5.4 (c) 86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1 - 10 - ((4 - (19 - 16)) + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -819 - -1736. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:30 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -12 - -16 - -34.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -0.1. What is the fourth biggest value in -0.4, 2\/5, 8, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y**(-5)*(y**(-2\/9)*y)\/y*y*y\/(y\/(y*y*y**6)))\/((y**6\/y)\/(y*(((y\/(y\/y**(3\/4)))\/y)\/y)\/y)*y**(-4)*y*y**1) assuming y is positive.\nAnswer: y**(331\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11585.6114 - -2065\nAnswer: 13650.6114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0558 (b) 4\/7 (c) -1.8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-150))\/1)\/(-27*17\/(-2295))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20364, 21089, 22264, 23883, 25940, 28429, 31344?\nAnswer: 34679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/(-2) - 3\/6. Let z = t - -40. Let h = z - 19. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 15. Suppose -2*r + j = r, n + 4*r = 322. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*r - 1 + 21, -3*r + 50 = 5*s. Let p(q) = -q**3 + 6*q**2 + 6*q - 10. Calculate p(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 21. Suppose -3*g + 5*c = -z - 29, g + c - 9 = 0. What is the lowest common multiple of 2 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - j = -0*j + 92, -235 = -5*c + 5*j. Suppose 47*w = c*w + 8. Do 8 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 139*c**2 - 64*c + 917. Does 52 divide b(-69)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -19 + 9. Find the third derivative of -20*h**5 + 21*h**2 - 11*h**2 + 2*h**v wrt h.\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*2*-4)\/((2*sqrt(864) - sqrt(864)) + sqrt(6)) + (-2*sqrt(119)*-2)\/(sqrt(42)\/sqrt(150)))**2.\nAnswer: 1088153\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + -2 - 4*sqrt(12)*3)*5 + -3.\nAnswer: -40*sqrt(3) - 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 128 + 16. Is 3 + -2 + 4 + z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172693850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 110710240 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -5. Let z be (t\/(-3))\/(4\/(-12)). Suppose 8*v - v**2 + 6*v**2 + z - 3*v**2 = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zji when three letters picked without replacement from zjcijjjcjiczjijjj.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 2. Let f be n(6). Let p = 9 + -5. Let k = -2046 + 2048. Solve p + f = -k*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075347 to four dps.\nAnswer: -0.0753","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsygggssy. What is prob of sequence yys?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 87860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/233 + 225\/1864. Sort o, -3, -3\/2, 0.5.\nAnswer: -3, -3\/2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 12, -3*x = -2*f + 20 - 68. Calculate the lowest common multiple of x and (4\/(-6))\/((-7)\/42).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Suppose 40 = 7*l + 13*l. Solve v*n - l - 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41447, 82894, 124341?\n\"Answer: 41447*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396313 = -24*d + 2885089. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6 = 3*p, -2*a - 11 = 2*p - 17. Let j be (1 + 3)*13\/4. Suppose k - 5*u - a = -j, 3*k = u + 12. Solve -k = -4*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from tthtwwtthtttwttohoh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(152) + (sqrt(152) - (sqrt(152)*-2 - sqrt(152)))*-4 + sqrt(152) + (sqrt(152) - -2*sqrt(152)*2)))\/(sqrt(88)\/(sqrt(275)*-6)*3).\nAnswer: -360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*u**2 + 34087030*u - 49415476 wrt u.\nAnswer: -4*u + 34087030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 25*r - 400. Calculate the remainder when 48 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002468 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(5*-2))\/((-40)\/25)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -80\/17, 0.1, 3, -1\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1572 = -8*h + 428. Suppose 199 + h = r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 101 + 78 = -110. What is the biggest value in -2, v, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p**2 - 19*p**2 + 6*p**2 + (-6 + 1 + 4)*(-214*p**2 + 84*p**2 - 94*p**2) + (0*p + 0*p - p**2)*(-4 - 2 + 4) to t*p**2 + g*p + d and give t.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 not equal to -1438\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 5*r + 1. Let b be m(-8). Suppose 0*s - 2*d = s + 4, 5*d + b = 5*s. Solve 10 = -0*h - s*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9188259 or 9188262?\nAnswer: 9188259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 160\/14 - 12\/28. Let n be (w\/2)\/((-8)\/(-48)). Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2 + u - 1 + 5. Let c be b(-5). Solve 0 = -l + 3 + c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/251 at most -89.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 3 = 54*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249393 is divided by 122573.\nAnswer: 4247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -13.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2248\/1315 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421.1933mm to kilometers.\nAnswer: 0.0004211933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410*m - 390*m = 40. Let n = 117 + -111. Solve 0 = -m*t + 3*z + 11, -2*t + 2*z + n = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/21)\/((-177)\/(-17346))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6*x + 2*x - 76, -5*b - 122 = 2*x. Let u = -18 - b. Is 13 + u\/(-4)*2 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04677523 rounded to four decimal places?\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*((-325)\/164 + 2). Is -1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149147225 divided by -1949\nAnswer: 76525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 f when three letters picked without replacement from {i: 3, v: 2, j: 7, g: 1, n: 2, f: 3}?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -34. Let f = o - -18.07. Let z = 0.04 - f. What is z rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**2 - 69 + 13*j**2 + 130 - 61 + 83*j**2 - 88*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(425))*6 - sqrt(187)\/(sqrt(22)\/sqrt(98)).\nAnswer: -6 + 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*q - 4*r, 5*r - 15 = 2*q + 3*q. Suppose -p + 2*z + 1 = 2, 4*z - 16 = q. Solve 0 = 3*a + 4*t + 6, -t = a + 2*t + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m**2 - m)*(5*m - 4*m + 15*m) + 2*m**3 + 2*m - 2*m.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60\/613 - -35327\/8582. What is the common denominator of 73\/6 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + d - 12*d**2 + 10*d**2 - 2*d + d**2.\nAnswer: -d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4464377759?\nAnswer: 14551, 306809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6082616.9 to the nearest 10000.\nAnswer: 6080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3145 and -1.\nAnswer: -3145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 + -2975580?\nAnswer: -2975592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 117.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 55, 294 in descending order.\nAnswer: 294, 55, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 20976, -6, -3, 4 in descending order.\nAnswer: 20976, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 254961808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 47*w - 372. Let t be j(-62). What is the highest common divisor of 54 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**2*(i**(22\/7)*i)\/i assuming i is positive.\nAnswer: i**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3501148230?\nAnswer: 2, 3, 5, 38901647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f + 26. What is l(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4102450982 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*u**3 + 2*u**2 - 2*u + 2*u - 164*u**3 as r*u**3 + a*u**2 + j + b*u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158.41 - -162.41. Which is the nearest to -0.2? (a) -7\/6 (b) -7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 1:23 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 201, 196, 191?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - o - 5. Let w be a(4). Let x = 11 - w. Suppose 5*s - x*g - 30 = 0, -2*s + 3*g = -5*s + 18. Calculate the greatest common divisor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 71553.605\nAnswer: -71553.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 113, 125, 145, 173?\n\"Answer: 4*v**2 + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2577695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 51*m + 17. Let d be g(4). Let z(k) = -k**2 - d + 9*k + 221. Let h be z(9). Solve h = 3*u - 0*u + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -7. What is the first derivative of -p - 2 + 3 - b wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 12:28 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-55)\/(-11))\/(-5)*-143. Calculate the greatest common divisor of 104 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473220*h + 149077*h - 337912*h - 347066*h.\nAnswer: -1009121*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -4. Let l be j*1 + (7 - -3). What is the second derivative of -16*i + l*i + 5*i**5 + 15*i wrt i?\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {f: 2, z: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13333049 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23478219 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 4*p - 4. Let j be x(4). Let y(l) = l**2 + 2*l - 3. What is the units digit of y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 x when three letters picked without replacement from {x: 2, g: 3, l: 1, b: 1, j: 1, n: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.5, -2\/719, 3, -2\/11, 2\/429?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 2 + sqrt(13) - sqrt(13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 657641255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332 - 276. Is l less than or equal to 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -3 - -39 - 96?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3065, -6133, -9203, -12275, -15349, -18425, -21503?\nAnswer: -24583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*n**2*q - 3735*n**2 - 3*n*q - 2*n - 7*q + 63971 wrt n.\nAnswer: -14*n*q - 7470*n - 3*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*x + s - 17, 2*x - 4*s - 18 = 0. Let t(a) = -2*a**3 + 10*a**2 + 3*a - 2. Let h be t(x). Calculate the greatest common factor of h and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -8941274.\nAnswer: 23\/8941274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/32 and -71\/152818488.\nAnswer: 611273952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 368 - 348 = -4*j, 3*i + 5 = j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 781\/3 - 257. Let g(l) be the first derivative of 7*l - 3 + 0*l**2 + q*l**3. Differentiate g(c) with respect to c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20580)\/162925)\/(15\/50).\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -22. Suppose 0 = -3*n + u + 2. Let r**3 - 2 - 2*r - 9*r**3 - n*r - 16*r**2 - 2*r**2 = 0. Calculate r.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 26*i + 48. Let w be x(2). What is the nearest to w in -40, -0.1, -3\/5, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l**2. Let x be -5 + 2 + (-145)\/(-10)*10. Let a(t) = -142 + x - 9*t**2. What is a(z(j))?\nAnswer: -576*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/8*j**4 + 0*j + 0*j**3 - 6*j**2 + 0*j**5 + 3\/40*j**6 + 0. What is the second derivative of u(b) wrt b?\nAnswer: 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 4. Suppose 2*q + z = 6*q. What is the second derivative of -14*t**2 - 11*t**4 + 3*t + 14*t**q wrt t?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2969119 and 4427.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (4 + -4). Let m = 218022.069 - 218022. Which is the third smallest value? (a) m (b) g (c) 0.3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 p when three letters picked without replacement from pfyffddfpfffypf.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167671 divided by -1167671?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 28*f**2 - 91*f + 649. Determine y(17).\nAnswer: 2281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000887634656 to seven dps.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6 minus 163.8?\nAnswer: -283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiii when four letters picked without replacement from {i: 9, z: 2, a: 2}?\nAnswer: 42\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-6 - -11 - (-3 - (2 + -7))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffffoffbffff. What is prob of sequence fbo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -4*m - 5*n, -40*m - 391 = -43*m + 5*n. Let k be 6\/(-2 + (-15)\/(-7)). Suppose k = 4*b - 2*b. Calculate the remainder when m is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -9.9316292?\nAnswer: -9.9316292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 24. Let q be 13\/(65\/(-10))*-2. Suppose -5*m = -j - q. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442 times -1\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 14. Let i be 224\/105 + b\/15. Suppose 112 = i*d - 24. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = i + 4*i. Suppose h - 5*f - 28 = 0, 0 = i*f - 7 + 3. What is the remainder when 147 is divided by h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/21 + 1\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 + 2. Let h = 51 - 51. Suppose -7*n + 13 + 1 = 0. Which is the nearest to h? (a) r (b) 2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-40 + 2 + -20) - 15\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.097812228 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 9, 1, 335\/6, -2040 in increasing order.\nAnswer: -2040, -2\/19, 1, 9, 335\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/5 - 12309*z**4\/5 - 30849*z**3\/5 + 78767*z**2 + 1311351*z\/5 + 110826 = 0. Calculate z.\nAnswer: -5, -3, -1\/2, 6, 6157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 + (10 - (8 + -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 2, u: 2, k: 3}. What is prob of picking 2 a and 2 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 51 + 428?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.015802613 - 1.01585. Round w to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - -37.1. Is d greater than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a factor of 1710125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = v - 2, 3*v - y - 4*y = 20. Suppose 3*j - v*j = -74. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 19*o**2 + 5*o - 9. Let m(c) = -2*c**3 + 41*c**2 - 11*c + 19. Calculate -5*b(r) - 2*m(r).\nAnswer: -r**3 + 13*r**2 - 3*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 0.1, -8\/7, 3\/4, 1, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*o - 23*o + 5*k - 17, -k + 7 = -4*o. Put -5, -3, 1, o in increasing order.\nAnswer: -5, -3, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4527.164us in milliseconds?\nAnswer: 4.527164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114084, -114080, -114076?\nAnswer: -114072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 21.5\nAnswer: 8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/9029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -50, -69, -84, -95, -102?\n\"Answer: 2*r**2 - 29*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 336, -0.5, 2, 244 in decreasing order.\nAnswer: 336, 244, 2, 0.22, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.21 (b) 1\/2 (c) -1\/3 (d) 2\/127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 + 5*b - 2. Let l be a(4). Let y be (3696\/(-18))\/(l\/(-6)). Let h = y + -263. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.38017 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -177.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-1) - 33\/3. Let y = 17 + v. Let w(j) = j**2 - 127*j + 373. Let d be w(3). What is the highest common divisor of d and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 24296814.26\nAnswer: 24296814.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*o = -128, 0 = -4*p - 5*o + 2*o + 261. Let q be (-33)\/p*(-8 + 2). Factor 1\/9*w**q + 0*w - 4\/9 + 1\/3*w**2.\nAnswer: (w - 1)*(w + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8205 - 4?\nAnswer: 8201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(192) + sqrt(12))\/((sqrt(4) - sqrt(12)\/sqrt(3)*-1 - sqrt(4)) + sqrt(4)) - (-1*(1 + sqrt(33)\/sqrt(539)))**2)*2.\nAnswer: -53*sqrt(3)\/7 - 104\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16217 (base 11) to base 8\nAnswer: -54547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let y(j) = j**2 + 10*j - 12. Let z(k) = -4*v(k) - y(k). Suppose -424*h + 261 = -453*h. Give z(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38433 is divided by 3238.\nAnswer: 2815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16254 and 3402?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 5*s**2 - 3*s - 4. Let k(u) = u + 1. Suppose 85 + 231 = 79*v. Determine v*k(t) + i(t).\nAnswer: 5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77*i**6 + 398*i**5 - 73389*i**2 + i wrt i.\nAnswer: -9240*i**3 + 23880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 2*i + 2 = 0, 16*i = 14*i + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/602340 and 19\/30117.\nAnswer: 602340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*y + 23260, 4*y - 2*n - 26603 + 3347 = 0. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f + 12. Let s(v) = -5*v - 12. Let d(x) = 6*i(x) + 7*s(x). What is d(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.026592*8\nAnswer: 0.212736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0476 * -1655.\nAnswer: -1733.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-14 - (0 + 12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/(-170)*((-15)\/3)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 289965452 to the nearest integer?\nAnswer: 17028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/2479 + -195877\/29748. What is the common denominator of n and -95\/428?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 20. Let y = -3\/10 - 1\/5. Which is the second biggest value? (a) y (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10 - x**4 - 4 - 119*x**2 + 165*x**6 + 132*x**2 + 6 wrt x.\nAnswer: 19800*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + 0 + 10 + 0 - y - 2*y. Let p be s(4). Calculate the greatest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-12)\/(-270)*1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 52.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from {u: 2, r: 3, q: 11, b: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**2*r - f**2 + 5*f*r + 38*f + 3550*r wrt f?\nAnswer: 2*f*r - 2*f + 5*r + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141380 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 18, 3, -132, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41851 - 8704965\/208. What is the common denominator of t and 15\/8?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 + 173. Which is bigger: g or 98\/5?\nAnswer: 98\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 10*m**2 - m. Let r(s) = 5*s**3 - 106*s**2 - 314*s - 608. Let u(v) = 6*k(v) + r(v). Factor u(i).\nAnswer: -(i + 4)**2*(i + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 59 + 107 - 12*r - 24.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106 + 4. Suppose -2*o = 3*r - c, 3*r + 126 - 16 = 2*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) + 15\/5. Suppose -w = c*w. Solve 4*a + 5 - 13 = w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61840440 divided by -5\nAnswer: 12368088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5411*o**4*q + 2*o**2*q - 446*o*q + q - 37 wrt o?\nAnswer: -64932*o**2*q + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:02 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -38, 4, -6, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -539 + 538.9403. Let u = v - 0.0284. Round u to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 6\/22 - 13800\/(-220)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 5*t**2 - 18. Let j(s) = -s**3 - 6*s**2 + 17. Let o(x) = 7*j(x) + 6*n(x). Let k be o(-12). Solve 3*z = k + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -0.5 (c) -0.06 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times -920?\nAnswer: -11.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 131, 610, 1789, 4016, 7639?\n\"Answer: 58*d**3 + 2*d**2 + 67*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -12*x**2 + 1. Let s(g) = 8*g - 371042. What is s(i(t))?\nAnswer: -96*t**2 - 371034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.162 and -1.352888.\nAnswer: 0.219167856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -144.234057 - -843.9\nAnswer: 699.665943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3 + 170*g**2 - 61*g - 34*g**2 - 62*g + 1. Let i(y) = -136*y**2 + 122*y + 3. Let p(f) = 2*i(f) + 3*z(f). What is the second derivative of p(a) wrt a?\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 54194, 112338, 170482, 228626, 286770?\n\"Answer: 58144*v - 3950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3\/2 - 95*x**2\/2 - 205*x\/2 - 105\/2 = 0. Calculate x.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*l + 1792*l - 476*l - 79324 = -14224 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -909.4 + 909. What is the closest to -1 in 1\/16, 1\/8, h, -1\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 (base 12) in base 4?\nAnswer: 200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -134, -517, -1174, -2117, -3358, -4909, -6782?\n\"Answer: -2*z**3 - 125*z**2 + 6*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 4*o - 37*w + 6, 2*w = -0*o + o - 12 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*l - 145*l - 526*l + 17336 = 0 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 41*o**2 - 90*o - 176. Determine f(-43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771818993.\nAnswer: 11, 3697, 18979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -35, -33, -31, -29, -27?\n\"Answer: 2*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 132*q**2 - 137*q + 424. Determine g(65).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = j + 26*j + 13*j - 911 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 14766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 1. Let t(g) = 4*g**2 + 16*g + 40. Calculate -16*l(x) - t(x).\nAnswer: -4*x**2 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*(162\/180)\/((-3)\/85).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724888?\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 391015409 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-27)*(673 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*m = 0, 0 = -0*p + 3*p + m - 10. Solve -p*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1618*f - 376 = 1571*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/110 and -73\/69344.\nAnswer: 346720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1728\/(-1008))\/((1\/(-9))\/(91\/26))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((1 - 1) + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149084 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1944459266 - 1912616592.592. Let w = j - 31842517.40799909. Let n = w - 156. Round n to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.94 - 63.007.\nAnswer: -64.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 494 = 5*f, -6*x = -11*x + 5*f + 640. Calculate the greatest common divisor of 3906 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 7. Let d = t + 4.11. Let w be -1*(-6)\/84*6\/(-1). Which is the closest to 0.1? (a) w (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**2 - 31*s - 1 - 1\/21*s**3 + 1\/21*s**4 - 1\/70*s**5. Determine u, given that i(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -23*v**2. Let t(o) = -203*o. Calculate h(t(q)).\nAnswer: -947807*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 524862 and -49131599.\nAnswer: -48606737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 5*y + 2. Let l = 9 - 4. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/4)*h**(-3)*((h*h*(h\/(h*h**1*h))\/h)\/h)**(-33))**(1\/28) assuming h is positive.\nAnswer: h**(257\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -552 + 605. Let h(t) = a - 2*t - t**2 - 59 + 7*t**2 - 7*t**2. Determine h(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 259*h**2 - 1. Let r(n) = -497*n - 184*n + 683*n. What is r(l(t))?\nAnswer: 518*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 81*o**3 + 111*o - 111*o + 72*o**3 + 79*o**3 as t*o**2 + g*o**3 + w*o + k and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1115*m**2 - 264055 + 5*m - 5*m + 264055. Let a(p) = -4*p. Give b(a(k)).\nAnswer: 17840*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34746 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-385)\/(-4)))\/(3\/(-21))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-95)*(-10)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - n**2 - 86 + 173.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 9:27 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 2*x**2 - 4*x**2)*(2*x + 2*x - 5*x) + 4*x - 2*x + 202*x**3 - 2*x.\nAnswer: 204*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -1)\/(-1) + 17. What is the greatest common factor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -332 - -336. Solve 6*c - 4*c = -j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4536 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385734.64 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/6 - (-4)\/(-6). Solve m*t + 3 = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/55)\/(((-3)\/(-67))\/((-897)\/(-46) - 18)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let l(v) = -v**3 + 4*v**2 - 9*v - 6. Let r(g) = g**3 + g + 1. Let a(u) = q*l(u) + 2*r(u). Give a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4851628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 698561, 1397121, 2095681?\n\"Answer: 698560*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*m**3 + 281*m**3 + 553*m**3 + 1354*m**3.\nAnswer: 1696*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (512\/640)\/((-4)\/(-38750)).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/2*(-2)\/6. Suppose 0 = -5*r + 4*z + 8, -z + 7 = r. Let f = 0.2 + -0.3. Which is the closest to 1? (a) v (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -76446231.6 and -4.\nAnswer: -76446235.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - 40076?\nAnswer: -40041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/20*(-310)\/(-93)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 - 2*a**3 - 155*a**4 + 360*a**4 - 185*a**4 - 2*a**2 - 5 to b*a**4 + o + n*a + u*a**2 + t*a**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/32965 and 52\/11452735?\nAnswer: 217601965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -31*u**5\/2 - u**4\/6 + 43*u**3\/6 + 1110*u**2. What is the second derivative of v(f) wrt f?\nAnswer: -1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4*1\/(-3))\/((-299)\/(-26312)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 220236287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 2*j + 1 = 0, -5*x + j + 73 = 20*j + 30*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5801529\/8 - -726823. Let r = w + -1634. Calculate the common denominator of r and 4\/(-34) + (-8)\/5440*3082.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17834090?\nAnswer: 2, 5, 1783409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 112 = -28. Let a be -3*(-1 + (j\/9)\/2). What is the third derivative of -244*h**2 + a*h**4 + 216*h**2 + 0*h**4 wrt h?\nAnswer: 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -11, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + c - 16 = 0, -3*y + 0*c + c = -8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13558*h**3*v**3 - 116*h**3*v**2 - 2*h**2*v - 8107*h*v**2 - 1391*v**4 + 3*v**3 wrt v?\nAnswer: -81348*h**3 - 33384*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1130 divided by 172\nAnswer: -565\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40179224 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 7564752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 84. Let i(u) = 2*u + 85. Determine -5*i(m) + 6*y(m).\nAnswer: 2*m + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*f - 4, -5*f = -8*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1175466 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54943*n**3 - 3142 wrt n.\nAnswer: -164829*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 4 - -1) + 259\/(-42). Let h = -1 - -1. Let s be (-13)\/(-18) + (-4)\/18. Which is the nearest to h? (a) j (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -146 - -102. Calculate the least common multiple of l\/(-6) + (-4)\/3 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1227\/(-9))\/((-35)\/825). Let o = w - 3223. Do o and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1811 < -10871\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - 0.6. Let j = 0.2 + -0.8. Let w = j - -0.4. What is the third biggest value in n, w, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-4) + 2\/(-8). Suppose -v*m - 16 = -121. Suppose 16*o + 150 = m*o. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2505 in -0.54, -0.4, -101, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 4*l + 3*l**3 + 0*l + 2*l**4 - 2*l**2 - 5*l + 7*l as r*l + v*l**3 + s*l**2 + m*l**4 + q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38227 = -282*w - 607*w for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5819)\/(0 - (-15)\/(-45))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019230336 to 5 dps.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 111978137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -266, -1281, -3808, -8603, -16422, -28021, -44156, -65583?\n\"Answer: -126*q**3 - 133*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1027038400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 285126676 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**3\/6 - 15*f**2\/2 - 5*f. Let q be b(10). What is the nearest to -0.1 in 1, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/19 - 322*f**4\/19 - 7910*f**3\/19 + 404674*f**2\/19 - 172960*f + 7510600\/19 = 0. Calculate f.\nAnswer: -94, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 8. Let k(f) = 2*f + 7. Let a(l) = 5*c(l) + 4*k(l). Let n be a(5). Suppose z - n = -0*z. Solve -z*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - 1 - -2) + (-4 - (18 - 27)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 15*h - 2. Let u(p) be the first derivative of 0*p + 1\/2*p**2 + 67. Give -d(f) + 5*u(f).\nAnswer: -10*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488\/(-10) - 62*95\/29450?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1583720 + -1?\nAnswer: 158371a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 5*c - 4. Let m be d(-2). Let v(w) = 31*w**2 + w + 1. Is v(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -312?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 28*h - 27*h + 102, -186 = 2*h - 2*k. Put 0, h, -25 in decreasing order.\nAnswer: 0, -25, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 326568.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**50\/(t*t*t**(1\/3)*t)**(-2\/17) assuming t is positive.\nAnswer: t**(1720\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -n - 28, -2*n - 4 = 4. Let k = 130\/11 + q. What is the fourth smallest value in 2, k, -4, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273495860.\nAnswer: 2, 5, 11, 37, 33599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 105, 272, 461, 672, 905, 1160?\n\"Answer: 11*a**2 + 134*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.2378 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g**2. Let b be (-73)\/(-8) - 2\/16. Let r(q) = 10*q + 13*q - 42*q + b*q. Determine r(i(n)).\nAnswer: 70*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/15 - 421664*b\/15 + 22225066112\/15.\nAnswer: 2*(b - 105416)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -1\/3, -6\/821?\nAnswer: -6\/821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 200588 or 200587?\nAnswer: 200588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -46411 divided by -159?\nAnswer: 46411\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 0.2, -3, -0.07?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**3 + 852*c**2 - 13617*c - 48438 = 0.\nAnswer: -299, -3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 11*l**2 + 1. Let p be i(-11). Let u be 0 - (1 + (1 - p)). What are the prime factors of (-19 + u)\/(-2 - -1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = 4*i, i - 2*i + 3*x = 14. Suppose 2*m - 11 = -3*y + 3*m, -2*m - 8 = y. Suppose 5*f + 3*a = -10 + 5, -y*a = -3*f - 3. Is i equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1716*i**2 - i**3 + 1716*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-7 - -12) + -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14552*h**3 - 4869*h**3 - 4847*h**3 - 4888*h**3.\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65525, -65524, -65523?\n\"Answer: b - 65526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56295?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 divided by -372?\nAnswer: -191\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -72*w + 2*k - 52, 4*k = -5*w + w - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 4*l**3 + 0*l**3)*(4 - 4 - l).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -10 - -5) + -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 2*o + 16, 2*v + 134*o = 131*o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 71*v + 1. Let n be b(5). Suppose 4*i = -12, -5*c + 1604 = 4*i + n. Let h = -125 + c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 + 28\/6. Suppose s - 3*s - 122 = -3*i, 0 = 3*i + r*s - 136. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -81 (b) 2\/7 (c) 8 (d) -0.1 (e) 20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 26202542?\nAnswer: -26202565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*l + 201 = -130 - 49 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*m + 5*m + 11, -3*z + 3*m = -27. Suppose f = z*f - 6. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/y**(4\/5)*(y**(-1))**(-13))\/(((y*y\/((y*y\/(y**(6\/5)*y))\/y*y))\/y)\/(y\/y**(-5)))**(-5\/14) assuming y is positive.\nAnswer: y**(192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(160))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -51*d + 6. Let o(w) = -427*w + 207*w + 186*w + 4. Give -8*o(q) + 5*s(q).\nAnswer: 17*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j**(-8)\/j))\/j*j)\/((j**(-2\/7)\/j)\/j))**(1\/30)\/((j\/j**(1\/4))\/((j\/(j**(2\/3)*j*j))\/j)*(j**(2\/3))**(-2\/29)) assuming j is positive.\nAnswer: j**(-11887\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/44 and -93\/4528.\nAnswer: 49808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.7 - -16. Let w(f) = 3*f**3 + 1. Let x be w(-1). Which is the third smallest value? (a) 2 (b) 5 (c) x (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7947)\/(-12))\/(27\/7102152). Suppose 2*d - 3*b = f, -3*d + 261299990 = -0*d + 5*b. What is d rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*y**2 - 13*y**2 - 14*y**2 - 14*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 623 - 623. Let h(x) = -5*x**2 + 4*x**2 + s + 6 - 3 - 2. Determine h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4 - (-352)\/64?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7104 + 7770. What is the highest common divisor of 60 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000000110000010010011 + -11?\nAnswer: 11101000000110000010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-6))\/(1*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50*r**4 + 8020*r**3 - 331082*r**2 + 760296*r - 449352.\nAnswer: -2*(r - 79)**2*(5*r - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v + 13900 = 63*v. Suppose 4*y + v = 5*t, 4*y + y + 686 = 4*t. Are y and -135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289, -310, -331?\n\"Answer: -21*m - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 830002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11714545 (base 8) in base 11?\nAnswer: 1512879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536849.7cm to millimeters.\nAnswer: 5368497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 2f2?\nAnswer: 2f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 4 (b) -3\/2114 (c) 427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 10:14 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 0.2, -351, -5\/3, -99?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1413045 divided by -3489.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*a = -0*a - 26, -m - 2 = 2*a. What is the tens digit of (m\/6)\/((-2)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -38*z + 15*z + 609 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -67672 minus -1.42?\nAnswer: -67670.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*k = 3504, -q + 659 = -3*k - 529. Does 23 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 725 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 5*u**7\/36 + 109*u**6\/180 + u**5\/10 - 35*u**4\/18 - 4*u**3\/9 + 1226*u + 1. Let d(r) = 0. Calculate r.\nAnswer: -2, -4\/35, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 8) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*f**3*k**2 + 17*f**3*k*t - 7*f**2*t + f*k**3 + f*k + 2*k**3*t wrt t.\nAnswer: 17*f**3*k - 7*f**2 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**4 - 261*z**3 + 17863*z**2 - 101727*z - 709676 = 0 for z.\nAnswer: -4, 11, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6835067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 24 = 2*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*m + 138 - 530 = 0. Calculate the highest common factor of m and 722.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6514\/9 - -724. Which is the closest to k? (a) 5 (b) 0.02 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 280.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27284695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/((sqrt(4) + 1*sqrt(4))\/sqrt(2) - sqrt(2)) + 4.\nAnswer: sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 divided by -53?\nAnswer: 362\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -4, 21, 66, 137, 240?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -2 + (-3 - -14) - (45 + 24).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 259904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 151556.\nAnswer: 606224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21*u - 11. Let n(w) = -31*w - 17. Give 5*n(q) - 8*r(q).\nAnswer: 13*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*k + 150*k = 17974358. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-962)\/1924)\/((-1)\/(3*148\/6))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 181019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**2 + 9*d - 6. Let w(m) = 3*m**2 - 3*m + 2. Let i = -21420 - -21416. What is i*n(u) - 11*w(u)?\nAnswer: -u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 - 1099\/6. Let d = 57\/28 - 86\/7. Calculate the common denominator of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 5. Let f be h(-7). Let m = -7 - f. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -17 + 14\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(40)*-2)\/sqrt(8) - -6*sqrt(10)\/sqrt(2) - (sqrt(720) + -1 + 5))*-3)**2 + 2.\nAnswer: 576*sqrt(5) + 3026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/15))**(7\/2)*((j*j*(j**0\/j*j)\/j*j*j)\/j)**43)**(-37) assuming j is positive.\nAnswer: j**(-99863\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -d + 77551, -3*j + 2*d = 4*d - 46539. What are the prime factors of j?\nAnswer: 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 8. Find the third derivative of -h*u**6 + 10*u**2 - 3*u**2 - 4*u**2 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19681 or -19688?\nAnswer: -19681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 173*j**2 + 9*j - 8. Let q be r(1). Suppose -562 - q = 8*b. Let o = -87 - b. Solve 0 - 10 = o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvgy when four letters picked without replacement from wvgwwgyyhyy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 + 9*b**2 - 6*b - 3. Let k be m(-5). What is the third derivative of 34*o**4 - 2*o**k - o**3 + 11*o - 143*o + 3*o**3 - 93*o**4 wrt o?\nAnswer: -1416*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*r + 78, 3*r - 111 - 223 = -4*x. Suppose 0 = x*w - 87*w + 100. What is the highest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in seconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 4*n**2 - 4*n**2)*(-1 + 2 - 2) - 2*n**3 - 2*n**3 + 6*n**3 - 6*n**2 + 6*n**2 + n**3 - 3*n**3 - 4*n**3 + 12*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291769655?\nAnswer: 5, 47, 1241573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -9)*-2 + 0. What is the nearest to 0.1 in k, 5\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 380966804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 38, -56, 0 in increasing order.\nAnswer: -56, -3, 0, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1001 + 203534?\nAnswer: 204535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1978*h**2 - 8*h + 2029*h**2 + h**3 + 0*h**3 to j + q*h + l*h**2 + f*h**3 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by -678\nAnswer: 48\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 164, 624, 1368, 2396?\n\"Answer: 142*n**2 + 34*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5525 - -17?\nAnswer: -550a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17873 bigger than 17912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-2 + sqrt(32))*-4)**2 + -3) + 2*(2*sqrt(96))\/sqrt(3)*-1.\nAnswer: -2865 + 1264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003404534 to six dps.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + p + (3*p + 0*p - 5*p)*(-1 + 1 - 1) - 3 + 3 + p + p - 5*p + 6*p)*(-31 + 2 - 12)*(2 - 4 + 0)*(2*p**2 + 4*p**2 - 4*p**2).\nAnswer: 984*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1700*n + 42 = 1707*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and 0.29763.\nAnswer: 0.625023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = b. Solve 0 = -b*u - u + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(208)*2)*-3)**2 + 5.\nAnswer: 144*sqrt(13) + 7502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d79 (base 15) in base 4?\nAnswer: 233133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 89.46218.\nAnswer: 86.46218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 121615357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15438)\/30 + 6\/(-15). Calculate the common denominator of -1 + b\/30 + 3 and (140\/12)\/(4\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04 (b) -1\/5 (c) -0.3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by 330?\nAnswer: -53\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2661)\/(-38141) - 169\/(-43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2. Let g(n) = n - 2. Let h(w) = -4*w + 4. Let k be (6\/(-18))\/(-1)*(7 - 1). Let v(t) = k*g(t) + h(t). Determine v(s(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 21. Let s be 4*((3 - v) + 7). Let u = 62 - s. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -10*b**2 + 1371*b - 157. What is f(137)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 347541718 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 8*w + 6. Let r = -21 - 6. Let g = r + 27. Suppose 2 = -2*h - g, -3*h + 2 = -v. Give d(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 9 + 5)*(-27573 + 220*g + 27573) to d + a*g and give a.\nAnswer: -1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -104, -3\/7, -0.085?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0*w*w*w\/(w*w**(-2\/3)*w)*(w\/w**6)\/((w*w**(1\/6))\/w))\/(w**6*w**(7\/4)\/w*w*(w**(-2\/19)*w*w)\/(w\/(w\/(((w*w**(7\/3))\/w)\/w)))) assuming w is positive.\nAnswer: w**(-2465\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m - 2 + 0*m**2 + m**2 + 10 + 6*m. Suppose -3*h - 4*w - 19 = 0, -3*h - 37 = -32*w + 27*w. Give q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -45*l**3 + 5*l. Let g(z) = 23*z**3 - 2*z. Give 5*g(w) + 2*x(w).\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 649966 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154 - 11110666277?\nAnswer: -11110666277.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(66)\/(sqrt(6) - sqrt(6)*-2) + -1 + sqrt(539) - 3*1*sqrt(22)\/sqrt(2))*2)**2 + -2.\nAnswer: 52*sqrt(11)\/3 + 7427\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.79 + 1.21. Suppose 3*t - t - 8 = -3*r, 0 = -2*r. What is the second biggest value in t, 2\/13, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 4 (c) -1 (d) 0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74957945437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6355 + 39?\nAnswer: 42.6355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 814832393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 190, -13*c + 523 - 31 = -0*z - 6*z + 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 8, 75, 212, 443, 792, 1283?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1 - -2) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 50. Let q = -12 + k. What is the units digit of (12 + 66)*q\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = 3. What is the units digit of (-5 + 2)*(f + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 4*m + m)*(-14 + 14 + 11*m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 13*o**6\/60 - 67*o**5\/30 + 5*o**4\/6 + 1195*o**2. Determine p, given that s(p) = 0.\nAnswer: 0, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**4\/4 - 5*a**3\/6 + 2*a**2 - 5*a. Let h(w) = w**2. Let p(s) = -5*h(s) - k(s). What is p(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52991*j + 9553 = 52758*j for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x - 0. Suppose z - 460 = -5*h + 5*z, 0 = x*h + z - 276. Suppose h = 5*f + 5*t - 3*t, -32 = -2*f - 2*t. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110253*u**6 + 2*u**3 + 275214*u**2?\nAnswer: -13230360*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 1435, 2187, 3249, 4621, 6303?\nAnswer: 8295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 9*o**2 + 8*o - 24. What is r(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11110?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -37 + 3 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(612) - sqrt(612) - (-6*sqrt(17) + -3 - sqrt(17)) - ((sqrt(1700) + -4*(sqrt(1700) + 3 + sqrt(1700)))*-3)**2.\nAnswer: -750993 - 15089*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -1) + (1 + 3 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 4) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**6\/3 - 4124*r**5\/5 + 4121*r**4\/2 - 4120*r**3\/3 + 11218. Find o, given that d(o) = 0.\nAnswer: 0, 1, 2060","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 427*w**2. Let u(i) = -i**2. Give u(l(p)).\nAnswer: -182329*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.5 (b) -5\/8 (c) -128\/9 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*b. Let r(y) = -2*y**3 + 5*y**2 - y. Let w be r(2). Suppose -2*m - 3 = -h - 0, -3*m + w*h = 3. Is b bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158853*f**2 - 102*f - 1 + 163*f + 482*f - 158854*f**2.\nAnswer: -f**2 + 543*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:24 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*v - j + 4, 0 = 5*v - 3*j - 30. Suppose 33000002 = v*o + 2*m, -m = -5*o - 2*m + 55000001. Round o to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 18\/(-10))\/(1\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -32*o**4 - 2*o**3\/3 - 18*o**2 + 182. Find the third derivative of g(c) wrt c.\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 0.04 (c) -248 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 5*u + 5 = -6, 3*j = 16*u - 25641 + 25669 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 + a**5\/10 + a**4\/12 - a**3 - 3*a**2. Let n be p(6). What is the highest common factor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kq when two letters picked without replacement from qqkkqkqkkqkkkkkkqkq?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + -1 - (-751 - 28\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) 0.4 (c) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 + 54 - (-1 + (-2)\/4*6) and 4?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 5.521183.\nAnswer: 5.921183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 86956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14130 and 51\/80.\nAnswer: 113040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 less than 6.42?\nAnswer: 141.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 7, i: 5}. What is prob of sequence iej?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*(-40)\/(-300))\/((-6)\/15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 - ((-18 + 4 - -21) + -14)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-489)\/(-6) + -3 - (-6)\/4. What is the greatest common factor of o and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2504326 (base 7) to base 16\nAnswer: -4e568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 173?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -3, 400?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 306058644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/240 + o**5\/60 + o**4\/48 + 24*o**2. Let m(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -26. Let f(s) = -11 - p*s + 6*s + 6*s. Is f(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**4\/4 - 5*r**3\/3 + 59*r**2\/2 + 21*r. What is the units digit of k(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j - 1338 + 10798. Calculate the greatest common divisor of j and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let v be p*3\/3 + 8. Suppose -11 = -3*g + 4. Solve 2*y - g*y - v = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -109900.8?\nAnswer: -109900.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-4*r**2 + 4*r**2 + r**3) + (-3*r**2 + 4*r**2 - 4*r**2)*(-4*r + 4*r + 7*r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32 + -2)\/(8 + -10). Let m = 135 + -16. Calculate the highest common factor of m and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16456, -16507, -16560, -16615?\nAnswer: -16672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 694*s**2 - 5504*s + 10976.\nAnswer: -(s - 686)*(s - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**6 + 38*s**5*w**3 + 3*s**2*w**3 - s**2 + 4*w**2 wrt s?\nAnswer: 120*s**3 + 2280*s**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h + 5*h + 17*h**2 - 2*h. Let u(i) be the second derivative of i**4\/6 + i. Calculate y(u(t)).\nAnswer: 68*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -3. Suppose 3*d + 10 = 5*b, k*d + 3*b - 8 = -2. Suppose 5*j - 3*y - 115 = y, -j + 4*y + 39 = d. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 48\/4858159 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-504)\/(-105) + (-68)\/85. Let h(f) = -5*f**2 - 11. Let v(c) = -6*c**2 - 11. Calculate a*v(o) - 5*h(o).\nAnswer: o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69585 times -0.048?\nAnswer: -3340.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5*10\/(-2). Suppose 4*d - 37 = -3*b, -3*d + b = -11 - 7. Let n = d + g. Solve -5*m - 1 = -n*m - l, 5 = l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449 = 2*x + 65. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -5 (b) 4 (c) -0.3 (d) 0.1 (e) -129 (f) 0.3 (g) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 10\/(-4). Suppose -4*o + 54 = q. Let t = o - 13. Sort 11, -5, t in descending order.\nAnswer: 11, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebzbzzb. What is prob of sequence eb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnrrjjjnsrnsjnrs. What is prob of picking 1 n and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of -u**6\/45 + 11*u**4\/24 - 32*u**2. Let b(g) be the second derivative of f(g). Let v(y) = 3*y. Determine b(v(j)).\nAnswer: -48*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 388010*m**2 - 27*m - 3230?\nAnswer: 776020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 9*n - n)*(-3 - 3*n + 4*n + 4).\nAnswer: 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 758 + -771. Let w = 18.8 + -18. Which is bigger: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -71693?\nAnswer: 5\/71693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*i - 4, 4*i + 11 + 7 = -2*a. Let y = a - -29. Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c + 0*c)*(0*c**3 + 0*c**3 - 2*c**3) + c**4 - 2*c**4 - c**4 - 301*c**4 - 15971*c + 15971*c - 2065*c**4.\nAnswer: -2372*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437.6682 months to decades.\nAnswer: 3.647235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/18)\/(26*32\/3328). Which is the second biggest value? (a) h (b) -1\/3 (c) 1794 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-15)*((-18)\/16)\/(-27*7\/1008).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiwbbiwbibiwbbbbrb. What is prob of picking 2 w and 1 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 11) in base 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 651?\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123620 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12044?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -140?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 225\/61 (b) -8 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11071, -11068, -11063, -11056, -11047, -11036?\nAnswer: -11023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6595\/42 - 943\/6. Let t = -99\/38 - -2\/19. What is the third biggest value in t, -0.09, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 251, 204, 125, 14?\n\"Answer: -16*k**2 + k + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 1)*(99*n**3 + 88*n**3 - 155*n**3) to the form j*n + k*n**3 + v*n**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**3*s**3 - 4*f**3*s**2 - f**3*s + 70*f + 3*s**5 wrt s?\nAnswer: -18*f**3 + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 1. Let w(a) = 2*a + 2. Let q(p) = 8*d(p) + 3*w(p). Let x be q(-2). Let j(r) = 67*r - 3. Is j(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 0 + (-323)\/51)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155 + 341. Is 30 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3001217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3 - 17*j**2\/2 - 2*j + 10. What are the prime factors of y(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -499254050*v**3 - 1057792480*v wrt v?\nAnswer: -2995524300*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(2736)*6 + -5 + sqrt(2736) + -3)*2 + 4)**2.\nAnswer: 132480*sqrt(19) + 9858064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -278*c. Let g(h) be the second derivative of -h**4\/2 + 1283*h. Calculate y(g(k)).\nAnswer: 1668*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151288806.\nAnswer: 2, 3, 811, 31091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4489541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 75 (b) 0.06 (c) -7 (d) 155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let p(i) = -i**2 - i + 1. Let s(o) = -4*p(o) + 4*u(o). What is k in s(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3096 = 4*p + 4*b, -4*p + 2*p = -b - 1533. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4189 at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69050025 and 69050025?\nAnswer: 69050025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(500))\/(3*sqrt(4)*-1).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**3 + s**2\/2 + 2*s + 193. Let l(t) = -5*t**2 - 1 + 4 - 4. What is -2*f(c) - 3*l(c)?\nAnswer: 3*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 15, 2, 33 in increasing order.\nAnswer: -4, 2, 3, 15, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -1) - (-4 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djjdvduuutuo. What is prob of picking 2 j and 2 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2129905959.\nAnswer: 3, 59, 12033367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5bd21 (base 14) to base 16.\nAnswer: 36e49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-85) - 4\/(-34)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 <= -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 147\/4 (b) 6.8 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -373, -4, -6\/17, 2 in descending order.\nAnswer: 2, -6\/17, -4, -373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 708946 and 8.\nAnswer: 2835784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(18)\/(sqrt(1296)*-2).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 3. Let g be v(-6). Suppose g*a = 10*a - 12. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30864 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 - 2*k**3\/3 + k**2 - 2*k + 3. Let b = -457 - -461. List the prime factors of s(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 1, a: 2, u: 2, z: 1, k: 1}. What is prob of picking 1 z, 2 a, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + -2 + (-3 - 0). Suppose t - 819997 = -0*c - l*c, 3*c = 3*t - 2460003. Round t to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*f - 3*k - k, -2*f + k = 4. Is 1\/35 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102\/289)\/((-330)\/(-170)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.43 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 245686462 to the power of 1\/2, to the nearest integer?\nAnswer: 15674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 1\/42*x**3 + 0*x**2 + 1\/84*x**4 + 0 - 1\/210*x**6 - 1\/140*x**5 - 34*x. Solve f(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 31*r**2 - 294*r - 12643. Calculate g(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1455120 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - n. Suppose -10*g + o + 6 = -7*g, o - 6 = -3*g. Let i(m) = 11*m**2 - 2*m. Give g*q(p) - i(p).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 13 + 1042*f**3 - 1044*f**3 + f + 0*f. Let g(q) = q**3 - q - 9. Determine -7*g(k) - 5*x(k).\nAnswer: 3*k**3 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285766*y**3 + 398*y**2 + 43*y + 2.\nAnswer: 1714596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4459*t + 53416. Give l(12).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18624 and 96?\nAnswer: 18624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -9 (b) 2\/129 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 14*w - 22. Let c be k(-12). Let o(y) = -7*y + 7*y - 65*y**c + 0*y. Let l(z) = 2*z. Calculate o(l(u)).\nAnswer: -260*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 56 = -7. Let w = -46 + y. What is the second derivative of -12*b + 2*b**3 + 2*b**3 - 7*b**3 + 6*b**w wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 440*i + 375. List the prime factors of o(7).\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 7. Let i(n) = n - 3*n - 6 - 3*n. Let h(k) = -3*i(k) - 2*q(k). Let u(a) = a + 2. Let s = 23 + -18. Calculate s*u(f) - 2*h(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, 87123 in decreasing order.\nAnswer: 87123, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61752 and 3735.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 472898\/7 and 67557 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4099.84749 to one decimal place.\nAnswer: -4099.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8 = -2*f. Suppose 220999 = -2*i + 2*c - 179009, f*i - c + 800004 = 0. What is i rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 22. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 7923\/73906 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(234 - 62 + 31 + 91)*(2*z + z - z).\nAnswer: -588*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 9. Let s(h) = h**3 + 7*h**2 + 2*h - 6. Let i be s(k). Suppose 7*o + 4*b = 2*o + 108, o = -2*b + 18. Solve -5*x = -5*j + o + 6, -i = j + 5*x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*q**2 - 17 + 17 + (-12*q**2 + 7*q**2 - 3*q**2)*(0 - 4 + 5) + q**2 - q + q to the form i*q + z*q**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m + 26. Let u(w) = 20*w + 77. Let i(a) = 6*u(a) - 17*z(a). What is the units digit of i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219235*u**3 + 2011*u**2 + 13*u?\nAnswer: -1315410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018933 is divided by 7587?\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-4)\/(-8))\/(4\/(-1008)). Let x be -3 + 1 - (-1 + -9). What is the highest common factor of t and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745314736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1. Let c = 93 - 43. Let x = 49 - c. What is the third smallest value in x, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/5 (b) -0.1116 (c) 0.3 (d) -0.5 (e) 3 (f) -2\/11 (g) 30\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -39. Which is the third smallest value? (a) 0.1 (b) 0.04 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 50659 - 7c?\nAnswer: 505bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -22518 = -90069\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 3583 - 13381 = 0. Suppose 4*z - r = -389. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tddddtdddddd.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-5*sqrt(704) + -3)**2*3 + -1*(sqrt(704) + sqrt(704)*-2)**2*2).\nAnswer: -51419 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, r: 1, z: 1, f: 2, a: 1}. What is prob of sequence raq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a factor of 238940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9687 or -9689?\nAnswer: -9689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 1027?\nAnswer: 513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/15)\/(8\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 955043.\nAnswer: 8\/955043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**4 - 2*a**2 - 12*a + 4. Let g(f) = 9*f**4 - f**3 - 4*f**2 - 25*f + 8. Let k(x) = -13*d(x) + 6*g(x). Factor k(u).\nAnswer: 2*(u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:26 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u - 2. Let r be x(2). Let f = -9 - -24. What is the remainder when f is divided by r*(3\/(-2) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -5) + (16 - 15) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401693 is divided by 1340?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/79)*d**(-15\/8)*d*(d**(-15))**(12\/19) assuming d is positive.\nAnswer: d**(-124571\/12008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17346\/(-708) - 306\/(-4)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -724*o**4 + o**3\/3 - 3117*o**2\/2 - 13473*o - 1. What is the second derivative of d(c) wrt c?\nAnswer: -17376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -110137, 10, -171, 3, 1 in ascending order.\nAnswer: -110137, -171, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(272) + 3)**2)*3 + sqrt(51)\/(-6*sqrt(48)).\nAnswer: -843 - 1657*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -22?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 27 + 21 - 3*j)*((3*j - 4 + 4)*(-3 + 1 + 0) - j - 4 + 4 + 0*j + 0*j - 2*j + (-3 + 2 + 2)*(-j + 4*j + 0*j) + 4 + 2*j - 4).\nAnswer: 40*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 + 0)*(-t**4 - 17*t**2 + 0*t**4 - t**4) in the form z + g*t**3 + v*t + m*t**4 + u*t**2 and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2512460780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from yaayayyyyyyyayyyay.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712 = -31*b + 120*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + 3 - -5) - (-233 - -233)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222116 divided by 140092?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 303 = -5*c + 866, 5*l = 5*c - 1145. Let p = -170 + c. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-5) - (7 + (-1380)\/275). Is r greater than -2\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let h(z) = 4*z - 3. Let x(b) = 2*h(b) + 14*u(b). Let p(q) = 2*q + 7. Let y(c) = -c**2 - 6*c + 1. Let w be y(-7). Give w*x(n) - 17*p(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 13*q = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6896, 13411, 19926?\nAnswer: 26441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(1088)*-6 - ((sqrt(1088) + (1 + sqrt(1088) - sqrt(1088)) + sqrt(1088))*-5 - (-1 + sqrt(1088) + 4)))**2.\nAnswer: 4480*sqrt(17) + 1332864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -1 + 5. Let q be (0*m\/4)\/2. Solve 1 = -u - q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, -153, -521, -1071, -1797, -2693, -3753, -4971?\nAnswer: -6341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 18. Let f be j(-5). Let v = f - 23. Suppose -5*r - b + 7763 - 1514 = v, 8 = 2*b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 5, t: 4, m: 5, v: 1}. What is prob of sequence tvl?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -962 = 2*l - 4008. What are the prime factors of l?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100100110110101101001 (base 2) to base 13\nAnswer: -8b9311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*v + 8*v + 10*v + 41*v + 8*v + 1437 to the form w + k*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**2 + 1\/21*h**4 - 3*h + 1\/70*h**5 + 1\/21*h**3 + 0. Factor o(x).\nAnswer: 2*x*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/24 + (-2)\/24. Suppose -5*h = -0*h - 10. Let x be (10\/(-10))\/((-2)\/h). Which is the closest to 1? (a) x (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 313 - 40*d**2 - 77 - 81 - 73.\nAnswer: -40*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-10) + 2\/(-5). Let a = 46309.5 - 46309. What is the nearest to 0.2 in a, 4\/5, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**3 + 4425*t**2 + 633330*t + 3639600 = 0 for t.\nAnswer: -120, -6, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 58328.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/31443 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 44 + 12 = 0. Suppose 0 = q + 4*d - 172, 688 = p*q - 4*d + 5*d. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/(-2))*(-558)\/(-25668)?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 186*h**3 + 188*h**3 + 4*h**2 - 6*h + 0*h**2 in the form t*h**3 + r*h**2 + d*h + x and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -0.4 (b) 2252 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/3, -8.1, 4307?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2552 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 2, w: 1, g: 4, s: 11}. What is prob of sequence rig?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*i. Let n be (-39)\/14 + (7 - 4). Let b = -1\/126 - n. Is i less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 361 - 361.2. Let q = 3.971 - -0.029. Which is the third smallest value? (a) 49 (b) v (c) -2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiygjyjskiky. What is prob of sequence ky?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t + 242. Is r(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -284*w - 19904. What is t(-70)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 71, 44 in ascending order.\nAnswer: -8, 44, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 177\/4*(-60)\/(-90)*60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m + 0 + 0 = 16*m, -3 = -3*u + 37*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -527*p**4 - 43851*p**3*s - p**2*s - 12734172*p**2 + 2 wrt p.\nAnswer: -12648*p - 263106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gngg when four letters picked without replacement from ggggnggggggggnggggg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:10 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7333 - 22001\/3. What is the nearest to x in 0.5, -22, -0.01, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v - 15*v - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + ((sqrt(136)*2 - sqrt(136)) + sqrt(136))*-6)*-4)\/(1*sqrt(32)*3).\nAnswer: 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**18\/i))\/i)\/i)\/(i\/i**(-1\/8)))\/(i**(-32)\/(i*i\/((((i\/(i\/(i**(2\/33)\/i)))\/i)\/i)\/i))) assuming i is positive.\nAnswer: i**(4967\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2272042*n**2. Let g(i) = -53*i. Determine g(t(w)).\nAnswer: 120418226*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -t - 2*q, 2*q + 2 = 0. Let u be (0 + t)*-29 + (-3 - -5). Are u and -27 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -286\/21? (a) -0.3 (b) 0.5 (c) 154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -9. Suppose -3*i = -w, -4*q - 48 = 4*i - 5*i. Let k(h) = h**3 + 11*h**2 - 5*h - 13. Is 13 a factor of k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 22*(-1)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 15*z**2 + 1. Let r be u(-5). Let q = r + -379. Sort -32, -5, q in decreasing order.\nAnswer: q, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0341 + -0.059. Let q = w + -0.0751. Let v = 3 - 2. Which is the closest to v? (a) 10 (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -2\/5 (c) -0.446 (d) 7 (e) -1\/3 (f) 40\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-12) + 14\/(-8). Let l = 3 + z. What is the third derivative of 3*n**5 - l*n**5 - n**2 + n**2 - n**2 wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.243401nm?\nAnswer: 0.0000004243401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-5))\/(-4) + 76\/20. Let w = 41\/15 - v. Which is the second biggest value? (a) -1 (b) 11 (c) w (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/160 and -91\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 divided by 20?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 19*f**3 + 0*f**5 + 0*f**2 + 0*f + 5\/4*f**4 - 5\/7*f**7 + 0*f**6 + 3. What is the third derivative of l(m) wrt m?\nAnswer: -600*m**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3069298.\nAnswer: 2, 19, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 480*n - 6. Let w be q(3). Let b be (w\/(-3))\/(-2)*1. Let i = b + -150. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194366544 and 68256?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3533 is divided by (116\/18 - 56\/(-36)) + -1 + 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 32*l**5\/195 - 4*l**4\/39 + l**3\/39 - 8*l**2. Determine o so that d(o) = 0.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16312 - -2926. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0421 at most as big as -0.018252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624330 is divided by 4659.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldllollgddgggsgpdll. Give prob of picking 1 l and 1 p.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -31. Suppose -w*n + 15 = 4*z - 1, 4*n = -16. What is the third derivative of 2*o**2 + o**2 - 6*o**2 + z*o**4 - 4*o**2 wrt o?\nAnswer: 168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/t**(-1\/9))*t*t*t**1*t**(1\/4)\/((t*t\/(t**(-1\/12)\/t))\/t*t) assuming t is positive.\nAnswer: t**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**3 - 1490*c**5 + 12*c**3 - 2*c**2 + 2191*c - 6*c**3 - 4*c**3 - 564*c**5 wrt c.\nAnswer: -123240*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 10*b + 378 = 0. Let f be (3\/b)\/((-5)\/20). What is the third biggest value in f, -3\/5, -0.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 - 17 - -6 - 18\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -47.29. Let b = p + -0.29. Let g(j) = j**3 + 5*j**2 + 4*j + 3. Let m be g(-3). Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 8:22 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, 1, 0 in decreasing order.\nAnswer: 3, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 8758280?\nAnswer: 35033120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13412314404 + -3?\nAnswer: 13412314401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x + 1. Suppose -8*z + 13*z - 15 = 0. Let r(s) be the third derivative of -s**5\/60 + s**4\/6 - 2*s**3\/3 - s**2. Let h be r(z). Calculate p(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**5\/20 + o**4\/12 - o**2 + 8*o. What is s(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let m be d(3). Suppose m = v - 10. Suppose -2*z - 5*u = -z + v, -23 = -4*z + 5*u. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 - (-321 + 333)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*h**4 + 4832*h**3\/3 + 11324*h**2\/3 - 22064*h + 4608 = 0. What is h?\nAnswer: -4, 32\/147, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2521*z**3 - 9*z**2 + 38. Let a be f(-9). Round a to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 6, p: 1, x: 3, c: 4}. Give prob of sequence ix.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -120. Suppose -6*g = -3*g - y. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 4*n - 48. Calculate the common denominator of 17\/417 and v(0).\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500896 - 250451 - 250445 + 4*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283 or -1277618?\nAnswer: -1277618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-12))\/(((-11)\/(-99))\/(3\/(-18))). Solve -2*j + 39*v - 6 = 41*v, -3*v + h = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65423 by 1.\nAnswer: -65423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 4*u - 27, 0*s = -s - 4*u - 7. Let d be 66\/(-8) + 4\/16. Let o be (-1)\/(10 - 13 - d\/3). Sort o, 1, s in ascending order.\nAnswer: 1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + 11*s - 25*s**3 + 23*s**3 - 10*s. Calculate u(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 5*a**2 + 3*a - 4. Let y be x(-3). Suppose 5*f = 2 - 17, -5 = -y*d - 5*f. Solve -5*z + 29 = -d*w, z + 4 = 2*z + w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89298348 is divided by 14709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)\/(sqrt(63) + sqrt(7)))\/(sqrt(125)*6) - ((3*(0 + sqrt(396) + sqrt(396)) - sqrt(396)) + -1*(0 + sqrt(396))))**2.\nAnswer: 91175051\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*d**2*j**4 - 46*d**2*j**2 - 671*d**2*j - 7*d**2 + 30*j**3 wrt j?\nAnswer: 60*d**2*j**2 - 92*d**2 + 180*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*m + 18, 0 = -5*n + m + 27365. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 16*g - 30 = -3*l, 4*l - 2*g = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380 and 97052.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - sqrt(171)*-2)*2)\/(sqrt(9)*-2*-6).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*i + 33. Suppose -5*l + i = -17. Suppose l*m + a = -a + 1009, 2*m + 2*a - 400 = 0. Calculate the greatest common divisor of m and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8915944*y + 2948601 wrt y.\nAnswer: -8915944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 824 + -474. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 698.4911*3.\nAnswer: 2095.4733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 2*k + 34 = 4*n, 0 = -5*n + k + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2131*j*k**2 + 53*j*k + 15*j - k - 807 wrt k.\nAnswer: 4262*j*k + 53*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -3 + -7 - -147 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -3*f + 30, -4*a - 1 = -13. Suppose 5 = s, -k - 4*s - f = -4*k. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 58759, 58729, 58699?\n\"Answer: -30*m + 58789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59740731?\nAnswer: 3, 19, 41, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than -141328.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o - 98*o - 466 = 242 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k**2 + 2*k**2)*(-5*k + k + 2*k) - k**2 + 32*k**3 + 25*k**3 - 55*k**3.\nAnswer: 4*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 + 234*k**3 + 53942*k**2 - 613314*k + 1690020 = 0. Calculate k.\nAnswer: -123, 5, 6, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 72 + -1 - (65 + -47).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -3 (c) 121524 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16 - 14)*(-2 - 0). Let u be ((-14)\/28 - 6\/s)\/(-3). What is the third smallest value in -1, -4\/17, u?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/66 and 113\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 8045*g + 3894*g + 4114*g + 0*g**2.\nAnswer: 4*g**2 - 37*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - 3*d)*(-1 - 2 - 1).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 q, and 2 y when four letters picked without replacement from ysyqslyiyycyyc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1606603*h**3 - 12*h**2 - 11592898*h + 1 wrt h.\nAnswer: 9639618*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + v**2 - v**2 + 0*v**3 + v**4 + 0*v**3 + (-1 + 1 - 4*v)*(0*v + 0*v + 2*v**3).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 26 = 6*c. Calculate the greatest common divisor of c and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34.233102 and 0.5.\nAnswer: 17.116551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64318 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -112535031 (base 6) in base 14?\nAnswer: -3c8187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 10*g - 177. Let y be c(20). Suppose 5*q + 5 = -5*s, -8*q - y = -4*s - 3*q. Solve 0 = -3*k - 5*w + 22, 2*k + s*w = 5*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92177\/278370 + -29\/1031. Calculate the common denominator of p and 7\/300.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15019*m**2 + 7475*m wrt m.\nAnswer: 30038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -188. Suppose x*y = 42*y + 4032. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 43*a + 852. What is z(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 353606?\nAnswer: 35360.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -2 - -5) + (-15 - -10) + -9 + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - x - 321 = 0, x = -3*h - 8 + 207. Suppose 0 = 5*o, 5*m + 0*o - 3*o = h. Suppose m = g + 4. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 - -14.3. Let y = v + -45.4. Let i = y - -38. Round i to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*p + 126, 3*q - 4*p - 112 = -9*p. Let v be (-4)\/((-32)\/876) + 5\/(-10). Let m = v - q. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d + 46*d + 36*d - 2*d.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 54, 84, 114?\n\"Answer: 30*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from hjwnjjjnjwwn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/31, -2\/3, -3\/5, 4, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 4, y: 1, p: 1, s: 1}. What is prob of sequence tdd?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 175*n**3 + 45*n**2 + 18*n - 248. Let s be w(-29). What is s rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1500)\/200)\/((-1)\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-26)\/k**(6\/7))\/(k*k**12\/k*k*k)**(-2) assuming k is positive.\nAnswer: k**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 58 - 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1204150023?\nAnswer: 1204150020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(170)\/sqrt(10)*1)**2 + sqrt(17) - (sqrt(612) + -2 + sqrt(17))**2) + (-1*sqrt(1377))**2 + (-2 + sqrt(68) - sqrt(17))**2).\nAnswer: -578 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 200686*m**3*u + 2*m**2*u + 407011*u wrt m.\nAnswer: 1204116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -6.7. Let s = -79 - -73. Let w = s + d. Which is smaller: 0.3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 55 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let n(i) be the third derivative of i**5\/60 + i**4\/24 - i**3\/2 + 20*i**2. Calculate n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/30)\/(8\/(-180)*5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 divided by -12?\nAnswer: -115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -279\/7, 0, 1\/4, 209 in descending order.\nAnswer: 209, 1\/4, 0, -279\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24340076.\nAnswer: 2, 89, 68371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/(4362480\/(-5893)) + (-3)\/16.\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2\/4 - 687*r\/2 - 98469\/4 = 0?\nAnswer: -63, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = 8*v - 25*v. Calculate the least common multiple of v and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 188.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 9*l. Let m(z) = -10935*z. Determine n(m(a)).\nAnswer: 358722675*a**2 + 98415*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47 - -21)\/(2*1)*-11. Let o = h + -64. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/((0 - 1) + 0). Let b be (w\/(-4) + 0)*-18. Suppose -3*d = -b - 12. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.918 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38376001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 1, a: 1, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 6022*i**3 - 12045*i**3 - 2*i**2 + 6025*i**3 - 708 in the form b*i**2 + z + h*i + l*i**3 and give z.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -28. Let i(o) = -o**2 - 11*o + 1. Suppose 0 = 3*x - 6 - 0. What is the smallest common multiple of x and i(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -812, -680, -450, -116, 328, 888, 1570, 2380?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 162 + 74 + 3*v**2 + 3*v - 178.\nAnswer: 3*v**2 - 266","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 1478788*q - 2957560.\nAnswer: -4*(q + 2)*(q + 369695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -283 - -282. Let a(b) = -1. Let o(c) = -2*c**3 + 3*c**2 - c - 5. Let k be ((-15)\/(-18))\/(5\/30). Give k*a(y) + s*o(y).\nAnswer: 2*y**3 - 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2808263\/8 or 351033?\nAnswer: 351033","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 16054756241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = 5*f + 182 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36118, 72239, 108360?\nAnswer: 144481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46683 or 46442?\nAnswer: 46683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**6\/90 - 2*o**5\/15 - 5*o**3\/3 + 14*o**2 + 2. Let s(f) be the first derivative of i(f). Factor s(c).\nAnswer: -4*c*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*q + 9 - 4 = 0, -30 = 5*n - 3*q. Let u be (39\/9)\/((-1)\/n). Suppose -11*s - 104 = -u*s. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 8*q**3 + 670*q**2 - 9384*q + 2304 = 0.\nAnswer: -96, 1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 3*l + 197. Let t(r) be the third derivative of r**4\/24 + 8*r**2 + 22. Give z(t(j)).\nAnswer: -j**2 + 3*j + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - -3) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 15486786?\nAnswer: 61947144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**3 - 3*l**2 + 3. Let c be a(1). Solve 5*d - 2 = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 875.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 9*b - 2*b. Let t be 1\/(-1 + b\/(-2)). Solve -t = -w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-375))\/((-6)\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8368*d**3 + 6125 wrt d.\nAnswer: 25104*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 + 45 = -5*b, 0 = -2*o - 4*b. Suppose -28 - 28 = -4*j. Let r = j + 14. What is the greatest common divisor of o and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 12:17 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 5*u, 2*s + 2*u - 15 = -3*s. Let a be -8*s\/6 - 194. What is the units digit of (-6)\/4*a\/27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 - 124*i**3 + 1080*i**2 - 1232*i - 7840 = 0. Calculate i.\nAnswer: -2, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 47 + 18. Let u = i + 28. Let z(n) = -n**2 + 19*n + 9. Is z(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 3*c**2 - 7*c - 5. Let b be t(-4). What is the common denominator of -21 - (30\/9)\/5 and b\/5*(-30)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**3 - 3*u**3 + 2*u**5 + (-2*u**4 + 2*u**4 - 5*u**4)*(-33*u - u + 80*u) + 3*u**5 + u**5 + 6*u**5.\nAnswer: -218*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4109 and 4109.\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 v when three letters picked without replacement from {o: 13, v: 3}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.94611 litres to millilitres.\nAnswer: 11946.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-21)*7\/3. Let y = 2 - 1.8. What is the third biggest value in y, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869542640.\nAnswer: 2, 3, 5, 7, 61, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 4360 = -10*a. What is a rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 6718350.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((4\/(-6))\/2)\/(228\/(-108)). Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 14*w + 2. Calculate g(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -25*a - 1. Calculate n(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -115\/4 (b) -0.2 (c) -2 (d) 5 (e) 2\/7 (f) -1\/3770\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**9)\/((m*m*m**(1\/3)*m)\/m*m*m)*(m**(-1\/4))**(-1\/25))**(4\/27) assuming m is positive.\nAnswer: m**(1703\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -245513 + -3?\nAnswer: -245516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.92 - -0.08. Let g = 71 + -71.5. What is the nearest to 1\/11 in g, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j**2 + 3*j - 14. Let n(v) = 9*v**2 - 2*v + 15. Give 5*a(w) + 6*n(w).\nAnswer: -w**2 + 3*w + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -654*s**2 - 399*s + 2 wrt s.\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 6 - 7. Suppose -4*i + 3*i = -3*n + v, -41 = 5*i - 3*n. Let b(w) = -w - 10. Calculate b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 12. Suppose -3*y = -2*j - 103, -5*y - 2*j = -w*j - 165. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518\/(-164907) - (-282)\/(-365)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -950?\nAnswer: -954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b + 60. Let z = 32 - b. Suppose -z = -4*d - d. Let v(h) = h**3 - 4*h**2. Determine v(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**3 + 2578 - 6*u**2 - 2578 + (u**2 + 0*u**2 - 2*u**2)*(-1 - 2*u - 3*u + 4*u).\nAnswer: -11*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2521.8927 - -2522. Round k to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -11. Suppose -2*f + p = f. Solve -6*r = -3*r - f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(1900) + 1) - sqrt(19)) + 2*sqrt(2736) + sqrt(2736).\nAnswer: -1 + 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Factor -2*p**5\/7 + 2*p**4\/7 + 4*p**3\/7.\nAnswer: -2*p**3*(p - 2)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 97038.\nAnswer: 194076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 191086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 - 6*m**2 - 271*m - 766. Determine t(-3).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 5:15 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d - 473 = -423 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/5, -6, -3850.7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 49*s**2 + 4. Let r be b(2). Suppose -6*n = 4*n + r. Which is smaller: -135\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 5*r + 1. Let h be s(-3). Let d = h - 4. Is d <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3737 is divided by 918?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 7:03 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 16\/(-576))\/((-8)\/48)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -15*c - 4. Let s(m) = -m**2 - 3*m + 4. Let u be s(c). Suppose u*p + 860 = 4*w, 0 = -3*w - w + 3*p + 857. List the prime factors of w.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w**(-2\/7)\/w)\/w))**(-2)\/((w\/(w\/w**(-2)))\/(w\/w**(-1\/5)*w)))\/((w**(-1\/2)\/w)**38\/((w*(w**(-3\/2)\/w)\/w)\/(w\/(w**4\/w)))) assuming w is positive.\nAnswer: w**(3789\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 31 + 35*l**2 - 39*l**2 + 10 + 21.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 21*c**4\/4 - 2*c**3\/3 - 59. What is the third derivative of b(d) wrt d?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1. Let y(p) be the third derivative of -p**4\/24 + 25*p**2 - 3*p. Determine -4*b(j) + y(j).\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6851274 and 1711560?\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 52*q - 32 - 13 to the form h*q + b and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 3*s - 2. Let r = -22 + 18. Let i be -5*1*r\/10. What is u(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -17*u + 23. Let m(j) = 215*j**2 + 2*j + 2. Calculate m(k(y)).\nAnswer: 62135*y**2 - 168164*y + 113783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 114*k**3 + 2*k**2 - k. Let f = 33575 - 33545. What is the remainder when b(1) is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let c(i) = 27*i - 12. Determine -3*c(l) + 45*y(l).\nAnswer: 9*l + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 10*n + 10 = 11*n, 4*n - 52 = 5*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2302692888 divided by 3\nAnswer: 767564296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (1 - (-44)\/(-12)). Sort -2\/3, w, 5.\nAnswer: -2\/3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(84))\/(sqrt(448) - sqrt(448)*-1) + -3*(sqrt(3630)*2)\/sqrt(10)*-4)**2.\nAnswer: 833187\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 - 143*x**2 + 71*x - 72. Let k be c(-72). Which is smaller: 10\/769 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -250.362 - 0.638. What is the biggest value in -1\/5, -4, 0.4, b, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2201 + 4659 = 686*m. Let w = -5 - -8. Suppose -33 = -w*v + 6. Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23712 to the power of 1\/2, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + -1.5. Let i = -3 + 6. What is the closest to 1 in i, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 - d + d)*(3*d - 29 + 29) - 8*d**2 + 5*d**4 - 11*d**4 + 5*d**4 to p*d**2 + h + x*d**3 + i*d + z*d**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.5, -4, -3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 162?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*b + 92 = 0, -4*o + 27 = 3*b - 41. Suppose -4*r = 2*k - 4 + 16, 4*k - 3*r = o. Suppose -u - 7 = -2*u + 2*f, -2*u + 14 = -k*f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10217, 20333, 30449, 40565, 50681?\nAnswer: 60797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -71, -108, -147, -188, -231, -276?\n\"Answer: -n**2 - 32*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*f + 2. Solve f = -2*z - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((2\/7)\/(736\/28))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 37496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 - 2. Let q be o(1). Let t(m) = -m**2 - 8*m. Let l be t(-4). Suppose 3*b = q*b + l. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 183161, 732677, 1648545, 2930765, 4579337, 6594261, 8975537?\n\"Answer: 183176*h**2 - 12*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 44344 = h - 23365, 3*t - 50775 = -3*h. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/103 (b) -1 (c) 3\/5 (d) -5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*b + 10*b - 129*b + 1768 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -17*m - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 48404*j - 3 - 46496*j to the form x + q*j and give q.\nAnswer: 1908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (8 - 5) - (-34 + 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -7\/60*j**5 + 0*j - 1\/40*j**6 - 9*j**2 + 0 - 1\/24*j**4 - 5\/6*j**3. Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -32\/5*m**5 + 0*m**4 + 25*m - 4 + 0*m**2 + 0*m**3. Differentiate z(l) wrt l.\nAnswer: -128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -2.93. Let q = 0 - 2. Let i = m - q. Sort 1\/8, i, -1\/2 in descending order.\nAnswer: 1\/8, -1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.98 - -0.98. Let c = -0.884 - w. Round c to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*c - 2*c**5 - 8*c + (-2*c**5 + 2*c**5 + c**5)*(-4 - 7 + 2) - 22*c**5 - 26*c**5 + 20*c**5.\nAnswer: -39*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 974 + 518*z**2 - z**3 + z**4 + 2*z + 913 + 1603 wrt z.\nAnswer: 12*z**2 - 6*z + 1036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12021 (base 3) in base 13?\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from zivalzq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*v + 336, 3*v - 64 = 4*q + 132. Calculate the remainder when v is divided by 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -123032 - -214431?\nAnswer: 41344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 49*x**2 + 50*x**2 + 67*x**3 - 107*x**2.\nAnswer: 67*x**3 - 8*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 124 + 131. Let i = 228 - 161. What is the remainder when i is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 4*b - 2*b + 0*b - 3*b + 2*b + (-3 + 2 - 1)*(b + 0 + 0) + (69 - 69 + 2*b)*(3 - 2 - 2) - b + 1 - 1.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.102 - 0.088. Let m = -2.81 + x. What is the closest to m in 0.4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*y + 49 = 0, 7*c + y + 1022 = 1129 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1232\/(-640) + ((-45)\/150*25\/(-30))\/2?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.241391 weeks to hours.\nAnswer: 544.553688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3. Let u = -11 + 11. Let m be g(u). Solve -m*q + 4*a = 16, -2*q + q + 4 = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 2, s: 1, m: 3, u: 2, i: 1}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-280)\/(-2898))\/((64\/12)\/8). Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191\/24 - -25\/3. Suppose n + 1 + 1 = -2*v, 0 = 3*n - 4*v - 14. Let y(g) = g - 7. Let k be y(11). Which is the closest to n? (a) -0.3 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*p - 17 = 0, 2*u = -3*p + 5 + 17. Suppose -u = -x - 3. Let c(r) = r**2 + 2*r**2 + 0*r**x. Let b(a) = -a. Determine c(b(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 3:13 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-7 - (-103 + (8 - (0 + -5)))).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41103 and 6822.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -11*u**6\/15 - 5*u**4\/3 - 23*u. What is the third derivative of h(k) wrt k?\nAnswer: -528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4 + 8*n - 4. Let y(x) be the second derivative of -x**4\/2 - 44*x - 2. Give y(v(z)).\nAnswer: -384*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 167017339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 - -222424001?\nAnswer: 222424120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = -24. Suppose i = 0, 4 + w = 4*s - 2*i. Let a(t) = 5*t**s + 7*t - 53 - 55 + 100 - t**3. What is a(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 - 6*l + 8. Determine w(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d + 71*d - 31*d - 7*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 78038627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1101*l**2 + 15377*l wrt l.\nAnswer: 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 227974 - -2.\nAnswer: 227976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let d be z(-11). Let p be d\/85 - (-57)\/51. Is 33 a factor of (-917)\/(-14) + p\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30370 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let t(w) = 9*w**2 + 57*w + 18. Let v be t(-6). Let h(a) be the second derivative of v + 0*a**2 + 9\/2*a**3 + 24*a. Calculate h(n(m)).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112363428 divided by -2334.\nAnswer: 48142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 901d4 + 10?\nAnswer: 90204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 39*m**3 + 5*m**3 + m**3 - 10*m**3 + 38*m**3 + 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 12*w**2. Let x(c) be the first derivative of 21*c**2 - 219. Calculate x(s(b)).\nAnswer: 504*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 109, 0.5, 2\/55?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2, -10.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(8\/5)*d**4\/d*d*d\/d**(1\/2))\/((d\/(d\/(d**(-1)\/d))*d\/(d**6*d))\/((d**(-4)*d)\/d*d**5)) assuming d is positive.\nAnswer: d**(119\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5))**(-2\/3)*((q**(-1\/4)*q)\/q)\/(q*q**7*q))\/((q\/(q*q*q**0*q))**(19\/5)\/(q**0)**(8\/9)) assuming q is positive.\nAnswer: q**(-83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19058*a - 3053172 + 918676 = 0 for a.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5151 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -1 - 2\/5*s**2 + 1\/10*s**4 + 0*s - 2\/15*s**3. Factor q(z).\nAnswer: 2*z*(z - 2)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -278 and -8.2?\nAnswer: 2279.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, h: 7, k: 1}. Give prob of sequence hn.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 4110 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/14355 and 143\/18.\nAnswer: 28710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3503, -1, 5 in ascending order.\nAnswer: -3503, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 340730 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 = 92*q - 96*q + 3*t, 4*q + 4*t = 1060. Calculate the least common multiple of q and 8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 6*c + 5. Let x be t(5). Suppose 3*b - 12 = -x. Solve -5*g = -b - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1328 times 895\nAnswer: 1188560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, s: 3}. Give prob of sequence ss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h - 5 = 30*h. Suppose d - 2*n = 5*d + 12, d - h*n = -25. Let c(m) = -m**3 - m**2 - 2*m - 2. What is the hundreds digit of c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*f - 36. Find the third derivative of -2*r**2 - r**f + 6*r**2 + 3*r**2 + 12*r**6 wrt r.\nAnswer: 1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**5\/30 - x**4\/8 - 2255*x**3\/6 + 1489*x**2. Differentiate q(l) with respect to l.\nAnswer: 4*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16409*t + 6305*t - 3823*t - 6003*t.\nAnswer: -19930*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 - 0.05. Let q = -377 - -375. What is the second biggest value in -11, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(80)*-1)\/sqrt(5))\/(2*sqrt(200) + sqrt(8)).\nAnswer: -4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4645 is divided by 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5228598597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32493551*c**3*f - 14*c**3 + c**2 - 27*c + 2961 wrt f.\nAnswer: 32493551*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-266)\/(-855)*12\/28?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*d*h**2 - 7128*d*h - 35*h**2 + 65 wrt d?\nAnswer: 8*h**2 - 7128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 - m**5 - 2*m**5 - 6*m**5 + 15*m**5 + 5*m**5 + (m**2 + m - m)*(-2*m**3 - m**3 + 2*m**3) + 5 - 7*m**5 - 5 - 2*m**5 + 2*m**2 - 2*m**2.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3757 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(190)\/(2*sqrt(10)*-4))**2.\nAnswer: sqrt(19)\/2 + 403\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 5, -5 in descending order.\nAnswer: 6, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 + 427094*t\/5 - 45602321209\/5.\nAnswer: -(t - 213547)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 6*v - 2. Let p be j(-6). Let c be (2 + -1)*1 + 3*p. Is c < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 450 = 14*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/9 + 214*w**2 + 2576*w\/3 + 7736\/9.\nAnswer: -2*(w - 967)*(w + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 (base 14) in base 3?\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1244*-1.\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15615072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d - q - 367 = 0, -4*q = -5*d + 1834. Let x = 209 + d. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 28. Let i = -0.07 + -0.13. What is the nearest to -1 in -2, s, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229\/4 - 57. What is the biggest value in 4, x, 2\/5, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p - 3. Suppose 4*q = -4*f - 0*f - 16, -5*f - 4*q = 22. Let h be w(f). What is the third derivative of -h*y**5 + y**2 + y**2 + y**5 wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2901 + -2868. What is the smallest common multiple of w and 2694?\nAnswer: 29634","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -44\/5. Let s = m - -22\/15. Suppose 2\/3*j**4 + 8\/3*j + 8\/3*j**3 + 4*j**2 + s = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 36\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 829.38 to the nearest ten.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, -108 in decreasing order.\nAnswer: 3, 1, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 10*a - 9. Let c be n(-11). Suppose v - c = 2. Suppose 189 = v*x - 575. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-17)\/(-1122)). Let q = -1 + r. Let u = q + -17. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let l be -2*9\/(-6) + -1. Let a(c) = -1 + 1 - 2 + 3. Let z(x) = -x - 5. Let q(s) = l*z(s) + 10*a(s). Determine q(b(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.439 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*-1*-19*120\/(-24).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/24 - 2*q**2 + 4*q. Let p(w) be the first derivative of k(w). Let m(r) = -r. Determine m(p(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*t + 1153 - 333. Let r = -24430 + 96971\/4. Let s = -823\/4 - r. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 15. Suppose 12 = 5*y + 3*r + 24, -3*r - 12 = 4*y. Determine n(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.8198 and -4.\nAnswer: 27.2792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 946830512 + 3*f**2 - 946830512.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 divided by 1.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.417 + 2.583. Suppose -16 = 2*q - 6. Which is the closest to -2? (a) -3 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 194 and -56200.23.\nAnswer: -56006.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 - 2*k**2 + 14*k - 10. Give s(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*f**2 - 20*f**3 + 234*f**2 - 77*f**2 - 75*f**2.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/((x**(-1)*x)\/x))\/((x\/(x\/(x\/((x**(1\/10)*x)\/x*x))))\/x**(-12)) assuming x is positive.\nAnswer: x**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3048 + 3047. What is the closest to 6 in 0.4, z, 3\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202022110212 - -210?\nAnswer: -2202022110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/14577 and 11\/31344.\nAnswer: 152300496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -9) + -1 + -2 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + (-37 - -28).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h - 4. Let o(k) = k**3 - k**2 - 11*k + 11. What is -2*o(c) - 5*r(c)?\nAnswer: -2*c**3 - 3*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100.62 + 102. Let a = z + -1.3800044. Round a to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 49 - 58. Solve 0 = -3*u + d*s - 15, 4*u = 2*u + 4*s - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 92*a - 1964. Give y(-35).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5320 and 210?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.21, 4, -3, -20, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 3.6 (c) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m - 124 + 380. Let h(y) be the third derivative of 11*y**4\/12 - 2*y**3 + y**2. What is the hundreds digit of h(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 1080 = 5*y, -3*k - 5*y = -226 - 390. List the prime factors of k.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (11 + -271 + 8)*((-300)\/(-16))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 11, 24, 39, 56?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5)\/w)\/w*w**(-5\/3)*w**5\/((((((w*w**(-6)*w)\/w)\/w)\/w)\/w*w)\/w) assuming w is positive.\nAnswer: w**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**5\/60 + v**2. Let i(u) = -3*u**3 + 18*u**2 - 12. Let w be 2380\/252 + ((-40)\/18)\/5. Let t(f) = w*o(f) - i(f). Factor t(r).\nAnswer: 3*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -997678 + 1765697. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10897 times 0.4\nAnswer: 4358.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129069 divided by 3?\nAnswer: 43023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.18 - 63.98. Let v = -59 - l. Sort 8, v, 0.3, 1.\nAnswer: v, 0.3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 2809*w + 5 + 2802*w as c + v*w and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/77 and -113\/56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-3\/22)*y\/y**(-1\/3))**(15\/4) assuming y is positive.\nAnswer: y**(725\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - -5*(-3 + sqrt(343))) + sqrt(343).\nAnswer: -15 + 49*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 h, and 1 u when three letters picked without replacement from {h: 4, n: 3, g: 8, u: 4}.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4343*x**4 - 35*x**3 - 414666 wrt x?\nAnswer: -17372*x**3 - 105*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 809792 not equal to 809795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3233 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)*-2)\/((sqrt(100)*-1)\/sqrt(10)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694421 is divided by 242059.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 19386224.1131802.\nAnswer: 19386224.2131802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*i - 10 = i, 3*i = 4*q - 15. Solve q*l - b - 10 = 0, 3*b = -6*l + l + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 596155365?\nAnswer: 3, 5, 13, 1019069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 1:03 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/((-10710)\/80))\/((-40)\/360))\/((-2)\/3)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 119 + x - 129 - 15. Give f(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(396) + 1 + sqrt(396) - sqrt(396) - sqrt(396) - sqrt(396)))**2 + (sqrt(396) - ((sqrt(396) + -1)*-2)**2).\nAnswer: -1176 + 102*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f - f)*(-3*f - 3*f**3 - f**3 + 2*f) - 6*f**4 + 5*f**4 + 0*f**4.\nAnswer: 19*f**4 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.8.\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274782 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5617 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*(a\/(a\/(((a*a**12)\/a)\/a)*a))\/a)\/a)\/(a\/(a\/(a\/(a\/a**(-2))))) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4 + 6*w**3 + 6*w**2 + 2*w = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {b: 6, f: 1, m: 5, t: 5, w: 1, q: 2}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/25 + -43\/175. Let t = 0.86 + -3.86. Sort -0.3, t, h in decreasing order.\nAnswer: h, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.64042l to millilitres.\nAnswer: 50640.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {q: 1, m: 2, g: 6, d: 1, u: 3, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -30*t**2 + 2*t - 2. Give v(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1813 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 434157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*x**2 + 71*x**2 + 70*x**2 + 108*x**3.\nAnswer: 108*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 392.8, 2, 389, 0.3, -2.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12*g = 21. Suppose -13*z - 1080 = -g*z. Let o = 224 + z. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 1569670?\nAnswer: 29823730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -11. Solve -4*z = -j*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 7) + (2 - (-1 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 32*l**2 - 95*l - 333 + 669 - 336 to the form q*l**2 + b + t*l and give t.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2997482625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 50. Solve a = -6*h + 5*h - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/100)\/(-7*12\/7728)*-10.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**4\/6 + 20*a**3\/3 - 13*a**2 - 31*a. Let o be q(19). Solve o = -4*k + k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 16*m + 20. Let o be d(9). Suppose -o*i = -5870 - 2902. Suppose 3*u - 14919 = -i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 12 - 17)*(2*z + z - 2*z).\nAnswer: -66*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 3\/8, -159 in ascending order.\nAnswer: -159, -2\/17, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Let k(l) = 4*l + 10. Let g(d) = -k(d) - 3*p(d). Let j be g(-4). Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12843 and 2592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/199 or 1?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 57800133290 to the nearest one million.\nAnswer: 57800000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8137 rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - -4*322\/12. Factor 1 + 5*j**2 - l*j + 118*j + 4.\nAnswer: 5*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*a = 575*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 698 = -238. Suppose 9*r + y = 5181. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*k - 52. Suppose y - 60 = l, y - 4*y - 5*l = -172. Let n = y + k. Calculate the remainder when n is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 81, 213, 407, 669, 1005, 1421?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n. Give i(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 859*v = 1748*v - 865*v - 624 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 j when three letters picked without replacement from fnppjpxppnppptpnn?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17681 (base 10) in base 14?\nAnswer: -662d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let y be (-11)\/3 + 3\/(-9). Let m(b) = -b. Let c(i) = y*m(i) - 6*x(i). Let h(u) = u. Calculate c(h(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1950*a**3*n + 6513*a**2*n + 184160832*n wrt a?\nAnswer: -5850*a**2*n + 13026*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 28*y - 2732. What is n(-51)?\nAnswer: -1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.1. Let u = 1.115 - -51.785. Let q = 55.9 - u. Put q, r, 4\/3, -0.05 in descending order.\nAnswer: q, 4\/3, -0.05, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from ezzeezzzeezz.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9205*g - 9237*g = -704 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405882983, -405882982, -405882981, -405882980, -405882979, -405882978?\nAnswer: -405882977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*l - 263176 = -64*l + 3*h, -5*l + 3*h = -657913. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 (base 9) in base 10?\nAnswer: 6463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + c + 1. Let l(s) = 4*s**3 - 3*s**2 - 11*s - 3. Let m(i) = l(i) + 5*x(i). Determine m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4789, 9497, 14205?\nAnswer: 18913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -2?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -28, -1, -24846\/11?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 0, -229*p + 8 = -228*p - 3*l. Solve -3*m = -3*q - 3, -3 = 2*m - 3*q - p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8994?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 15*h - 18 = -3*g, 4*g - 5 = 5*h. Let y = -0.04 - -0.14. Which is the closest to -1? (a) 2 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*u + 16, 8 + 2 = 5*r. What is the third derivative of -3*k**2 + 2*k**4 + 4*k**2 + u*k**4 + 0*k**2 wrt k?\nAnswer: 192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + 75. What is the remainder when b is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.10984 + 0.11. Round t to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.467094 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*x + 64*x + 45*x + 38*x + 33*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/31)*y**3*y**14\/y**(-2\/41))**(-4\/19) assuming y is positive.\nAnswer: y**(-86348\/24149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 4*u**3\/3 - 40. Let m(t) = -9*t**2. Give m(y(i)).\nAnswer: -144*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - o - o - 16 in the form m*o + t and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4 - 3 - 8*w - 5*w + 15*w. Let i = -19 + 22. Suppose 25 = i*b + 2*b. Let o(g) = 3*g + 2. Calculate b*o(c) - 8*q(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 198*v**2 + 209*v**2 - 9*v**2 - 71*v**2. Let o(w) = -2*w**2. Calculate o(m(p)).\nAnswer: -213858*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89474 = -9*v - 68*v. Put 5, 3, 0, v in increasing order.\nAnswer: v, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u - 53*u = -11 + 89. Solve 2*q = -3*p - 19, 146*q - u*p - 5 = 141*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75245619 to the nearest integer?\nAnswer: 8674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8147778, 16295569, 24443360, 32591151, 40738942?\n\"Answer: 8147791*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a - 2. Let p be n(6). Suppose 20 = p*m + 3*d, 0 = 3*m - d + 2 - 4. What is the remainder when 17\/5 - 4\/10 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1875.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -9 - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -343. Suppose 4*a + 2 = 2*a. Which is bigger: a or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -9. Calculate the greatest common divisor of 20 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0929562783 to four dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*t**4 - 19*t**5 + 6*t**5 + 10*t**4 - 9*t**2 wrt t?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/13 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/18 - 14\/(-63). Suppose -r*o - 4*p = 12, -3 = 4*o - p - 15. What is the greatest common divisor of o and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 - 10*q + 9. Let u = -529 - -520. What is the hundreds digit of k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k + 55. Let a be t(5). Suppose 11 = 3*w + 5. Solve 5*s - w*b - a = 0, 0*b = -2*s - 3*b + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + -5.4. Let a = -6.97 - b. Let s = 0.13 - a. What is the nearest to 2\/7 in s, -1, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1010001101001?\nAnswer: -1010001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -61. Let m be p\/(-2) - (-319)\/22. Find the second derivative of -12*f - 13*f + 21*f + m*f**2 wrt f.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010087774 rounded to 5 dps?\nAnswer: 0.01009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a\/a**3)\/a)\/a)\/a)\/(a**2\/a)*a\/a**(-1\/2)*a**(-6)\/a assuming a is positive.\nAnswer: a**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10137 and 1152.\nAnswer: 3892608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 - 2*t**3 + 2*t**3 + (-t**2 + t**2 - 2*t**4)*(4 - 3 - 4).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/5)*u**6*u**(-2)\/(u*u**(-2\/5)*u)*((u**8\/u*u)\/u**(2\/33))\/(u**(-4)\/((u\/u**(-6))\/u)) assuming u is positive.\nAnswer: u**(3554\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z - 99. Let q(j) = 17*j. Give q(f(s)).\nAnswer: 102*s - 1683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -52. Let v = -58 - x. Let q(k) = 4*k**2 - 2*k + 0 - 7*k**2 + 1 - k**3. Give q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0*f + 0*f)*(-9 - 11 + 7) in the form l + w*f and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = 32*p + 2*q + 47, 5*p + 2*q + 53 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27430 (b) -3 (c) 2\/9 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*(-7)\/(84\/(-8)). Let j(o) = 34*o - 33*o - 5 + 7*o. Let h(u) = -8*u + 4. Give s*j(k) - 5*h(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.2 + 75.8. Let w = -93.9999865 + f. What is w rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.705 + -4.8. Let j = -0.02 - g. Let z = j - 0.07499951. What is z rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4753\/3470 + 21\/694. Let q(d) be the first derivative of -8\/5*d**3 + 0*d - g*d**4 - 4\/25*d**5 - 5 + 0*d**2. What is x in q(x) = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7554 (base 14) to base 16\nAnswer: 4f26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 y, and 1 a when four letters picked without replacement from opyayqyaappapyp?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/(-3)*((-28245)\/6)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1760*p**2 + 20357*p**2 - 3.\nAnswer: 22117*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21216 and 1711645?\nAnswer: 164317920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7663?\nAnswer: 79, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7424, -7449, -7474, -7499, -7524, -7549?\nAnswer: -7574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-36)\/8)*(71\/142)\/((-8)\/38)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 5. Suppose 3*d - 164 = 3*h - g*h, 0 = -d + h + 50. Let s = -33 + d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**5\/60 + a**4\/2 - 5*a**3\/2 - 29*a**2. Calculate s(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.149184538 rounded to 4 dps?\nAnswer: 9.1492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 127*n**2 - 1900*n - 69. Calculate s(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1096 + -963. Calculate the greatest common factor of v and 9709.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 - (225\/(-110) - -2) and 35\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) 3.3 (b) 1 (c) 0.4 (d) -2\/5 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 60963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970351, -1940702, -2911053?\nAnswer: -3881404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3*a - 1. Let z be s(4). Let y be (-2)\/(-9) + (-158)\/(-18). Let j = y - z. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 211?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:44 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -6*w - 109. Suppose 49 = -5*l + w. Suppose 3*q = 7*q - l. Calculate the remainder when 11 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 0.18, -14393?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -631 - -630.7. What is the closest to 0.02 in 0, -5, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -3.1\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ntthhuhttuhttnhntthh.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.47 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-12)*2\/(-4) + 3. Solve -3*j = 2*r - 2, s*j - 26 = 4*r - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6 = 0, 2*j + 10 = -0*f + 3*f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 591*x**3 - 2*x**2 + 1. Let z be n(1). Suppose 29045*r - 20 = 29043*r. What is the greatest common factor of z and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*y = 32, -3*t = -3*y + 38 - 32 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Suppose -a = 4*t - 1384, 2*t - 2*a + 24 - 706 = 0. Suppose -2*f = u*f - t. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/13, -7, -16\/7 in decreasing order.\nAnswer: 0.2, 2\/13, -16\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -4\/159770777 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/248721039 and 44\/587993.\nAnswer: 248721039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(396)*6)*5)**2*-1.\nAnswer: -356800 - 7200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 6 + 28*f + 19 in the form m*f + p and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20265 + -20264. Sort 2, -3, m, 48, -5 in ascending order.\nAnswer: -5, -3, m, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9897*o - 712592. Give m(-72).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**2 + 4*b**2 + 1 - b**2.\nAnswer: 17*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4287 - 2394. Let p = -1040 + h. What are the prime factors of p?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**6\/15 - 61*v**5\/10 - 437*v**4\/2 - 11191*v**3\/3 - 27436*v**2 + v - 24. Suppose d(z) = 0. Calculate z.\nAnswer: -19, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**2 - 4*m + 2. Let a(z) = -17*z**2 - 9*z + 5. Determine 6*a(t) - 13*h(t).\nAnswer: 2*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/((-1)\/(-116)*-2). Factor l*i**4 - 175*i**4 - 6*i**3 + 86*i**4 - 4*i**2.\nAnswer: -2*i**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let f(k) = 17*k - 270. Let z be f(16). Does 3 divide ((z - d) + 8)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*z + 97 = -265, -214 = -3*n - 2*z. Calculate the greatest common factor of 48 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g + 15. What is p(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -90 + 94. Suppose 5*o = -3*d + 12, 11 = a*d - 4*o - 5. Suppose 3*w = -d*c + 3500, 0*w + 3*c - 3495 = -3*w. What is w rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 2*v**5\/55 - 5*v**4\/11 + 64*v**3\/33 - 32*v**2\/11 + 111. Factor b(k).\nAnswer: 2*k*(k - 4)**2*(k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -597 = -40*g + 603. Solve -g = -1761*b + 1755*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 22 + 63. Suppose -416 = -f*y - 3*l, -4*l = -3*l - 2. Calculate the remainder when y is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 129*j**5 - 175704*j**4 - 167655*j**3 + 8178*j**2 = 0.\nAnswer: -1, 0, 2\/43, 1363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105172438 - -105172440.10000049. Let g = 1.81 + 0.29. Let h = g - b. Round h to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*g - 5*g + 2*g)*(2*g + 1 - 1) + (4 - 1 - 2 + 2*g)*(-26*g + 104 - 104))*(1 + 2 - 6) to n*g + m*g**2 + j and give n.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*i**3*m**3 - i**3 - 1476*i**2*m**6 - 176*i**2*m**2 + 7*m - 2 wrt m.\nAnswer: -96*i**3 - 177120*i**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Put 5, x, 2 in decreasing order.\nAnswer: 5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 6, -3.\nAnswer: -3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -174 - 7*r**3 + r**2 - 15*r + 359 - 183 + 2*r**3 - 5*r to the form l*r + d + g*r**3 + w*r**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 38 - 59. Sort 4\/3, -0.2, 2, l in decreasing order.\nAnswer: 2, 4\/3, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k - 10 = 3*l, l - 15 = -3*k. Let i = 36 + -34. Let o(v) = 0*v + 2*v + 3*v**2 + 5 - 5*v**2 + v**i. Give o(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.3 (c) 0.05 (d) -42 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543*i**3*r**4 - i**3*r**2 + 2*i**3*r + 3*i**2*r**6 - 126*r wrt r?\nAnswer: 13032*i**3*r + 360*i**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-2)*42\/(-35). Suppose 3*f - r = 2*r + 24, -d*r = 4*f - 39. Suppose 5*h + 15 = -5*u, 4*u + 3*h = f*u - 25. Solve u*q = -2 - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71.3 - -67. Let a = 8649123.6999988 + -8649128. Let g = a - v. Round g to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27959, 111907, 251835, 447737, 699607, 1007439, 1371227, 1790965?\n\"Answer: -m**3 + 27996*m**2 - 33*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43013103 (base 5) in base 16?\nAnswer: 57fd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d + 1350 = 0. Suppose 7*t - 29295 = 16*t. What is the common denominator of 52\/5 and t\/d + (-4)\/(-3) + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -10. Let o(k) = -k**3 + 7*k**2 - 5*k - 3. Let m be o(6). Let n(d) = m + 2 - d - 8 + 0. Give n(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by 206732\nAnswer: 147\/51683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -13*l**2. Let f(a) = 74070477*a. Give f(j(k)).\nAnswer: -962916201*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8037, -8017, -7971, -7887, -7753, -7557, -7287, -6931?\n\"Answer: 2*i**3 + i**2 + 3*i - 8043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 145 + 70 + 182*a.\nAnswer: 182*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-65) + (-192546936)\/117. What is x rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-9)\/(19 + (-682617)\/35926)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -196815 + 6887943\/35. Let o = b + 81\/5. Sort 0.1, o, -0.5 in descending order.\nAnswer: 0.1, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 3:56 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -4*a**4\/3 - 40*a - 1. Let j(x) be the first derivative of 2*x**3\/3 - 1. Calculate j(k(h)).\nAnswer: 512*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 25433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1947 and 26019.\nAnswer: 286209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12069*d**5 + 2*d - 8028.\nAnswer: -241380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -86541.\nAnswer: 1\/28847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-30)\/216*-76*-3)\/((-5)\/15) is divided by (2 - 0) + (-10)\/(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 479045*t**6 + 1184817*t**2 wrt t.\nAnswer: 57485400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -181478166 divided by -3\nAnswer: 60492722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 883*c - 1431*c + 545*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6931*a**3*l**3 + 527*a**3*l**2 - 2*a**3*l + 2*a**2*l - 2*l**2 wrt l.\nAnswer: -41586*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.251 and 387.\nAnswer: 385.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -343, -346, -349, -352, -355, -358?\n\"Answer: -3*y - 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/13 - 24*v**3\/13 + 58*v**2\/13 + 24*v\/13 - 56\/13 = 0.\nAnswer: -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 3*l**4 + 0*l**4 + (-7*l**4 - 8*l**2 + 8*l**2)*(-4 + 3 - 2) + l**4 - 2*l**4 + 4*l**4 + 2*l**2 - 2*l**2 + l**4 - 2*l**3.\nAnswer: 26*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 500*k + 14. Let z(j) = 38*j + 1. Let r(x) = -q(x) + 13*z(x). Suppose 8 = -0*m + 2*m. Suppose -g = -m*g - 3. What is r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1923 + 3837. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935178 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/234)\/(1\/(27\/4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 218? (a) 1 (b) 3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3*32\/24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 50*f + 60. Let u be s(31). What is the highest common divisor of u and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a hour in seconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t + 63. Let g = -4 + t. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(9*(-14)\/21 - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 10*d**2 + 11*d + 2. Calculate x(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 6. Let w be o(-10). Let f be (0 - -3) + w + 3. Solve -5*d = -f*p - 35, p = -0*p - d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24146*s + 96583. Determine l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 45*f + 39 = 0, 2*d - 370877*f + 370873*f + 8 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -95.1298 from -62.\nAnswer: 33.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1933.3, -1\/175, -1, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 21?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11270, 21478, 31686?\nAnswer: 41894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.9 or 7788.1?\nAnswer: 7788.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17519\/28 - -4378\/7. Which is the biggest value? (a) r (b) 0.65 (c) -14 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 13. Suppose 6*k = 11*k + 40. Let r(n) = -2*n - 16. Let g be r(k). Solve -5*u + 30 = m, g*u + 2*u - 20 = -v*m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 503409347 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 323*z**3\/3 - 229*z**2 - z - 600. Find the second derivative of k(c) wrt c.\nAnswer: 646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-308)\/(-42))\/(10\/(-15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29423195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let t be v(0). Let z(j) = j + 11 - 2 + j**3 - j**2 + t*j. Is z(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221956567 = 7*g - 58856567. Round g to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25479243 and 1382?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1da1 (base 15) to base 16.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41*-18017.\nAnswer: 738697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*x + 120, 2866*x - 2863*x - 82 = -k for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 50, 2\/15 in descending order.\nAnswer: 50, 0.2, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 4, 3, -310, -1 in decreasing order.\nAnswer: 4, 3, -1, -63, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.6 + -8.6. What is the nearest to 0.1 in 0.3, 2\/5, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 33 - 28 = -4*g, -4*p - 5*g + 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*i + 12, -3*q - q + 3*i + 23 = 0. Suppose -2*t = 4*u - 24, 8*u - 9*u - 16 = -5*t. Suppose -u*o - q = -4. Let w(m) = -11*m - 1. What is w(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let d(m) = -1406*m**2 - 163*m. Determine d(x(z)).\nAnswer: -5624*z**2 - 326*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.4. Let i be (11\/(-242))\/((-1)\/(-4)). What is the closest to t in 0.2, -3\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -0.14, 2\/57, 14, -9?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, s: 1, k: 2, u: 2, b: 5}. Give prob of sequence uusb.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**2 - 1. Let a(i) = -37*i - 186. Let n = 161 - 166. Let w be a(n). Determine x(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.0079 rounded to one dp?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10922 = 2*x + 3*r, -10*r = -5*x - 13*r + 27278. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -675*v**2 - 114776 + 114788 + 73*v**2 + 1802*v.\nAnswer: -2*(v - 3)*(301*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 + -40. Suppose -2*r + r + n = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/108 and -101\/114.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**19*f*f**(1\/35) assuming f is positive.\nAnswer: f**(736\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 304 and 24?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 96 + -3?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 22830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2643 + -865. Does 127 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 8:30 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 54\/(-30)*(-50)\/30. Solve z*w = -3*f - 9, -w - 4*f - 7 = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2282543.8 and 0.053.\nAnswer: 2282543.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*v**5 + 8*v**2 - 13*v wrt v.\nAnswer: 3300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (98 - -2)\/5 is divided by (-410)\/(-35) + (176\/28 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*q + 150*q - 2340135 = 166*q. Is 51 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -21610426?\nAnswer: 21610415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(56)\/(sqrt(4) + -1*sqrt(4) - sqrt(4)))\/((sqrt(8) + sqrt(128))\/sqrt(4)).\nAnswer: 3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1268848)\/(-42) - 10\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egtgwtvtvtvggzzgvvtw. Give prob of sequence tgw.\nAnswer: 5\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 1, 0.24, -0.1?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*g - 120, -12*g - 120 = -5*s - 9*g. Calculate the greatest common factor of 1308 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61177a (base 16) to base 12.\nAnswer: 216a362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 222012021 (base 3) to base 15\nAnswer: 59d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 817 - 813. Let s(f) = f**2 - f + 5. Let b be s(0). Suppose -2*n - n = b*z + 10, -4*n = z + 2. Solve n = i*o + 4 + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-193)\/(-7) - -7 - 4\/7 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:00 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 11:51 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -h**2*r**2 - 68*h**2 - 374074*h + 5074127*r**2 wrt r?\nAnswer: -2*h**2*r + 10148254*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxcxpnppoxnnno. What is prob of sequence po?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 24. Let x be m(-7). Let i be (-95)\/(-3) + x\/(-12). Differentiate -6*b**2 + i*b**2 - 7*b**2 + 4 wrt b.\nAnswer: 38*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5710596.\nAnswer: 2, 3, 89, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a kilogram in grams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2846, 8 in decreasing order.\nAnswer: 8, -2, -2846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 380\/25 + -8 + -8 + (-95)\/(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 39, 54, 67, 78, 87?\n\"Answer: -k**2 + 20*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 10 + 22. Is 15 a factor of 1 - (3 + n*4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/270 and 43\/1250.\nAnswer: 33750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6 = 4*b. Let f be 4\/(b*(-8)\/36). Is -1 - f*8\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 9*o - 10. Calculate j(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*p + 852, 0*i + 556 = -2*i + 2*p. Let a = 443 + i. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (sqrt(130)*-1*-4 - sqrt(130))) - sqrt(130))\/sqrt(10) - (sqrt(208) + sqrt(208) + 0 + -5)**2.\nAnswer: -857 + 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 + 12 - 12)*(0 + 0 - 2) + 77*y**3 + 1 - 51*y**2 + 51*y**2 as c + o*y + x*y**2 + v*y**3 and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + t + 7 = 10*z, 0 = -5*t - 5. Suppose v - 31 + z = 5*w, 0 = -v + 2*w + 14. Solve 15 + 1 = -v*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 10. Let t be 5\/4 + -1 - (-35)\/20. Let z(c) = -c**3 + 2*c - 3. Let y be z(t). What is s(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -3 (c) 30\/7 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 12\/25271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 1053*z**2 - 1085*z**2 - 44.\nAnswer: -32*z**2 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 21*z**2 + 38*z. Let i be n(-19). Solve -20 = 5*d, -3*a + 23 = -i*a - 5*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.015 - -1.285. Let r = -1.299974 + l. Round r to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 360.3 + -353.3. Let u = -95\/11 - 603\/55. Let r = u + 872\/45. What is the nearest to 0.2 in d, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4*(-8)\/112*-7. Solve 7*o - 10 = i*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 450 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)\/(h**(-7\/10)\/h) assuming h is positive.\nAnswer: h**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 180, 146, 100, 36, -52?\n\"Answer: -g**3 - 27*g + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from yivy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112.940532 + 19.943178. Let v = c - 132.9. What is v rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 0*t**3 + 4*t**2 + 4*t - 11*t - 9. Let g(m) = m**3 + 2*m**2 - 3*m - 4. Let q(b) = -9*g(b) + 4*o(b). Does 12 divide q(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, l: 1, z: 2, t: 1, p: 5, b: 1}. What is prob of picking 1 z, 1 t, and 1 k?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-64)\/48 + 349\/3.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*a + 64*a**3 + 17*a - 67*a**3 + 2*a**2)*(-4*a - a - a) to q*a**2 + m*a**3 + o*a**4 + c + u*a and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-4)\/(-112)*-7)\/(7\/(-49))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*c - 77 - 293. Sort -2, c, 0 in ascending order.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t + 2*t)*((6 - 2 - 2)*(0 + 1 - 2) - 2 - 1 + 0).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/3 - 17*o**3 - 96*o**2 + 400*o\/3 + 896.\nAnswer: (o - 56)*(o - 3)*(o + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -34923738\nAnswer: 5\/34923738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5 + 11. Is 11 a factor of 10\/(a\/12 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-27666)\/24)\/(-29) + 6\/(-8) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10*i - 80874 = 0. Let m = 28725 + i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 4)*(-2*n - 17*n + 4*n) - n + 2*n - 3*n to the form m*n + j and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48537 and 9981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -24120051104?\nAnswer: -24120051102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 332*f**2 + 3*f + 1009 wrt f?\nAnswer: 664*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -p + 3, 2*u - 7*u = 5*p - 35. Solve p + 7 = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1 + 0)\/7. Let f(a) be the third derivative of -a**5\/60 + 3*a**4\/8 + a**3\/6 - 5*a**2. Let h be f(9). Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 569 = 4*o - 536, 2*r + 6*o + 40 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 10*q**2 + 4*q + 125. Let c be y(11). Solve 0 = 50*u - c*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((23 - 13) + -39 + 16).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3 + 1285*p**2 - 7746*p = 0.\nAnswer: -1291, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.728 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(sqrt(98)\/sqrt(448))\/sqrt(7).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -98 (b) 2\/5 (c) -2 (d) 10 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1115395 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 15*g**3 + 0*g**2 - 5 - 17*g**3 + 2 to h + c*g**2 + w*g + f*g**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let n = 175 + -349\/2. Let m(h) be the second derivative of -2*h + n*h**3 + 0*h**2 + 0. Calculate i(m(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, -2\/3, -0.1 in decreasing order.\nAnswer: 4, 1\/2, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 + -3.94. Let h(p) = p + 7. Let w be h(-6). What is the closest to -1 in w, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, 3, -4, 4, 9 in decreasing order.\nAnswer: 9, 7, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + v = -3*v + 3704, w - 906 = -5*v. Let k = -926 + w. Solve 4*l = 3*q + 13, 2*q - 6 = -k*l + 16 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002062309 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 - b?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d**(-1\/4)\/d))\/d))\/d)**(-2\/23)\/(d**2*d*d)**39*(d\/d**(-9))\/(d**3\/d)*d*d**(-4)\/d*d*d*d\/(d**(-2)\/d)*d assuming d is positive.\nAnswer: d**(-6665\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2166 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*m + 2*m = -12, 0 = -2*k - m + 3. Let y(x) be the first derivative of 3 - k - 4*x - 2 + x**2. Calculate y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - (-34 - -10)) + (-2 - -3) - -50?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9674 or -848?\nAnswer: -9674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - s - 32 = 0, 0 = -3*w + w - 4*s - 2. Suppose -12 = -5*f - w. Let l be f\/5*4 + 3468\/(-85). Round l to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61.8 - 62. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 139602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 52 = 3*f, 3*b + 2*b = -5*f - 85. Which is greater: f or -19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 17*v**2 + 3317*v + 56373. What is w(-17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -262 - -669. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + 10\/(-4))\/((-2)\/(-12)). Suppose 5*m + z*m = 70. Let f(k) = 8*k - 7. Determine f(m).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 7*i + 4. Let f be j(-7). Suppose f*r + r = 110. Let t be r\/6 - (1 + 1). Are t and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 3 - (-134147)\/17 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -26. Let n = 1 - i. What is the third smallest value in n, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 5*c + 1. Let y(z) = -z**3 + 8*z**2 - 7*z + 3. Let q be y(7). Suppose q*w = 4*j + 1 + 13, -3 = -3*j. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**6\/120 - a**5\/15 - a**4\/12 + a**3\/2 - 1440*a**2. Suppose 0*u + 3*u = 6. Determine y(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/2 and -3 - (-126)\/20*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -10, 1, 136 in ascending order.\nAnswer: -10, -2, 1, 3, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g - 6*g - 21*g**3)*(3 + 2 - 1)*(-1 + 5 - 2) as w*g + m*g**2 + u*g**3 + b and give u.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1606, -1616, -1640, -1684, -1754?\n\"Answer: -g**3 - g**2 - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, m: 5}. Give prob of sequence nnnm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:44 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40579.64 centimeters in nanometers?\nAnswer: 405796400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 1. Let a be n(1). Let m(o) = -1 + 1 + 1. Let b(j) = j + 6. Let z(h) = -b(h) + 6*m(h). Calculate z(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 708442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**5 + i**3 - i. Let y(n) = -n**5 - 3*n**4 + 11*n**3 + 15*n**2 + 4*n. Let z(f) = 2*j(f) - y(f). Determine s so that z(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*5\/100 - 62\/(-8). Let r be 1*(-40)\/((-1)\/1). Calculate the greatest common factor of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2259043 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -65 (b) 210 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 269 and 268 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260400 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 43392*x + 1174500.\nAnswer: -4*(x - 10875)*(x + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6 - 0)*(-105 - -96)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175162 and 3770?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.167304 + 165.\nAnswer: 164.832696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and 0.1?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4473636*i**6 + 287739*i**2 - 2*i.\nAnswer: 536836320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 k when four letters picked without replacement from {k: 3, e: 7, p: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36405\/3851 or 9?\nAnswer: 36405\/3851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - 0\/((-6)\/(-3)). Let n = r - -4. Let o be 1\/n - (-14)\/4. Solve 3*u + 1 = o*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4)*(1 - -3). Suppose i - 49 = -f, 2*f + 5*i = k*i + 94. Let p = -15 + f. Calculate the highest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44294258.\nAnswer: 2, 22147129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5517\/4 - 1379. Let c(o) be the third derivative of 0 - 1\/15*o**5 + 0*o - 9*o**2 + 0*o**3 + b*o**4. Find the second derivative of c(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2924 + -2064. Let y be n\/14 - 66\/154. Find the third derivative of -y*h**5 + 61*h**5 + 6*h**6 + 7*h**2 wrt h.\nAnswer: 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 14*n - 6. Let y(p) = -5*p + 2. Let r be ((-376)\/56 - -7)*7. Suppose -16*a - 3*m + 15 = -11*a, 0 = -3*a - 4*m - r. Calculate a*f(k) + 17*y(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/2 (b) -2 (c) -2\/11 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*f**5 + 98*f**3 - 3348*f wrt f.\nAnswer: -160*f**3 + 588*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -98. Suppose t*m - 321 = 2*k, 519 = 5*m + 4*k - 2*k. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 2476\nAnswer: 99.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {u: 2, c: 3, d: 1, a: 4, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, c: 3, d: 2, w: 2, f: 6}. Give prob of picking 1 j, 1 c, and 1 f.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*z**2 + 80*d**2*z - 90*d**2 - 4 with respect to z.\nAnswer: 2*d**2*z + 80*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:59 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 435 (c) 42 (d) -0.2 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - 0.2. Let n be (-21)\/18 + 6\/9. Which is the nearest to 1? (a) n (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 2184996.\nAnswer: 21849960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {d: 3, u: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9139*l**2 - 9547*l**2 + 5131*l**2.\nAnswer: -13555*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**2 - 1248*x - 2512 = 0.\nAnswer: -2, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2*j + 669 = 751, 2*j = 5*s + 177 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/(-112) + 1\/2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5 + 3*(1 + sqrt(80)))*-5 + -2)**2.\nAnswer: -960*sqrt(5) + 18065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1120*-32.99.\nAnswer: -36948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2102110200221?\nAnswer: 2102110201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/4)*u*u*u**(1\/11))**(-31))**(-15) assuming u is positive.\nAnswer: u**(37665\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54752 divided by 944.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558300 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1871215 and 0.065?\nAnswer: -0.0121628975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69.8 - -67.568. Let c = p - -3.46. What is c rounded to 2 decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75652061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 153*f**4 + 5*f**3 + 5*f + 196. Let d(p) = 152*p**4 + 6*p**3 + 6*p + 197. Let w(z) = 5*d(z) - 6*g(z). Differentiate w(l) with respect to l.\nAnswer: -632*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:54 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1277 + -695. Suppose -o = -11*f + 1167. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -225*k + 12291058. What is the thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -463 and 1.951.\nAnswer: -461.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12604 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0 + 0 - 1 - w + 1 + (4 + 9 - 6)*(-2*w + 3*w - 2*w) - 41*w - 39*w + 11*w to the form l*w + c and give l.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2*h - 1 - 1\/3*h**3 - h**2. Let y(k) = -k**2 - 3*k + 3. Let q = -166 + 169. What is q*z(n) - 2*y(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 4, c: 3, k: 1, m: 1}. What is prob of sequence kcn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56.9 + -57. Let r = -3 + 2.94. Is z < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7647? (a) -2\/3 (b) -2\/5 (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + 6702\/27. Suppose -325 = -11*k + 918. Suppose 4*b - 195 = -5*a + k, 4*b - c = -4*a. Does 30 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3927, 3736, 3543, 3348?\n\"Answer: -z**2 - 188*z + 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((1*-2)\/((-18)\/(-9))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537 - -0.249037.\nAnswer: -536.750963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100836461 < 1100836462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -9\/1810?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4212 = -1086. Suppose 1578 = -2*x + 2*r, 5*x + s = r - 1292. What is the remainder when 105 is divided by 16\/88 + x\/(-22)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/3 + 8053598*r**2\/3 - 136910552*r\/3 - 48321384 = 0.\nAnswer: -1, 18, 4026782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101111 (base 3) in base 13?\nAnswer: -35a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 842.8773 to the nearest 10.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 367, 379, 391, 403?\n\"Answer: 12*x + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 27*j**4\/4 + 20*j**3\/3 - 23. What is the third derivative of w(u) wrt u?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.510906 times 0.32\nAnswer: -0.16348992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 + (-8 + 3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3.8 (c) 0.2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 1 - -1 - -750003. Let p be 1\/((-2)\/6) + n. Round p to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = -4*y, -19 = -5*s - 4. Solve -p - 28 = -5*j, -2*p + y*j - 1 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1852 divide 132792750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151551 and 15344071.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:22 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a03 (base 13) in base 9?\nAnswer: -15335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -12*m**3 + 3*m**2 + 5 - 4*m**2 - 3 + m. Let b be 5\/(-15) + (-4)\/6. Let u be y(b). Solve -3*f - f + u = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hllhllll. What is prob of sequence ll?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4))\/((10\/(-8))\/5). Suppose -v + 8 = 3*l, -o - 35 = -3*v - 2*l. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1308*h**2 - 271*h**2 - 58*h**2 + 3*h + 50*h**2 + 61 - 1099*h**2 wrt h.\nAnswer: -5372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 4. Let s be i(4). Suppose s = -4*a + 3*j + 29, 3*j = -5*a + 5*j + 31. Let b = -2 + 2. Solve b = -a*v + 11 - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 5:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54731829 is divided by 2720?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1035202, -1035205, -1035208, -1035211, -1035214?\nAnswer: -1035217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3998\/(-23868) + (-28)\/68*(-6)\/21 and -59\/126.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9707 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 5*h + 5, 2*h + 2 = 2*u. Solve u = -3*p - 0*p - t - 3, -5*t - 2 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 30. Let r be s\/5 - 8\/20. Suppose 179 = -m - 3*g, -r*g = -m + 3*m + 346. Round m to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 + -29. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -57, 484078 in ascending order.\nAnswer: -57, 0, 484078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 16912 = -29288. Round c to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 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 prob of picking 1 p, 2 r, and 1 o when four letters picked without replacement from {o: 9, r: 2, f: 4, p: 4}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 3b64d33?\nAnswer: 3b64d32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3268.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69198 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 12*o**2 + 22*o. Let y be t(-9). Let m be -8 + (10 + 0)*(-18)\/y. Calculate the remainder when 29 is divided by -2 - 231\/m - 12\/(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k**(-1)\/k))*k*(k\/(k*k\/k**(2\/19)*k))\/k*(k**2*k)**7*(k\/k**(-1))**(-17\/4)\/(k**(-1)\/k)**28 assuming k is positive.\nAnswer: k**(2455\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110 (base 2) in base 8?\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 483 or 1?\nAnswer: 483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 + -20. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13*v**2 + 3*v + 5. Let s(z) = 13*z**2 + 2*z + 6. Let l(i) = -6*s(i) + 4*w(i). What is the first derivative of l(q) wrt q?\nAnswer: -52*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 21 = -b - 7, -10879*b + 10884*b + 112 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/2297 (b) -26 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + -7 + (-1 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) -0.08 (d) 44.9971 (e) 0.1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.05007\nAnswer: -0.25035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -420423 (base 6) to base 7.\nAnswer: -200463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 532, 795?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52303 and -0.2.\nAnswer: -10460.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q - 31. List the prime factors of t(-19).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21462702.\nAnswer: 2, 3, 101, 107, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**4\/4 - 10*h**3\/3 + 13*h**2\/2 + 23*h - 115. Does 24 divide w(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -228558.\nAnswer: 7\/228558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 2*l**2 - 5*l - 3. Let t(d) = -5*d**3 - 9*d**2 - 25*d - 15. Let o(j) = 2*t(j) - 11*w(j). Let v be o(-3). Let h = 3 + v. Sort h, 4, 1.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51777 or 43343?\nAnswer: 43343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -8*y + 5*y. Suppose -3 = -2*t + y. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(4 - 36\/8). Let v = u - -2. Calculate the remainder when (-124)\/(-2)*(-1)\/(-2) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*a + 4*s, 0*s - 60 = -3*a - 3*s. What is the common denominator of 61\/6 and -1 + 2 - 164\/a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -57563 + -5?\nAnswer: -57568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 3:05 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 1.6\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r. Let z(g) be the second derivative of -5*g**3\/6 - 61*g**2 + 778*g + 2. What is z(y(t))?\nAnswer: -10*t - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-8) + (-7292)\/(-29360). Let p = q - -89933\/11010. What is the common denominator of -25 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/15*25\/(-265). What is the nearest to -2\/5 in d, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1815850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 6. Suppose -q + 0*q - 2*s = -w, q - 5*s = 1. Let n = 8 - q. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23415*s + 524*s + 23466*s - 8568*s + 1631*s.\nAnswer: 40468*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.47 in 0.4, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.1. Let u(s) = -s**3 - 14*s**2 - 9*s + 54. Let v be u(-13). Which is the closest to l? (a) -0.3 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-2) - (-158 - 43691).\nAnswer: 3, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k + 160*k - 6*c + 52 = 0, 2*k = 8*c - 60 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 390 + 4*c**2 - 390 + 804.\nAnswer: 4*c**2 + 2*c + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m**5 - m**3 - 21*m**2 - 5308*m?\nAnswer: -220*m**3 - 6*m - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7034216491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y + 36482*j - 13 = 36476*j, -3*j = -5*y - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 23 + 36)*(-1 + 1 - 7)*(-n + 0 + 0)*(4*n - 6*n + 0*n) as t + g*n + f*n**2 and give f.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2530630 divided by -10?\nAnswer: 253063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voiiviopvvp. Give prob of sequence vvv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -169. Let t = 652 + k. 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: What is the next term in -11842, -12020, -12198, -12376, -12554, -12732?\nAnswer: -12910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 103*o + 490. Let j be p(-5). Solve z = 4*q + 17, j = 3*z + q + 9 + 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1187 and 235112651?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qarqqqaq. Give prob of picking 2 a, 1 r, and 1 q.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250480?\nAnswer: 2, 5, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/4 + 5*i**4\/2 + 17*i**3\/2 + 13*i**2 + 37*i\/4 + 5\/2 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-42 - -20 - (0 - 2))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.08 (b) 2\/5 (c) -65\/6 (d) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51289 - 0.0258214.\nAnswer: -51289.0258214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 501825531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 20. What is the derivative of -12*j**2 + 12*j**2 + 4*j**4 + 4*j**v - 10 wrt j?\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8cb (base 13) in base 9?\nAnswer: -2067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14753820 and -133\/6.\nAnswer: 14753820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - r**2 + 2*r + 68. Calculate the remainder when p(0) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 700*u - 3 + 2019*u.\nAnswer: 2719*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269211723 divided by 33?\nAnswer: 8157931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 55199 = 198586. Let k = 42846 - b. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5070079 and 126?\nAnswer: 91261422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/6 + ((-126)\/8)\/(4648\/(-2656))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 270466300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 5*l + l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 2*f + 4. Let w(c) = c**3 + 4*c**2 - 4*c + 1. Let y = -9 + 6. What is the remainder when w(y) is divided by x(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -u - 8, 4 = 5*u + 2*q - 2. Let c(w) = -u - 2*w + 336*w**2 + 4 - 1. Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l + 53. Let w(q) = -2*q**2. Calculate c(w(i)).\nAnswer: -16*i**2 + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000058913602 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1329 + 2831 = 12*c + 1382 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 + -11.38. Let u = 9 + f. Let a(y) = y**3 + 8*y**2 + 6*y - 6. Let t be a(-7). What is the nearest to 0 in 4, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188 divided by 349?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39288, 24433, 9578, -5277?\n\"Answer: -14855*g + 54143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5236*b - 5*b**4 + 5236*b + 2*b**3 + (-b - b + 3*b)*(-b**3 + 3 - 3).\nAnswer: -6*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31455, -125717, -282741, -502527, -785075, -1130385, -1538457?\nAnswer: -2009291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i + 8. Let b(z) = -12*z - 8. Let l(j) = -3*b(j) - 4*r(j). Differentiate l(g) wrt g.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 2*d = 10, 4*f - d + 274 = 299 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1435996 and 4?\nAnswer: 1435996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/412 greater than 0.2586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(2 + 4)\/((-18)\/(-4)). Let b(t) = -2*t**2 - t**3 - 2*t**2 + 5*t**3 + w - t**3. Let h(g) = -24*g**3 + 33*g**2 - 33. Give 33*b(k) + 4*h(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 72 + 23133*j - 23132*j - 9*j**3.\nAnswer: -9*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2495, -10056, -22641, -40250, -62883, -90540, -123221?\n\"Answer: -2512*p**2 - 25*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -28*n + 32*n. Let f(c) = c**3 + 3*c**2 - 11*c - 2. Let w be f(-5). What is the greatest common divisor of n and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -12*f - 4*j + 267, 4*f + 5*j = 1145. Solve 0 = 4*u - 271 + f for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 5:34 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -52.5. Let u = -18 + m. Which is the second smallest value? (a) u (b) 4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.55786 + 0.557898669. What is h rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:22 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 97, 157, 225, 301, 385, 477?\n\"Answer: 4*j**2 + 40*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2280)\/((3\/(-6))\/(2\/6))?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 757582*l - 484267.\nAnswer: 757582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 20 = -7*y + 11*y, -3*u - 10 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34952 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -158, -160, -162, -164, -166, -168?\n\"Answer: -2*a - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - s - 168. What is the remainder when 177 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -6 (c) -3 (d) -0.1 (e) 0.678 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -47*t. Suppose 5*a + 112 = 19*a. Let i(g) = -a*g + 8*g - 3*g. Calculate i(x(c)).\nAnswer: 141*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22198255 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 956860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*p = 20, -3*p = 5*u + p - 41. Let k = u + -3. Solve -z = -c - k, 0*c + 5*z = -2*c + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741440900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -369502.93 to the nearest 1000.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 12. Suppose -4*k = -4*f + 12, -5 = 4*k - 5*f + 3. Give l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 49 = 7*m. Suppose -p + 39 = -5*c, -c - 5*p - 16 = -3. Let t = c + m. Let q(h) = -h - 1. What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*g*t**2 + 907*g*t + 10*g + 205*t**2 - 1520*t with respect to g.\nAnswer: 5*t**2 + 907*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 90569735 + 921128\nAnswer: 91490863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0 = -4*b + 9, 2*o + 2*b = 0. Let m(l) = -l**3 - 6*l**2 + 7*l + 10. Let r be m(-7). Let f = r + -11. Is f smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 3*x - 2*o - 94, 4*x = -3*o + 202. Let p(b) = -b**3 + 3 - b + 4*b**2 + b**2 + 2. Calculate the remainder when x is divided by p(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15188, -27455, -39722, -51989, -64256?\n\"Answer: -12267*t - 2921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 9*r - 9*r + 4*r - 4*r + 2*r + (3 - 2 + 0)*(-4*r + 4*r + r) + (12*r - 3*r - 2*r)*(-10 - 1 + 2) to v*r + s and give v.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 64*g**2 - 29095*g - 128979. Determine f(459).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 56 = -40 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11353 divide 1756445336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5292090 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 + 170*w\/3 - 352 = 0. What is w?\nAnswer: -176, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 4 (b) -22 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4330669 + -5?\nAnswer: 4330664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89715*m*s + 2*m + 29540 wrt s.\nAnswer: 89715*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxonsnns. Give prob of sequence nxxo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-43214)\/(-205))\/(-62))\/(1\/(3\/3))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216 - 137. Suppose -4*m - 7*p + 10*p = -o, -2*m - 4*p = -56. Calculate the greatest common factor of m and 814.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -19) + ((1 - 2) + -1 - -3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2430914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u**2 - 26993*u. Let d(s) = s. Give y(d(t)).\nAnswer: -11*t**2 - 26993*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i*i\/(i\/(i\/(i**3*i))))\/i)*i**(-6)*i)**22 assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnp. Give prob of picking 1 p and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 108*u**2 - 98*u - 963. Let p be o(107). Solve -47*h + 53*h + 12 = p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - i - 2. Let b be a(-1). Let n(h) = -6*h - 19. Is n(b) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9155994229689 + 3\nAnswer: 2.0844005770311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -114. Let w be 1030 - (i + 2 + 2). Suppose 0 = 27*z - 33*z + w. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + -7.08. Let f = 7.5 + z. Let g = 0.5 + f. Sort -2\/17, g, -1\/2.\nAnswer: -1\/2, -2\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.6 or 2606\/377?\nAnswer: 2606\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 11091302985698\nAnswer: 11091302985699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53\/11 - 1967\/132. What is the common denominator of -70\/9 and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10*p = -53, 25*m + 3 = 29*m - 3*p. What is the closest to 1 in m, -20, -6.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.91 - 9.91. Let p = 4 - 5. Let f be p - (-2 - -1 - 4). What is the smallest value in u, f, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1 - h**2 - 1. Let a(d) = -2*d - 3. Let n(l) = l + 1. Let t(q) = -a(q) - 3*n(q). Give t(g(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3671*w**2 + 5516*w**2 - 1804*w + 410*w + 6052*w**2 - 1762*w wrt w.\nAnswer: 15794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 1 - (-5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7413.668ug?\nAnswer: 0.007413668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -2, -0.02, -2462.\nAnswer: -2462, -2, -3\/8, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p - 8. Let a be -7 - (p - -4 - -1). Let u(r) = -r**3 - 8*r**2 - 2*r - 5. List the prime factors of u(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1) + (-6)\/(2 - 8). Let w(p) = 179*p**2 + p + 2. Is w(a) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 20. Which is the third biggest value? (a) -1 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002347314 rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - -33) + (-1 + 30 - 24)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(320)*2*3 - (-2*sqrt(320) - sqrt(320))*2)**2.\nAnswer: 46085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) 126 (c) -6\/7 (d) 19.973\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/2) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -310 - -4212270?\nAnswer: 4211760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -8) + 1 + -19 + 4 + 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - 161.4. What is the third biggest value in h, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-15))\/(-4))\/(8\/100*-35).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -179*s + 3 + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(450).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624064, -1248137, -1872234, -2496367, -3120548, -3744789, -4369102, -4993499?\nAnswer: -5617992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25455019 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4b7 + 87d49?\nAnswer: 87892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aananaaannnaantnnaa. Give prob of sequence nna.\nAnswer: 280\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*u + 210*u + 9798621 = 435*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597411 a multiple of 1619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 3*k**2 + 4*k - 8. Let s be p(-4). Let u(q) = q**3 + 7*q**2 - 8*q - 6. Determine u(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/60)\/(162\/(-135)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = q - 7*a + 4*a, -21 = -2*q + 3*a for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let a(z) = -13 - 8*z**2 + 0*z**2 + 5 - 8*z. Let k(g) = -a(g) + 8*p(g). Let q(i) = -168*i - 14*i + 185*i. What is k(q(w))?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 547*z. Let c(a) = 15*a**2. Give q(c(d)).\nAnswer: 8205*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millisecond in microseconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -555243054 (base 6) to base 3\nAnswer: -200220201101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**6\/24 - n**5\/5 + 5*n**4\/16 - n**3\/6 + 179. Determine k, given that o(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**2\/2 + 17*u + 13. Let p be -1*(2 - (-13)\/(-1)). Calculate the least common multiple of 5 and g(p).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251781766 to the nearest integer?\nAnswer: 15868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/171 + -179\/342. Let h = -40 - -37. Let y = h - -5. Which is the closest to -2\/7? (a) w (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 441*k - 446*k - 19, w - 3*k - 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**2 - 5*f - 5. Let k(m) = -m**2 + m. Let s = 14 + -9. Let u(z) = s*k(z) + n(z). What is the derivative of u(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*k - 1245, 0*k = 3*k + 15. Let i = 553 - o. Does 60 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 40\/(-2)) + -3. Differentiate -2*g + y + g - 7 with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 7*f = 44 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -240, -804, -1902, -3714?\nAnswer: -6420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.03.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((((sqrt(216) - 2*sqrt(216)) + sqrt(216))*-4)\/sqrt(9))\/(-1*sqrt(8)*-4 - sqrt(8)*-1*-3))**2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 4) to base 7.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - u - 22, -4*q = -5*u - 26. Find the second derivative of -7*o**4 - o**q - o**4 - 34*o wrt o.\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgq when three letters picked without replacement from qqqqqmqqmqmmgqqqmgq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(3 + -11)*-82. Let r = q + -47. Let n be ((-240)\/(-18))\/((-2)\/r). Calculate the highest common divisor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 44. Let k = -15 - r. List the prime factors of (-258)\/(-21) - k\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-378)\/(-12))*156. Calculate the highest common factor of c and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d + 2*u - 162, -3 = u. What is d rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*q - 15, 0*p + 2*q = -p - 20. Let g = p - -19. What is the remainder when 26 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19691280?\nAnswer: 2, 3, 5, 7, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 410*s + 413*s + 25, -s = -5*c - 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36431195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5080, 10278, 15594, 21028?\n\"Answer: 59*a**2 + 5021*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13626\/12)\/(2\/268). Let d = -255157 + a. What is d rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3842*-0.1\nAnswer: 384.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g + 110. What is the units digit of z(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 120 - 13. Let f = w - -150. Let g = f - 17. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + o)*(4 - 2 - 3) + (-2 - 25*o - 18*o + 14*o)*(-3 - 1 + 3)*(-3 + 1 + 1).\nAnswer: -30*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4130000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*r + 1425 = -15630 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 6*v - 4*v + 8*v**2 - 7*v - v**3 + 8. Let c be h(-8). What is the greatest common factor of 48 and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. What is the units digit of (4 - c)*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -14. Let p(t) = 0*t + 2*t - r*t + 3*t. Let f(y) = -5*y. Determine p(f(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 - -81. Suppose -b*d + 1408 = -126. Is d a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 11. Suppose -4*j = -s - 4, c = -5*s - 11. Find the second derivative of -m**4 + j*m + 0*m**4 - m + 0*m**4 wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(((t*t**(-2\/7))\/t)\/t)\/t)*t)\/((t\/((t*t\/(t*t*t**(4\/7)))\/t))\/t*t)*((t**(-6)\/t)\/t)\/(t**(3\/2)*t) assuming t is positive.\nAnswer: t**(-137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*r + 88*r - 2*r**2 + r**2 to the form x*r**2 + j + g*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*h**2 - 66*h**2 - 91*h**2 + 14*h)*(2*h**2 - 4*h**2 + 0*h**2).\nAnswer: 38*h**4 - 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 4*q**2 + 2*q - 6. Let x be t(4). Let c be 2 - (-2 - -3)*x. Suppose b - 4*b + 54 = c. Calculate the least common multiple of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 55. Let u be (-4)\/(-14) + 175\/(-98). Put 2\/15, u, g in decreasing order.\nAnswer: g, 2\/15, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181264, 181265, 181266?\nAnswer: 181267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 44*z - 1170. What is l(35)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((36 - 3) + -36)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/7*-8*(-4)\/(-96).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2406*l**3 + 49335*l?\nAnswer: -14436*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 29. What is the tens digit of 2\/7 - 110\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-56)\/((-40320)\/2168) + 6\/10 and ((-1)\/(-10))\/((-144)\/2180).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a decade?\nAnswer: 2680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (2511\/(-135))\/(2\/(-90)) and 465?\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**3*o**2*t + 29370*l**3*o*t**3 + 39*l**3*o*t**2 - 8*l**3*o*t - 2*l**2*o**2 + 8*l**2*t**2 + 2*l*o**2*t**3 wrt t.\nAnswer: 176220*l**3*o + 12*l*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21 + 20.79. Let b = -22 + v. Is b not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 - 3*y + 16. What is c(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1544*o + 143546. What is a(95)?\nAnswer: -3134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.55 - 1.85. Which is the closest to 0.4? (a) 3\/5 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11090 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/4 - 27401*w**2\/4 - 274101*w\/4 - 246699\/4 = 0.\nAnswer: -9, -1, 27411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -357*m + 24. Let x(f) = -15*f + 1. Let u(d) = -3*g(d) + 72*x(d). Let a(r) = 3*r + 7. Give u(a(k)).\nAnswer: -27*k - 63","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -2*s + 4*q + 32, -4*s - q = -76. List the prime factors of (s\/(-10))\/(4\/(-90) - 0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313296765 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 = -y - 2*y, y + 3*x - 5 = 0. What is the smallest value in -4, y, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112012022101 (base 3) to base 8.\nAnswer: -1041611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 6 + 6)*((3 - 3 - 2*c)*(10*c - 9*c - 7*c) + c**2 + 2*c**2 + 0*c**2) in the form q + h*c**2 + z*c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = -2*p. Suppose -2*h = -0*h - p. Let n(g) = 26*g**2 - 3*g + 1. Let s be n(h). Solve -3*a + 5*o = 23, -4*a + 5*o - s = -0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d. Let v be b(6). Suppose 0 = v*r - 3*r - 9. Suppose -r*s + 1166 - 173 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 25, -34, 0.01 in increasing order.\nAnswer: -34, -3, 0.01, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1512*i + 752*i - 50*i**2 + 250*i**2 - 225*i**2 + 760*i.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 14 = -4*j, -5*j + 5*y - 15 = -10*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 31\/(-7)) + 9\/(-21). Solve 0*g - g - b = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 210 + 7*x**2 - 419 + 209. Let q(f) = -4*f. Calculate q(y(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 19)*(-8 + (-180)\/(-25)). Suppose 0 = -m*d + 21*d - 3*o - 110, -3*o + 40 = d. Solve -3*n + 0*n = 5*k + 15, -5*n - d = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 330494 - -159?\nAnswer: 330653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16 + 10 + 2 - 136*j.\nAnswer: -136*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(-1 + 2 + 2)*(0*a**2 + 0*a**2 - 4*a**2).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*y + 4\/3*y**4 - 16\/3*y**3 + 4\/3 + 8*y**2.\nAnswer: 4*(y - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8598)\/48 - (-2)\/16. Let d = -174 - n. Suppose -11 = -3*p + 49. What is the smallest common multiple of d and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 96 = g, -19 - 82 = g - 4*b. Let f = g - -173. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12533 = 29*i - 2953. What are the prime factors of i?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 q when four letters picked without replacement from qrqqqrqqqqqqqqqqqq.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 6. Suppose -2*f + 3 = -q. Solve 5*w - 17 + 52 = -2*z, -f = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36551136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:20 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 - 15*h**2 - 9*h + 18. Let b be g(8). Suppose 4*f = 2 + b. What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnee when four letters picked without replacement from {j: 3, w: 4, n: 4, f: 1, e: 7}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let o = 2 + n. Suppose -4*x - 91 = -3*k, 6*x - 2*x = -o*k + 74. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6869283?\nAnswer: 3, 2289761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = 19*l - 107980 - 143054. What are the prime factors of l?\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvvivvvvivvvivvvv. What is prob of sequence ivii?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + -7 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5634?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -10621450 bigger than -10621447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 314, 1 in descending order.\nAnswer: 314, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -0.4, 43, -32\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 33. Let w = 20 - q. What are the prime factors of 38 + 2\/(-1) + w?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7405920 by -200160.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 202685726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 81 - 13*j + 18*j + j**2 - 75. Suppose -u = 2 + 4. What is g(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 14*b**3 - 2*b**2 - 12*b + 10. Calculate s(-3).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f + 101*f - 3*w - 22 = 202*f, -8*w - 67 = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 7*q**2 - 7*q + 2. Let s be p(6). Let f = s + 6. Find the common denominator of -85\/22 and f - 2 - 103\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*z - 8*z - 14 = 0, -2*t = -4*z - 44. Suppose 4*w - 80 = -0*w. Calculate the highest common factor of t and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 10. Let j be i(-4). What is the remainder when ((-13)\/(-26))\/(j\/76) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let z(n) = 6*n**2 + 5*n. Let x(k) = 4*b(k) - z(k). Let j be x(-1). Suppose 0 = -3*d - u + 4, -d - 4 = -6*d + u. Put d, 4, j in decreasing order.\nAnswer: 4, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = i - 24, -2*i = -3*f - 0*f + 4. Suppose -x = -4*v - 0*v - 8, -f*x + 2*v = 38. Calculate the common denominator of (28 - 1)\/((-40)\/x) and 27\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 7. What is w(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -464.15803 rounded to one decimal place?\nAnswer: -464.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 105?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11202391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 721 + -716. Suppose 2*r + m*f - 422 = 0, 7*f - 198 = -r + 11*f. Calculate the remainder when r is divided by 60.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0*z + 5\/24*z**4 + 0 + 35\/6*z**3 - 3*z**2. What is the derivative of x(c) wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {c: 4, s: 6, f: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/5*y**3 + 7\/5*y**4 + 1\/5*y + 0 + 2\/5*y**5 + y**2.\nAnswer: y*(y + 1)**3*(2*y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 25379687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64881 and 31833?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0)**(-48) assuming j is positive.\nAnswer: j**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -1\/36*c**4 - 79*c + 0 - 2*c**2 - 4\/9*c**3. Let h(i) = 0. Calculate i.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46254 - -39595. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000444046 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = 5*j, 7*o = 4*o + 5*j + 10. Suppose 3*k - 351 = -2*w, -w + 235 = 2*k - o*w. What are the prime factors of k?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2420001974301 + -4.3.\nAnswer: 2420001974296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 - (107 - (15 + 21)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -693.57 - -697.57232. Let d = y + -4. What is d rounded to 4 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -q + 99. Let r be (q\/(-15))\/(6\/(-68751)). Suppose 6*f - 7112 + r = 0. What is f rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-12)\/(-594)*11)\/(4\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -36, 0 in ascending order.\nAnswer: -36, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 73 = 27*m + 186 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j = -4*k - 53*j + 4, -4*k + 4 = 5*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2320 (base 4) to base 10\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 4*i**2 + i + 66 - 66 as q*i**3 + o + b*i**2 + w*i and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32031960 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -127. What is the third derivative of 27*f**2 + 32*f**2 - f**6 - u*f**2 wrt f?\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1005 and 79\/8445.\nAnswer: 565815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 24\/13*z - 2\/13*z**2 = 0. What is z?\nAnswer: -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1776494, -1776487, -1776484, -1776485, -1776490?\n\"Answer: -2*u**2 + 13*u - 1776505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 447951 - 5.1.\nAnswer: 447945.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102240 and 710?\nAnswer: 102240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 29 = 3*u. What is the remainder when 37 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 - x**2 - x + 7. Let w(d) = 288*d**3 + 3*d**2 - d + 543. Let g(m) = 3*u(m) + w(m). Differentiate g(n) wrt n.\nAnswer: 846*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65118 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 5, a: 8}. What is prob of sequence cr?\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 - 132.9785576?\nAnswer: -132.9885576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 247, 9, 4, -48, -1 in ascending order.\nAnswer: -48, -1, 1, 4, 9, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v - 1. Suppose 0 = -q + 56 - 31. Suppose 2*c + 23 = q. Calculate i(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16378135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 h, and 1 i when four letters picked without replacement from phpuphhipu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1 (b) -0.04 (c) -2\/3 (d) -4 (e) -2431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1422145 - -1010585. Round j to the nearest 1000.\nAnswer: -412000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361362047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.01628568?\nAnswer: -0.004885704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 118*j**2*r*s - 5*j**2*r - 2*j**2*s - 2*s - 80 with respect to r.\nAnswer: 118*j**2*s - 5*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 68.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-31 - -14) - 23.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 30 = 8*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23491938, -46983875, -70475812, -93967749, -117459686?\n\"Answer: -23491937*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1106 and 5?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4 + sqrt(1573))*-2 + (sqrt(1573) - -1*sqrt(1573)) + -2)*-1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1211\/30 + 2377\/60. Which is the nearest to 1? (a) -0.7 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - 13?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 4*h. Let y = 40 - -3. Let r = 3194 - 3188. Suppose r*b + 61 = y. Give k(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 22*a**2 + 15*a - 232. What is the remainder when p(22) is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12342971 and 859?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3545175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 90 - 186. Find the common denominator of 145\/18 and 6\/2 + s\/(-60).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -229*k + 11947. Let t be z(51). Solve 88 = 279*v - t*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071724844 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**5\/5 - 48*y**4 - 228*y**3\/5 + 726*y**2\/5 + 1191*y\/5 + 474\/5 = 0.\nAnswer: -79, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let m be g(-1). Factor -b**2 + 0*b + 2*b**m - 3*b.\nAnswer: b*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/19382 and -61\/3736.\nAnswer: 36205576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -6612 < -284312\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1247\/174 + 1\/(-4))*-3. Sort 1, -3, -3\/4, a in descending order.\nAnswer: 1, -3\/4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7220*b**2 - 12385*b**2 - 7488*b**2 + 2*b**3.\nAnswer: 2*b**3 - 12653*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -7.98. Let d = -58.925 - -67. Let i = u + d. What is i rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/3 - 8866*i**4\/3 + 123961*i**3\/3 - 292004*i**2\/3 - 991360*i\/3 - 566528\/3 = 0. Calculate i.\nAnswer: -1, 8, 8852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -80 - -68. Let y(l) = -l**3 - 14*l**2 - 22*l + 26. Let p be y(x). Suppose 2*u = -3*a + 287, 513 - 75 = 3*u + p*a. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*g**4 - 2*g**3 - g**2 + 7660 - 7660 as d*g**4 + a*g + u*g**3 + w + c*g**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/15480*45*(200\/12)\/10\nAnswer: -10\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let z be (2\/(-7))\/((-1)\/7). Let y be ((-36)\/15)\/6 - 85\/100. What is the nearest to z in -1\/10, w, y?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2 - 10. Suppose -k = 5*l - 4, 4*l + 4*k - o = 2*k. Let i(m) = -2*m + l*m - 5*m + 5*m. Let n(b) = -b**2. Give n(i(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l. Let c(x) = -27 + 85 - 36 - 27 - x. Let j(w) = 0 + 2 + 2*w + 5. Let t(q) = 7*c(q) + 5*j(q). Give b(t(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4 + 1) + 7. Let q(f) = 1 + 0*f - l*f + 7*f - 2. Let u(i) = -2*i**2 + 2*i + 1. Let x be u(2). Give q(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 359361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 103447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1410, 2, 1 in descending order.\nAnswer: 1410, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145.42124 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 3*d + 2. Let j be o(0). Let q(y) = -2*y**j + 7*y - 1 + 5*y + y**2 - 8*y. Give q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -532, -1182, -2062, -3154, -4440, -5902, -7522?\nAnswer: -9282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -32373, 8, -2.1, 2\/7?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 396734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3*w + 170. Let x(v) = 10*v**2 - 13*v + 11. Let j(r) = -r**2 - 1. Let p(t) = 5*j(t) + x(t). What is the remainder when p(5) is divided by w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501393 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 803*s**3 + s - 3 - 6*s**2 + 5 - 2*s**4 - 1 - 800*s**3 + 0*s**4 to the form t*s**2 + q*s**4 + g*s**3 + r*s + u and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + 4\/(-14). Let t = 1.5 - -0.1. Let m = t + -2. Which is the closest to -3? (a) m (b) i (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 48*y - 285. Give l(41).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 + 1614*m + 45124 = 0.\nAnswer: -778, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/12 + 234\/52?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118774 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q = -64*q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o + 325. Calculate the highest common divisor of o and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1490.71 * 115\nAnswer: 171431.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70239 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 204. Solve 3*a - 3*b - 24 = 0, -3*a - m*b - b = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 1)*(2 - 4 - 1)*(16 - 16 + 132*r**2) to the form d + c*r**2 + b*r and give c.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/7)*a\/a**12*(a**(-1)*a)**(-13\/3))**20 assuming a is positive.\nAnswer: a**(-1500\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 4960?\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8008 + -8005. Solve 0 = -g*a + 37*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Let s be 2\/14 - 78\/105. Let c = 9 + -14. Let k = 0.8 - -0.2. What is the second smallest value in k, s, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*o + 24, 0 = -2*s - 0*s + 4*o + 32. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -i + 116. Let d = -34 - i. Suppose -4*m + 20 = -3*m - 3*t, 2*m - 2*t = d. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30497 is divided by 413?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*((sqrt(112) + (sqrt(112) - (sqrt(112) + (sqrt(112) - 5*sqrt(112) - sqrt(112)))*-5) - sqrt(112)) + 5))**2*-3.\nAnswer: -121371 + 2280*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2. Let h = -86 + 31. Let p(m) = 15*m + 55. Let z(q) = -q - 4. Let j(g) = h*z(g) - 4*p(g). Determine j(w(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.2 (c) 4 (d) -2.1967\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 35?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o = 0. Suppose -6 = -2*y - o. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 18 - 7. Let k be 44\/u + (-4)\/5. What is the units digit of 2 - -6*20\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*u - 31*u + 187*u - 2*u**3 - 88*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0158 and -2767.\nAnswer: -43.7186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2063421 and 331.\nAnswer: -68.2992351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(209)\/(sqrt(44)\/sqrt(4)) - sqrt(19)) + -1)*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*t**2 + 169*t**2 - 346*t**2 + (2 - 3 - 1)*(46*t**2 + 706*t - 706*t) to the form j*t + a + d*t**2 and give d.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Round -85008570 to the nearest one hundred thousand.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z = -33*z - 7389. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 28.78. Let f = z - 0.32. Let y = 2.3 - f. What is y rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 33. Let j be y(6). Let p be -1*231\/28 - -7. Which is the closest to -2? (a) j (b) -0.22 (c) p (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -373*k - 3085. Let a be x(-9). Solve 98*y + a = 132*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, -26, -163, -344, -563, -814, -1091, -1388?\n\"Answer: o**3 - 31*o**2 - o + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 15 + (-81)\/5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2266, 4, -70, -4, -20, -5 in decreasing order.\nAnswer: 2266, 4, -4, -5, -20, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0261 - -2.0039. Let g = 0.03 - r. Let s = -0.5 + 0.4. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807640 divided by -5.\nAnswer: -161528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 526*d**3 + 260*d**3 - 8 + 2*d**2 - 2 + 265*d**3 to h*d**3 + i*d**4 + b*d + o*d**2 + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 16 = 5*j, -3*j + 18 = -7*j - 2*i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 4*x + 16, -2*x + m = 4. Let l(a) be the first derivative of 3*a**2\/2 - 201. What is l(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a factor of 16735000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 32178101*f + 1010. Let y be r(-10). Round y to the nearest 1000000.\nAnswer: -322000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -7. Does 9 divide (n\/10)\/((-10)\/450)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 44 = -m. Let k be (m\/(-5))\/(1\/(-25)). Suppose -3*t + k + 55 = 0. What is the greatest common divisor of 22 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(2\/17)\/(n**1\/n*n)**(-8\/5))\/(((((n*n**0)\/n*n)\/n)\/n*n**(1\/6))\/(n**(-4\/5)*n**(-2\/5))) assuming n is positive.\nAnswer: n**(569\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693365.\nAnswer: 3, 5, 79, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*c - 10, 4*c + 2*i + 9 = 35. Solve -3*o = -0*w + 3*w + 3, 0 = 2*o - c*w - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 25*q + 24*q - 16*q.\nAnswer: 35*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 0*x + 6*x + (-6*x + 0*x + 2*x)*(3 + 4 - 2).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9994 + 9993. Let l(y) = -3*y**2 - 4. Let c(x) = x**2 - x + 1. Let a(w) = -3*w + 5. Let h be a(3). Give h*c(q) + r*l(q).\nAnswer: -q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.146+-28\nAnswer: -27.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 6*k + 3*b, 0 = 3*k - 5*b + 17. Let s(i) = 2*i - 14*i**2 + 1 - 3*i + 0*i. Calculate s(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 715?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3391369 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23888*u + 1863?\nAnswer: 23888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5127, -5075, -4935, -4707?\n\"Answer: 44*d**2 - 80*d - 5091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -574334 and -25.4.\nAnswer: 14588083.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -31 - 17. Calculate the greatest common factor of v and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/5 + 233304*o**3\/5 + 1680480*o**2 + 100842624*o\/5 + 403398144\/5.\nAnswer: -4*(o - 58362)*(o + 12)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 + -50. List the prime factors of x.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.02 (c) -0.05 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 799819706*n**3 - 769233793*n**2?\nAnswer: 4798918236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30618 + -5964. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, -2, -6741\/38?\nAnswer: -6741\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1084 + -1056. Let u(f) = -f**2 + 11*f + 4. Let g(t) = t**2 + 1. Let j be g(-3). Let l be u(j). Calculate the greatest common factor of i and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -5*g**3\/3 - 3*g**2 + 6*g + 3. Suppose -36 = 3*x + 3*x. Let f(k) = -4*k**2 - 5*k + 5. Calculate x*f(r) + 5*i(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 20. Solve 0*n = -l*n + 2*m + 28, 0 = 5*n + 5*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 22 = n. Let u(v) = 2*v**2 + 33*v - 43. Let g(w) = w**2 + 16*w - 22. Let y(s) = -7*g(s) + 4*u(s). Let k be y(n). Solve 0 = k*p - p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 9*h - 4. Let b = 27 - 15. Suppose b = -2*r - r. What is i(r)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31273795 + 31273794.931225471. Let o = -87.068837529 - t. Let f = o - -87. What is f rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 5 + (-7 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 403546303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1546 + 7682\/5. Which is the second biggest value? (a) -0.3 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1 - 366\/(-180). Let g(r) be the third derivative of 1\/3*r**4 + 4\/3*r**3 + r**2 + 0 + c*r**5 + 0*r. Factor g(k).\nAnswer: 2*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (6 + 2 - 3 - (11 - 33))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in minutes?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15163.\nAnswer: 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(5 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1386431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(36)\/sqrt(2))\/(sqrt(81)\/sqrt(81)) - (-2 + (sqrt(6)\/sqrt(3)*2 - (sqrt(80)\/sqrt(4))\/sqrt(10))))**2.\nAnswer: 32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:08 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -5*k**3\/3 + 4*k**2 + 26*k. Differentiate j(i) with respect to i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8957 (base 13) in base 7?\nAnswer: -106613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41961*s**3 + 44677 - 44677.\nAnswer: -41961*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6)\/14 + 2584410\/58170.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20499*l = -20391*l - 1836 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*q**2 - 135*q + 3*q**3 + 3*q**4 - 1 + 4*q**2 + 247*q - 112*q in the form o + k*q**4 + v*q + z*q**2 + p*q**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3926176*h = -3926129*h - 3619 for h.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/6)*w)\/(w\/(w**(-1)*w))*((w\/((w\/(w\/(w*((w\/w**(4\/3))\/w)\/w)))\/w))\/w*w)**(3\/11) assuming w is positive.\nAnswer: w**(71\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 24 (b) 2 (c) -12 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61122.\nAnswer: 2, 3, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -291169, -291082, -290995, -290908, -290821, -290734?\n\"Answer: 87*s - 291256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179731.\nAnswer: 191, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -18, -6, 9, -4 in decreasing order.\nAnswer: 9, 7, 2, -4, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 17167239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 351248*r**2 + 2107516*r + 2810032.\nAnswer: -(r - 351254)*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489 - 12. Suppose 0*g - t = -9*g. What is the remainder when g is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 5, 3, -2, 1546 in descending order.\nAnswer: 1546, 5, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3256\/16 + 3\/6. List the prime factors of (9\/(-3 + c\/69))\/(-1).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 8 = -7*y. Let q(u) = -u**3 + 7*u**2 + 11*u - 19. Let x be q(y). What is the greatest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 39. What is the nearest to 0.1 in t, 2\/11, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946763369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -9. Let q(z) = 5*z**2 - 18*z + 8. Let m be q(n). What is the greatest common factor of 32 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -23. Suppose 5 = -o*m + 21. Sort -1, 5, m.\nAnswer: -1, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.14 (b) -0.213 (c) -5 (d) -2\/5 (e) -297\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44649\/116235 + 2\/45. Factor 0 + 0*t**2 + 3\/7*t**4 + 0*t - 6\/7*t**3 + i*t**5.\nAnswer: 3*t**3*(t - 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/2 (b) 2971 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.3 + 33.3. Sort 5, 65, m, 2\/17.\nAnswer: m, 2\/17, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 1533333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 106402 = -111598. What is g rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411174621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = 5*v + 342 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - h + 3*z + 25, -z - 125 = 5*h. Let l = 51 + h. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 5.3. What is the closest to -0.02 in n, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/3 (b) 2\/39 (c) -4.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**3 + 3*h - 3*h + (3*h**2 - 4*h**2 + 0*h**2)*(0*h + 0*h + h) + h**3 + 3*h**3 - 3*h**3.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from {k: 2, l: 4, w: 6, h: 2, c: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/sqrt(5))**2*3 - ((sqrt(3) - (-4 + sqrt(3))*2) + sqrt(3))**2.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95\/(-9) - 6)\/(10\/20) - 16\/(-144).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + k - k. Let x(m) be the second derivative of -m**3\/6 + 15*m. What is q(x(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = 3*q - q, -8 = -q - 4*g. What is the tens digit of 72*q*(-3)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 21*t - 102. Give s(24).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 + 2*t + 5. Let j(g) be the first derivative of 2*g**3 - g**2\/2 - 3*g + 141. Determine 5*j(o) + 3*w(o).\nAnswer: -3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b. Suppose -10*j = -3 - 37. Give o(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555*r + 3*u + 14 = -554*r, 3*r - 2 = -u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 3, 2, 1 in increasing order.\nAnswer: -3\/5, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9. Solve w + 2 = -r*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)\/j)**45\/(j**(-1\/2)\/j)**(-22) assuming j is positive.\nAnswer: j**(-141\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-20)\/5)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 11) to base 8.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -b + 61 - 10, 0 = -5*b - 4*t + 207. Suppose -b + 4 = -n. What is the remainder when n is divided by ((-12)\/(-5))\/(54\/405)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16 - 18)*8\/(-2). Suppose -5*x - 5*c + 22 = -g, -3*c + 12 = 2*x. Solve -2*z + 3 = n, -5*z + n - x*n = -5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4889 * 0.2.\nAnswer: -977.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -110, 1\/22, -9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -98\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, -131, -825, -2173, -4391, -7695?\nAnswer: -12301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -7*i**6\/10 - 19*i**3\/6 - 25*i. Find the second derivative of q(o) wrt o.\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -1.37, -3, -2, 55832?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 842454410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -203102022?\nAnswer: -203101311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/6)\/((-3)\/9). Let l(q) be the first derivative of -q**2\/2 - 9*q + 809. Let a be l(d). Solve a*y - 4*c + 5*c = -18, 0 = y - 2*c + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -62*q + 67229. Is q a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)\/(m*m**8))\/((m\/(m*m**(-2\/5)))\/((m\/m**8)\/m))*m**(2\/7)\/(m*m\/m**3)*(m\/m**(-1\/2))\/(m*m**(-3)*m) assuming m is positive.\nAnswer: m**(-1093\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, 18, 4, 5, -6, 3 in decreasing order.\nAnswer: 18, 12, 5, 4, 3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 5:08 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.345786 milliseconds in microseconds?\nAnswer: 5345.786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-6)\/72)\/(((-2)\/(-5))\/2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {c: 2, y: 4, l: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1628, -6567, -14798, -26321, -41136, -59243, -80642?\nAnswer: -105333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmslmvsvvm. Give prob of sequence mmls.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*(-1 - 5\/(-14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 0, -7, -14, -21, -28, -35?\n\"Answer: -7*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36654 - 3?\nAnswer: -36657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5731168*g + 5607 = 5731079*g for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 9) to base 8.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -51142.01 rounded to the nearest 100?\nAnswer: -51100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let g be (-9)\/(-12) - 2\/(-8). Let h(l) = l**2 - l + 4. Let v(u) = u. Let s(x) = h(x) + 2*v(x). What is g*s(a) + 4*t(a)?\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1214?\nAnswer: 1\/1214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 4d18?\nAnswer: 4d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3 + 1572*q**2 + 157208*q + 1667040 = 0.\nAnswer: -230, -151, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 (base 11) in base 16?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 32. Suppose 13*g = 9*g + 76. Does 12 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**2 + 215*p - 619. Give q(28).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g*g**(-2)*g))\/((g*g*g**(2\/13))\/g**(-6)) assuming g is positive.\nAnswer: g**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*l = -3*u - 36, -2*u = -l + 15. Is u greater than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3*8\/10. Let g = -0.4288 + 0.6288. Which is the closest to o? (a) -0.3 (b) g (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*i**3\/7 + 208*i**2\/7 + 330*i\/7 + 36\/7 = 0. What is i?\nAnswer: -3, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 16 = 3*s. Let z(m) = -2*m + 2. What is z(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -5*w**3\/6 + w**2 - 95*w. Let l(f) = -8*f + 3. Let x(t) = -3*l(t) + 5*s(t). Let a(o) = 12*o - 4. What is a(v) + 4*x(v)?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1646869 and 1855?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haaaoahhhawhwawha. Give prob of picking 1 o and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, 786, 825, 888, 981, 1110, 1281?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-11 - -9) - 9) + (-6 - -5 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - 147.4. What is the biggest value in -2, -1, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18700016 and 37085.4?\nAnswer: 18737101.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 703 + 6\/((-3)\/(-1) + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 - (-4 + 2 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 186976\nAnswer: 560928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22693, 22695, 22693, 22687?\nAnswer: 22677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3 - 9*k**2\/2 + 11*k. Let n(t) = -3*t - 5. What is -4*j(g) + 7*n(g)?\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.35 + -0.49. Round j to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 22*r - 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 8. Let h be r(-3). Let m be (-13)\/(91\/(-196))*(-92)\/(-16). What is the greatest common divisor of h and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15096 (base 12) to base 7.\nAnswer: 151656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45959 = -4*x + 46227 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 103509.76233 to the nearest 1000.\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001008 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 316*f. Let d(z) be the first derivative of 2*z**3 - 970. Give d(y(b)).\nAnswer: 599136*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 2. Suppose 2*z = -5*p - 2*z - 17, -p - 4 = z. Let r be c(p). Suppose 4*x + r = -5. Sort -3, 4, x in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -y + 15*r, 204*y = 200*y + r - 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 5) to base 11.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45439 (base 12) to base 10\nAnswer: 92205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q**(3\/7)*q**(2\/3)*q*q\/(q*q**2))**(2\/7))**36 assuming q is positive.\nAnswer: q**(3072\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:58 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j - 290 = -5*u, -3*u + 173 = -j. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*l = 190*l - 39. Factor 0 - 3\/8*b**4 + 3\/8*b**2 - 3\/8*b + 3\/8*b**l.\nAnswer: -3*b*(b - 1)**2*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -35*f + 148. Suppose q = 5*b + 8, 0*b + 3*b - 5*q - f = 0. What is the closest to -4 in b, -1\/3, -2\/3, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2327200 = -435*v - 68*v + 9063376. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 270*i**4 - 295*i**2 + 295*i**3 - 272*i**4 + 1 + 294*i**2 to t + u*i**2 + q*i**3 + k*i**4 + h*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0 - 17*s - 2*s**2 + 4*s**2 - 3 + 11*s. Let b(r) = r + 8. Let v be b(-6). Let h(q) = 1 + 4*q + 0*q - 3*q - q**v. Determine 3*h(l) + i(l).\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2927664 and 7279?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29181 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17*h + 18*h = 30554926, 5*h - 30554930 = -5*p. Suppose -2*u + 4*j + 4073980 = 0, 0*j + 3*j = 3*u - p. Round u to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8836, 16272, 23708, 31144, 38580, 46016?\nAnswer: 53452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226086*i + 4 - 9 - 133970*i + 5.\nAnswer: -360056*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8))\/(c\/(c\/(((((c*c**6*c)\/c)\/c)\/c)\/c)))*(c\/(c\/(c\/((c\/(c*c**(1\/6)))\/c)*c))*c)**26 assuming c is positive.\nAnswer: c**(292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 89a8 + 2?\nAnswer: 89aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*n - 8*l + 5*l + 2*l - 100, -5*l - 33 = 2*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 30 = k. Let j(o) = o**2 + 6*o - 5. Let u be j(-6). Let f = u - k. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1046 and 979?\nAnswer: 1024034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 10*x**2 + 7*x. Let d be j(-9). Suppose 2*v + c = 33, v - c + 3*c - d = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*d - 6*d - 10 - 9*d - 2*d**3)*(-18*d - 227 + 227).\nAnswer: 36*d**4 - 288*d**2 + 180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Let z(k) = -3*k + k**3 - 2*k**3 - 2*k**2 + 7*k**2 - g. What is the units digit of z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -399*a**2 + 1311*a - 390. Calculate v(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 648 = 4*n. Let y = -104 - n. Solve -2*u + 2 = -y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + (-21)\/(-7) - 1*-3. Suppose -72 = -3*q - y*q. Let k be (-3 + 4 + -3)\/((-8)\/q). Solve 0 = -4*r - k + 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119b2 (base 12) to base 5.\nAnswer: 1231034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 13. Let p be -7 + 0 - 45\/15. Let h be a(p). Determine r so that -36*r**2 + r**5 - 12*r - r**5 - 18*r**4 - 39*r**3 - h*r**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 9*o, -4*o - 7026 = -3*u. Suppose 6*d - 8992 - u = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = -22*j + 385 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-24 + 16 - -16 - 94).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f)*(-5 + 3 + 3)*(3*f + 3*f**2 - 3*f + (-6*f**2 + 13 - 13)*(2 - 1 - 3)).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 80, 78, 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20001 - -10?\nAnswer: -13331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -73242, -2, 0.051 in increasing order.\nAnswer: -73242, -2, 0.051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -14.12. Let a = h - -0.18. Let p = a + 2.7. Which is greater: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18006726.\nAnswer: 2, 3, 3001121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 15. Suppose 7*b = -7*b + 112. Let j = b + g. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2099*h**2 + 1247*h**2 + 1653 - 1653 as d*h**2 + j + l*h and give d.\nAnswer: 3346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68)\/(-1) - (-6)\/6. Let s be 3\/(-18) + d\/(-18). Is ((-47)\/s)\/((-11)\/(-132)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2176*c**2 + 725*c**2 + 119*c**2.\nAnswer: 3020*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q - 54. Let b be j(13). Let t(s) = 2*s**3 - 9*s**2 - 4*s - 4. Let u(r) = -6*r**3 + 26*r**2 + 11*r + 11. Calculate b*t(p) + 4*u(p).\nAnswer: -2*p**3 + 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/5)\/f*f)\/f**9 assuming f is positive.\nAnswer: f**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -3 (c) -5.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.45 - 40.87. Let z = g - -0.42. Let w = -13 - z. Which is the smallest value? (a) w (b) 2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 6*k - 360. Calculate the lowest common multiple of k and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.922 + 1274.178. What is h rounded to the nearest 10?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 + (-54)\/18 + 2. Sort 1, 73, b in decreasing order.\nAnswer: 73, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 82908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46632561 or 46632562?\nAnswer: 46632562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(243) - (-1 + (sqrt(243)*4)**2).\nAnswer: -3887 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b + 27 = 0. Let z(h) = -h**2 + 9*h + 8. Calculate the lowest common multiple of z(7) and (16\/12)\/(2\/b).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 131530974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/10)\/(3\/(-2)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (9 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 12*k - m = -5, 3*k - 5*m + 25 = 0. Let y(j) = -9*j - 16. Give y(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 15*s - 11. Calculate the remainder when 99 is divided by k(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h - 796. Suppose 242 = -4*t - 246. Let f = t - h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -216\/5 in 1\/3, -1\/3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 14130 and 14311 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 68935 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = -5*j, 0 = -0*u - u - 5. Sort 1, -2\/3, j, -13.\nAnswer: -13, -2\/3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 21 + 13*m + 20 to p + d*m and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 p, and 1 g when three letters picked without replacement from gyspynp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9564 and -0.985.\nAnswer: 9563.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -w + 24. Suppose -1 = -2*u - w. Is -0.4 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7321624 - -601?\nAnswer: 7322425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, e: 8, a: 1, y: 2, b: 3, v: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/24388 and -29\/8040?\nAnswer: 731640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5063*x + 4931*x - 10133*x.\nAnswer: -139*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + 22968\/1653 + 2\/19.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:46 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -980*o + 25. Let g(u) = 7839*u - 211. Calculate 2*g(v) + 17*t(v).\nAnswer: -982*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564643970.\nAnswer: 2, 3, 5, 17384933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 90. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 17*h**4 + 3*h**3 + 3*h - 8. Let t(z) = 33*z**4 + 7*z**3 + 7*z - 17. Let o(p) = -7*d(p) + 3*t(p). Differentiate o(n) wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 - 30*k. Let s be t(15). Let j(a) = s*a + 0*a + 2 - 2*a + 0*a. Let f(w) = 1. Determine 2*f(p) - j(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + (sqrt(19) - (2*sqrt(209))\/sqrt(11)) + -4*-6*sqrt(19)*-2.\nAnswer: -48*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 + 40 - 790*g - 1175*g + g**2 - 38 + 1031*g + g**3 to the form n*g**3 + v + c*g**4 + w*g + o*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 1) + 1 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1fbd2f (base 16) in base 6?\nAnswer: -112325503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -44*v**2. Let n(u) = -11606 + 5804 - 6*u + 5802. Give n(m(c)).\nAnswer: 264*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-9) + -2 - 14\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 13. Suppose 0 = b + 5*g - 3 - 4, -4*b - 2*g + 28 = 0. Let j(s) = 2*s - 5. Let h be j(b). Let i be t(h). Solve p - 2*q = 6, -2*q + 2 = i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b. Suppose -10 = -5*i - b. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 3*w - 2 + 12. Let j be u(7). Let k(d) = 12*d - 4. Is 16 a factor of k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(462)\/(sqrt(11)*-2))\/(sqrt(150) + (sqrt(150) - sqrt(150)*-1)).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 1\/31485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3408, 15883, 28358, 40833, 53308, 65783?\n\"Answer: 12475*l - 9067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 311889\/13, -3, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376.845 to the nearest ten.\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 62 = 58. Let o be (-10)\/5 + 0 + x. Suppose 228 = -o*u + 4*u. Calculate the highest common factor of 38 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 - 37636?\nAnswer: -37785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 13\/((-22 - -3) + -2). Let y = 2\/7 + w. Let u = -1.8 - -2. Which is the closest to u? (a) -0.3 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -1\/4, 1\/3, -1\/5, -15?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119788256 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + 3233*p - 38949. Give i(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0 = -32. Let g = 7 + q. Which is the third smallest value? (a) 1\/7 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3308049779 + -0.2.\nAnswer: 3308049778.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -22. Suppose 0 = 2*g - 8 - 0. Which is the third smallest value? (a) m (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/23)\/r)\/r)**(-47)*(r\/(r*r**(-35)))**(-5\/9) assuming r is positive.\nAnswer: r**(15856\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 43274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 197662*n**4 - 160965*n wrt n.\nAnswer: 2371944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -61 in increasing order.\nAnswer: -61, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 326*u - 5. Let b(x) = -x**2 - 167*x + 3. Give -5*b(a) - 3*c(a).\nAnswer: -4*a**2 - 143*a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 140 - 0.5?\nAnswer: 139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = -2*l - 0*o, 4*l - 5*o + 38 = 0. Let j = l - -31. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*k**3 + 19*k**3 + 2*k**4 + 43*k**3 - 4*k as u + c*k**2 + h*k**3 + r*k + d*k**4 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6697 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 4:18 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 588 - 588. Which is the closest to -4? (a) 0.3 (b) u (c) 5 (d) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1321 and 1319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6*h + 2*h = 52, -h + 17 = -d. Let l be (-5)\/d + (-68)\/(-3). What is the highest common factor of 23 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*n - 249*n - 935 = -52*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32 + 2\/9*k**2 + 14\/9*k.\nAnswer: 2*(k - 9)*(k + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258212541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -383659 and -0.4.\nAnswer: -383659.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 996\/7. Let r = -127 - -50. Find the common denominator of s and 87\/66 - 14\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3709, 3706, 3701, 3694, 3685, 3674?\n\"Answer: -r**2 + 3710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266470 (base 11) to base 10.\nAnswer: 418495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 649172074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -308, 4, -18, -5 in ascending order.\nAnswer: -308, -18, -5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a factor of 64516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*d + 6, -3*n + d + 3*d = 17. Let v = 3 + -1. Suppose -33 = -4*q + 5*c, -c + v + n = 0. What is the lowest common multiple of q and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 352*p. Let k(g) be the second derivative of -g**4\/4 - 421*g - 1. What is w(k(f))?\nAnswer: -1056*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199706*d*n**2 - 23*d*n - 231 wrt n.\nAnswer: 399412*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 27.03.\nAnswer: -135.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5 - 422*s**4 - 424*s**3 = 0 for s.\nAnswer: -1, 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -1517273541.\nAnswer: -1517273541.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439128 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 75 = 234. Let u = -43 + j. Calculate the greatest common divisor of 80 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30814 to the nearest one hundred.\nAnswer: -30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -10*x**2 - 4*x. Let o(n) = 49*n - 2. Let c(q) = 676*q - 24. Let f(m) = -c(m) + 12*o(m). Give f(s(j)).\nAnswer: 880*j**2 + 352*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/(2\/(-3))*(-30)\/30?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*r**3 - 281*r**3 + 91*r**3 + 100*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -11805 at most as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1256 (base 7) to base 8\nAnswer: -742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (7 + -9 - (1 + 18))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*a - 14*g = -4, -4 = -a + 4*g + 6*g - 15*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*b - 2*b - 29 = 0, -3*b = -4*p - 27. Let k be 112\/p*(-3750)\/4. Round k to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 177310142?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/9))\/w*w*w*w)**(-37)\/(w**4\/w*w**12))**(1\/49) assuming w is positive.\nAnswer: w**(-1208\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + v. Suppose 0 = -4*z + 1 - 5. Let g = -161 - -160. Let u(c) = c**3 + c**2 - c - 3. Calculate g*t(o) + z*u(o).\nAnswer: -o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -0.5 (c) -7 (d) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -206, -804, -1818, -3260, -5142?\n\"Answer: -2*g**3 - 196*g**2 + 4*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7821 and 3344154.\nAnswer: 792564498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -76*r - 2280. Let l be h(-30). Let g = 0.5 - 1. Let b = g + -1.5. Put l, -0.4, b in descending order.\nAnswer: l, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -843638577 and 24?\nAnswer: 843638601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 4*c + 0 - 2)*(-3 - c + 3).\nAnswer: -7*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18595*s - 152*s**2 + 166*s**2 - 76379*s.\nAnswer: 14*s**2 - 94974*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-18.57.\nAnswer: 5.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1055\/3 + 348. Let h = d + 25\/6. Let g = -52 - -259\/5. What is the nearest to 1 in g, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyymex. Give prob of sequence yy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13618 = -11*r - 11*r. Let p = 619 - r. Sort p, -6, 26 in ascending order.\nAnswer: -6, p, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(1 + -2 + -1). Solve -x = 3*n - 6*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035739 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 a factor of 870864816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116.7 - 112. Let c = 50877 - 50876.6. Sort m, c, -3 in decreasing order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**9\/9072 - w**8\/5040 - w**7\/2520 + w**6\/1080 + 2*w**3\/3 + 3. Let o(p) be the third derivative of d(p). Factor o(y).\nAnswer: y**2*(y - 1)**2*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 65 + 7. Let p = 22 + w. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 1287660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*b = 19254 + 9906. Determine f so that 572\/5*f**2 + 64\/5*f**3 + 192*f + 2\/5*f**4 + b = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138776 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*z + 69, -6*z + 72 = t - 5*z. Let b = 149 - t. Suppose -3*a + 41 = -4*u, -4*a + u = -97 + 25. What is the highest common divisor of b and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -15 - 10) + -6 - -16?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(1\/6)*u)*u*u)**19\/(u**(-2\/7)\/(u\/u**10)))**(-1\/14) assuming u is positive.\nAnswer: u**(-1097\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -7*b**2 - 607*b - 10358. What is g(-23)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(38)\/(sqrt(18)\/(sqrt(9)*2)) - ((-1*sqrt(76) + sqrt(76) + sqrt(76))\/sqrt(4) + 0)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939902652.\nAnswer: 2, 3, 13, 2008339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**3 - 2*d**2 + 7. Let t(o) = -o**3 + 3*o**2 - 2. Let h be t(3). Let r be (-44)\/8*h*1. Let a(c) = 2*c**3 - c**2 + 4. Determine r*a(n) - 6*j(n).\nAnswer: -2*n**3 + n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*z - 78 = -143*z. Solve 0 = z*b - 28*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (3 + 4 + -3)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3*t**2 + 3*t - 2. Suppose 176 = 4*w + 5*m + 148, -3*w = -4*m + 10. Calculate l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/60 + (-9)\/(-5). Find the third derivative of 0*h**2 + h**d + 8*h**2 - 9*h**5 wrt h.\nAnswer: -540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192358204?\nAnswer: 2, 19, 1481, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/3 - (-45)\/21. What is the third smallest value in k, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37.2 + -41.2. Which is the second biggest value? (a) 42 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 8. Let j be a(-7). Let y = j + 36. Is 15 a factor of (-523)\/y - (-30)\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 1939619.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 - 3*n**2)*(-4*n**3 - 2*n**3 + 4*n**3) + 276 - 2*n - 2*n**5 - 6*n**4 - 276.\nAnswer: 2*n**5 - 6*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4292.6 - 4293. Put n, -68, -6 in decreasing order.\nAnswer: n, -6, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72 (b) 4 (c) 1\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37637 <= 37637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 131278, 131088, 130898, 130708, 130518, 130328?\n\"Answer: -190*l + 131468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-32) - 338261\/(-56). What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 5*x - 3*x + (x + x - 6*x)*(0 + 0 + 1))*(-3 + 2 + 3)*(-1 - 12 - 6) - 2*x - 3*x + 3*x.\nAnswer: 264*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 34*n - 264. Give w(40).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 2:14 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (954\/(-54))\/(-53)*87\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -253, -419, -651?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1046 divide 54683270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 23*f.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**3\/3 + 19*g. Let d(n) = -4*n**2. Determine d(j(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*20\/(-450)*3)\/((-4)\/(-10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + (-1408)\/(-144). Suppose 30 = 2*m + 2*h, 3*m - 39 = -a*h + 5*h. Suppose -13*d = -m*d + 345. List the prime factors of d.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 9*p**2 + 13*p - 3. Let l be s(-7). Suppose 3*n + o + 374 = 7*n, -l*n - 2*o = -368. Is n a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or -0.44?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**1\/t*t)\/t)\/t)\/t)**(-46)*(t**0*t)**13*(t**9*t**(-4\/7))**(2\/3) assuming t is positive.\nAnswer: t**(2323\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*f + 97582 - 275896 = -2184*f for f.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 6*q**3 + 3*q - q**3 as u*q**2 + k*q + v*q**3 + h and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 + -108. What is the remainder when m is divided by ((-11)\/(-22))\/((-2)\/(-100))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-57)\/(-6))\/19.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*d + 22*d - 3 - 13*d + (1 - 4 + 1)*(2*d - d + 0*d) - 2*d + 0 + 0 + 0*d + 2*d - 4*d + 68 + 608*d - 304*d - 307*d.\nAnswer: -12*d + 65","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/6 - a + 19. Let q(r) = 6*r**2 - 4*r. Give h(q(s)).\nAnswer: -72*s**4 + 96*s**3 - 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 393310757 and 11417.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - 421. Let u = i + 248. Let y(b) = -b**3 + 7*b**2 - b - 5. What is y(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19454, -39066, -58678?\n\"Answer: -19612*p + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 70717.26nm?\nAnswer: 0.00000007071726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-90 - -67) - (91 + 11).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*-5*(-3 + sqrt(147)) + 5*sqrt(147) + 4 + -1)*-1)**2.\nAnswer: -21840*sqrt(3) + 64887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 617*v + 760*v - 382*v + 0*v in the form l*v + p and give l.\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 10:57 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*b - 34 = 0, -63*o = -61*o + 3*b - 43 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 372*b - 4. Let y be t(5). Suppose -994 = -5*f + y. Suppose 2*d + f = 4*j, 4*j - 161 - 444 = -5*d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13425 = 1937*f - 3692 + 1621 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*q - 0*q + 7, -q = 2*x - 5. Let d be 1 - (-2)\/x - 7. List the prime factors of 13 + d + 2 + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2736) - (sqrt(2736) + (-2*sqrt(2736))**2 + -1) - ((-3*(sqrt(2736) + 2))**2 + sqrt(2736))) + 5)*3 + -3.\nAnswer: -106800 - 1332*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062022 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*u - 60535 + 19123 = 696*u + 261*u for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -10. Suppose -i = -3*m - 7. Differentiate -1 + 2 - m*v**2 + 5 with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -531.59 (b) -715 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 - -179. Suppose -7*d + 2*d = -h. Let m be (-102)\/(-13) + d\/104. Is m greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3312, -3619, -3926, -4233, -4540?\nAnswer: -4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 522 - 492.22. Let c = -29.8 + o. Sort c, 8\/3, -2\/5 in descending order.\nAnswer: 8\/3, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -9. Suppose 0*f - a = -f. Calculate the remainder when f is divided by 1 + (1 + 15)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - 9. Let t = 28 + r. Calculate the greatest common divisor of t and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*g**4 + g*x**2 + 1101*x**2 wrt g?\nAnswer: -36*g**3 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let c(n) = n + 19. Let s be c(0). Suppose -3 + s = 4*m. Solve a = -5*g + m*g - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/((-690)\/75))\/(15\/10)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/6731048 and -19\/16.\nAnswer: 13462096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2936896912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6649291.\nAnswer: 11, 604481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1299 - 1276. What is the remainder when (-5)\/((-20)\/196)*1 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34 + -0.65. Let h = q + 0.31026. Round h to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 125)*(217\/21 + -10). Calculate the greatest common factor of i and 532.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -731 less than -199611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -35. Solve -2*o = -l - 4, -4*o - p*l - 2 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74901 is divided by 1432.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 7*n - 13. What is h(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59080 and 123620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5610000 and 11550?\nAnswer: 39270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -2188 and -24066\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87? (a) -5 (b) 5 (c) 0.1 (d) -2 (e) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 32\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-48)\/(-18))\/4 + (-35012)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4*-5)\/1)\/((-120)\/(-6840)*114)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5. Let p(c) = 2*c + 2. Let y be p(s). Solve -2*i + 0*i = y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13020 + 2800. List the prime factors of w.\nAnswer: 2, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3873461 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 41*s**2 + 14*s + 7. Let w(l) = 42*l**2 + 12*l + 6. Let i = 291 - 284. Let u(c) = i*w(c) - 6*y(c). Let o(z) = -2*z**2. Determine u(o(a)).\nAnswer: 192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 4*f + 3*f + (-3*f + 0 + 0)*(2 + 0 - 1 + (-1 + 1 + 1)*(-3 + 7 - 3) + 1 - 76 + 11) - f + 2*f - 2*f to the form y + x*f and give x.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 1, x: 4, i: 1}. What is prob of picking 2 x and 1 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-87120)\/(((-276)\/(-200))\/(-23)). What is f rounded to the nearest ten thousand?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/6*(-8)\/(-3) - (-9633)\/(-2470).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/11 and 29\/51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175110060.\nAnswer: 2, 3, 5, 2918501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)*(4 - 5). Let b(a) = a**2 + 22. Let i be b(y). Suppose -t = 2*t - 99. Calculate the greatest common divisor of i and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1132\/(-849)*4\/(264\/(-9)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 1115*s + 12. Calculate v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 4. Let u be o(-2). Let d = 9 - u. Suppose -d = -a - 2*h, 0*a - 4 = -2*a + h. Solve -2*v = -a*v + 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*p**2 - 446*c*p + 38*c + 139822*p**2 + 2*p - 2 wrt c.\nAnswer: -2*p**2 - 446*p + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xrxr when four letters picked without replacement from oxporoooxrxrxoox.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10492 + 10494. Let k(j) be the second derivative of 22*j - 7\/2*j**a + 0 + 1\/3*j**3. What is k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) 2\/5 (c) 133 (d) 1 (e) 1\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/75*6)\/((-2)\/(-10)). Suppose -t = -5*t + x*f + 820, f + 207 = t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3 + 81156*z**2 - 162309*z + 81154 = 0. Calculate z.\nAnswer: 1, 81154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 14*q**3 - 2*q**2 + 16*q**3 + 15*q - 28*q**3 - 23 + 7. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 7*z**2 - 28 + 21*z + 3*z**2 - 2*z**3 + z**3. Let t(g) = g**2 - g + 1. Let f(m) = -d(m) - 6*t(m). What is the units digit of f(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -369*m + 9631 + 4850 + 3231 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*n - 3*r, -2*r - 182 = 3*n - 189 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -3 + 38 - (-52 - -70)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.97 + 5. Let w = 0.13 - o. Let u be (15\/(-10)*2)\/(0 + 1). What is the closest to w in 1, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 55*v = 50*v + 12537, 3115 = -u + 4*v. Sort 4, u, 5 in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 4.63, -5, -6, -1\/11 in ascending order.\nAnswer: -22, -6, -5, -1\/11, 4.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6823 rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2737*p**2*u**2 + 2*p**2 + 841*p*u - p - 2*u**2 + 2*u wrt p?\nAnswer: 5474*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*o - 362*o - 24*o + 34632 = 0 for o.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i - 141*i**2 - 1 - 60*i - 5 + 122*i**2 + 5.\nAnswer: -19*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 471, 460, 431, 372, 271, 116, -105, -404?\n\"Answer: -2*g**3 + 3*g**2 - 6*g + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71599949 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 9 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/215154576 and -59\/21892?\nAnswer: 215154576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 88*x**2 + 118*x + 1736. Give f(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 6*y + 6. Let m be a(4). Suppose 2*u - u = m. Suppose 0*b + u = 3*b - 5*c, 0 = 5*b + 5*c - 10. Solve 0 = -b*x - 11 - 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - y**3 + 3*y + 8 - 6*y**2 - 2*y. Let b be a(-8). Calculate the highest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*z + b, 5*z - b = -38 + 3. Let y(c) = -c**2 - 7*c + 5. Let d be y(z). Suppose 7*j - 99 = -2*j. What is the greatest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*i**3 + 481*i**3 - 760*i**3.\nAnswer: -686*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68661.\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3902 divided by -3902\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -6 + 24 - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**3 + 30*a**2 + 2*a - 12942 wrt a.\nAnswer: -3*a**2 + 60*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -34, -5.2 in descending order.\nAnswer: 5, -5.2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 609*d + 20795 + 9655 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k + 2. Let p(z) be the first derivative of -z**4\/4 + 47*z + 14. Let d(v) be the first derivative of p(v). What is d(x(j))?\nAnswer: -1323*j**2 - 252*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 3.4. Let k = 0 - -1. Which is the nearest to k? (a) 3 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 3*b**2\/5 - 25416*b\/5 - 25419\/5 = 0.\nAnswer: -1, 8473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 - 10*c + 214. Let d be f(8). Solve 3*b - 10 = 2*o + d, 0 = -o - 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10047 - -10033. Which is the nearest to 2\/5? (a) -0.5 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10416 and 16.\nAnswer: 10416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*h**2 - 55*h + 0 - 5 + 180*h**3 - 169*h**2.\nAnswer: 5*(h - 1)*(6*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 5:40 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 10394*t**2 + 1108740*t - 2259072.\nAnswer: 2*(t - 2)*(t + 111)*(t + 5088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -3.4, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20178*b**2*i**5 - 185*b**2*i - b*i + b + 5*i wrt i.\nAnswer: 403560*b**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 137851422*l - 275702836.\nAnswer: -2*(l - 68925709)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*n + 157, -4*k + 2*n + 124 = 4*n. Suppose 7*q - 3*q = 12. Suppose -q*o - 60 = -7*o. Calculate the remainder when k is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 41?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 190 = -5*y. Let m = 15 - y. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**5 - 5*c**5 + c**5 + 3010*c**5 - 7550*c**5 + 3085*c**5 + (-5*c - 2*c**2 + 5*c)*(2*c**3 - 1 + 1).\nAnswer: -1458*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1\/15*a**5 - 11 + 0*a + 5\/9*a**3 + 1\/3*a**4 + 1\/3*a**2. Let s(m) = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171 and 26320491.\nAnswer: 26320491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + (-558)\/45)*(-80)\/216?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 705?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4910365 rounded to 1 dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/36 and -107\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**4\/12 + 17*c**3\/6 - 5*c. List the prime factors of x(11).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12*-2)\/((-6)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2700 and 16400.\nAnswer: 442800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**2 + 4*y - 3. Let r(k) = -6*k - 3. Let o be r(-1). Suppose 0*u + o = u. Let i be v(u). Calculate the highest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478 divided by 478?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94705318*a*h + 27241*h - 725 wrt a?\nAnswer: 94705318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) + 1\/(-35). Suppose -3*g + 10 - 3 = 4*u, 3*u - 2 = g. What is the closest to 1\/3 in d, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -108. Calculate the highest common divisor of 75 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/33 + (-100107)\/(-297). Solve -335*k + w*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 201218267*v**2 - 2*v - 209387015.\nAnswer: 402436534*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*s + 31768 + 75188, -53464 = -2*s - 5*r. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/10)\/((-9)\/(-6)). Suppose g - 6 = 4*g. Which is the nearest to z? (a) -2\/3 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 371424 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1957 - -3439. Does 38 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 != 18.893807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 19*p**2 - 6*p. Let n(r) = -39*r**2 + 13*r. Let x = 1022 + -1028. Determine x*n(l) - 13*y(l).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/3, -3\/7, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -3\/14 (c) 17 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174964790 rounded to the nearest 1000000?\nAnswer: 175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 5*m)*(3*m + 0 + 0) + (3*m - 4*m + 4*m)*(0*m + 0*m + 2*m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -17 + -25 - -18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x + 30*x - 58*x - 2 + 2.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(-2\/15)*(m*m**(1\/3))**(8\/3))\/((m\/m**0*m**3*m)\/((m\/m**2)\/m**0)) assuming m is positive.\nAnswer: m**(-122\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -12 - 3. Let c(f) = -l*f - f + 5*f - 2. Suppose -2*j - k = -0*k - 10, 2*k = -j + 2. Calculate c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 965, 1449, 1933?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -855 = 6*m - 9*m. Suppose -6*z = -z - m. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, s: 7}. Give prob of picking 1 s and 1 q.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 0.0826?\nAnswer: 4.9174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y**2. Let w be s(-1). Let k(z) = z**3 + 4*z**2 - 6*z - 5. Is k(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/4 - 221659*o**2\/4 - 221653*o\/2 + 443314 = 0. What is o?\nAnswer: -221657, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5738 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11413 = 11399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191566, -191576, -191580, -191578?\nAnswer: -191570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -10741?\nAnswer: 10740.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*i + 57. Let t = i - -29. Suppose 0 = -10*g - 19 + t. Solve f = -5*h - g*f + 14, 4 = 3*h - 2*f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790*j + 13*j**2 + 1791*j - 27*j**2 + 148*j**2.\nAnswer: 134*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5472262850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01717 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 40 = -6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by -110.\nAnswer: 27\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150\/39 + (-17)\/((-1989)\/18). Solve 0*w - u*w - 3*v = 10, 0 = 5*v - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/11, 266, -0.1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301*b**3 + 26226*b**2 + 4337*b + 3775.\nAnswer: -1806*b + 52452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w - 3. Let h(k) = -16*k + 10. Let r(q) = 3*h(q) + 10*l(q). Let j(m) = -11*m**2. What is r(j(y))?\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8722*l**2 + 317755 wrt l.\nAnswer: -17444*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 212\/309 + -2\/103. What is the closest to -0.2 in -8, y, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -40*t. Let g(j) = 9*j + 3. What is d(g(k))?\nAnswer: -360*k - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/4)\/(2 - (-11)\/(-4)). Let o(b) = 11 + 3*b + 0*b - x*b + 28*b - 6*b. Let n(j) = 9*j + 5. What is -13*n(y) + 6*o(y)?\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 2 + 2)*(539 + k - 3*k - 1060).\nAnswer: -4*k**5 - 1042*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/6 + o**3 - 40*o**2. Determine v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 - 4*z**2 + 3*z**2)*(2*z + 2*z - z) + (5*z - 3*z - 4*z)*(-3*z**2 - z**2 + 2*z**2).\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1071 - 3*f - 1071.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 33. Let q be u(16). What is the remainder when (-20)\/6*((1 - 12) + q) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) + 2 + -6. Let u = z - -3. Calculate the least common multiple of (-1 - -2)*(u + 8) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*c + 90*c = -10 - 178. Let j(n) = 5 + n - 4 - 3 + n**2. Let a(r) = -r**2 - 2*r + 3. What is c*j(p) + 3*a(p)?\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3935*z - 4650 = -4025*z - 341 - 349 for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109950, 221009, 332066, 443121, 554174?\n\"Answer: -i**2 + 111062*i - 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 236 + 316 = -4*q, q - 4*g + 163 = 0. Let y = -143 - q. Solve -p - p + 4 = y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 7*b - 8. Let y(f) = -106 + 106 - f**b - 5*f. Let t be y(-3). Calculate the greatest common divisor of t and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 33591*a + 2. Let h(l) = -l**2. Determine y(h(m)).\nAnswer: -33591*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 39257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9024 + 9024. Solve 21*z - 65 + 23 = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*1)\/sqrt(9) - (sqrt(200)*-3 + sqrt(50)))\/(-6*(sqrt(10) + sqrt(640))*2).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396.8 + 397.2. Let j be -10*(-11)\/106 - 1. What is the biggest value in -0.2, k, -5, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7395, 14805, 22219, 29637?\n\"Answer: 2*c**2 + 7404*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503748589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3 - k**2 - 2071*k + 3585 wrt k.\nAnswer: -3*k**2 - 2*k - 2071","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472352 is divided by 78722?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 8*y - 6. Give t(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-12)\/(b\/(b**(-10)*b))*b**(-1\/4)\/b**4 assuming b is positive.\nAnswer: b**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opxwwopwoxwwwwwpwpw. What is prob of picking 2 p?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 3 + 4 - 8*a**2)*(-5*a**2 + a**2 + 2*a**2).\nAnswer: 2*a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2. Let q = -12 + 12. Let h = 2 + q. Let a(r) = 2*r**h - 2*r**2 + r**2. Give v(a(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 - d**4\/6 - d**3\/2 + 3*d**2\/2 - 2*d. Let w be (4 - -1)*(-8)\/10. Is l(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-3*m + 0*m + 2*m) + 13*m - 4*m - 42*m.\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -7*x. Let m(z) = 3*z. Let i = 9 - 11. Let f(v) = i*o(v) - 5*m(v). Let g(l) be the first derivative of -4*l**2 - 35. What is f(g(t))?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and (-4)\/4*(-15)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 4) + 0\/(-1). Suppose 10*n = v + y*n - 43, -2*n - 208 = -4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 1:15 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 14*c - 15. Let p(u) = u**2 + 4*u + 5. Let g(o) = -7*p(o) - 2*s(o). Let r(i) = 5*i**2 - 11. Give -7*g(f) + 3*r(f).\nAnswer: -6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 240*a**2 - 187*a**2 - 823 - 23 - 3*a**4 - 329 with respect to a.\nAnswer: -12*a**3 + 106*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*b**3 + 12*b**3 + 17*b**2 - 19*b**2 + 196*b**3.\nAnswer: 325*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 u when four letters picked without replacement from {s: 10, u: 4}?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10}. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 171, 242, 305, 360, 407, 446?\nAnswer: 477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let n(x) = -3*x - 1. Suppose 2*h + 4 = 12. Let r be (h\/(-12))\/((-1)\/(-3)). Give r*n(t) + 5*w(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0 + 4\/27*z**3 + 0*z + 77\/270*z**5 - 1\/3*z**4 + 8*z**2 - 3\/35*z**7 + 1\/15*z**6. What is a in k(a) = 0?\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 12:19 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8) + 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2 - 0) + (-31 + 15 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 4698?\nAnswer: -46a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375*p - 17756330 = 98*p + 10868019. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -35, -1, -2, -19 in ascending order.\nAnswer: -35, -19, -11, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 7. Let p = -14 + x. What is the second biggest value in 3, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32970 divided by -2355.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811300 rounded to the nearest ten thousand?\nAnswer: -1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*h*p*r - h*r - 55*p*r + r - 4 wrt h?\nAnswer: -12*p*r - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*s**5 + 17*s**4 + 7490*s**3 + 612*s - 97?\nAnswer: 80*s**3 + 204*s**2 + 44940*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.41, 0.4, 0.5, 4.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37450, -37440, -37412, -37360, -37278, -37160, -37000?\nAnswer: -36792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1996 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*z - 18, -z - 194*i + 26 = -199*i for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -17 + (3 + 2 - -1134). Which is bigger: 1124 or m?\nAnswer: 1124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 * 73\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 18 = -57 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/35 and -36\/755?\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370743, 370247, 369747, 369243, 368735, 368223, 367707?\nAnswer: 367187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*i**2 + 5*i + 15*i - 64*i**2.\nAnswer: -3*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*q**3 - q**2 - 9*q**4 + 70*q**4 - 500*q - 54*q + 107*q**3 wrt q.\nAnswer: 732*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/(-18))\/(4\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -0.8. Let o = -0.5 - m. Let g = -0.36 - -0.16. What is the third biggest value in g, o, 1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 0, 122, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 37 + 7*g)*(8*g**3 + 8*g**3 + 20*g**3 - 9*g**3).\nAnswer: 189*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131930938*o**2 - 106*o - 691871 wrt o.\nAnswer: -263861876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 3*o**2\/2 + 31*o + 27. Let v be d(-7). Solve -5*z - 15 = v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 45, 178, 399, 708, 1105, 1590, 2163?\n\"Answer: 44*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 - 8*i**3\/3 - 3*i**2 - 1. Suppose 4*a = -4*t + 52, 1 = -19*t + 20*t - 2*a. What is the tens digit of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((4 - -2) + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, 11, 82, 133, 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*g = 5*a - 264*g + 23, -5*a - 35 = 10*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 1\/5*c**5 + 16\/5 - 36\/5*c + c**3 + 4*c**2 - 6\/5*c**4 = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423566 divided by 133\nAnswer: -423566\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 81\/(-45) - (-108)\/10. Solve -175 = -44*w + a*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.042 + 0.062. Let d = -1.104 + l. Which is the second biggest value? (a) 0.1 (b) d (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 8692.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/5)\/h*h)\/h*h)**(-16)\/(h**0*h**(-1\/4))*((h**(-1\/3))**(-11\/5))**27 assuming h is positive.\nAnswer: h**(273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -16. Let p = -0.1 + -0.9. What is the second biggest value in 5, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 10, n: 3, j: 2, w: 2}. What is prob of picking 1 j, 1 e, 1 r, and 1 n?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4774, -9525, -14276, -19027, -23778?\nAnswer: -28529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*q**2*w**2 + 36*q**2 + 2*q*w - 2*w**3 wrt w.\nAnswer: 108*q**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - w**2 - 8*w - 1. Let v be p(-2). Suppose 12 = 4*j, 2*u + v*u - 4*j = 78. Calculate the least common multiple of 20 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 0*n)*(2 + 1 - 4) + (8*n + 52*n + 114*n)*(3 - 2 + 0).\nAnswer: 175*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 16*j - 1\/3*j**3 + 92 + 15\/2*j**2. Find z such that l(z) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6601\/5790 + 18\/193. Calculate the common denominator of h and -20\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(275) + 2 + sqrt(275) + 0 + 1*sqrt(275) - (6*sqrt(275) + 2)*-6)**2 + 5.\nAnswer: 6630*sqrt(11) + 418569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 plus -1.2?\nAnswer: 240.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 4, d: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 9\/5)*5. Let h = 21 + -66. Let c be ((-8)\/(-3))\/((-30)\/h). Solve r = -c*v + v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*o - 2533, 2*o = h - 3*o - 1277. Suppose 258 = -4*y + h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 1568, 2352, 3136?\nAnswer: 3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/6 - 71\/6. Let g be -1*(-8)\/d*-3. Solve -n - 2*v - 9 = 0, g*v - 12 = 6*v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - -9 - 1*3. Let t be p*(-3)\/(-12 - -3). Is (-2)\/t - (-789)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 10*i - 11. Let s = -43 - -37. Give f(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 d when three letters picked without replacement from jejecdjrqjccccccj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 19*x + 1. Let l be m(-21). Let p = -41 + l. Suppose -5*g = p*r - 1329, g - 2000 = -3*r - 0*g. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/12 + 3*b**2\/4 - 132. Factor h(g).\nAnswer: -g*(g - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + s = -0*s + 1834, 0 = -4*y + 2*s + 3684. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1*83\/1).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 209*d - 14. Let u(k) = -2*k. Calculate a(u(q)).\nAnswer: -418*q - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {s: 7, q: 2, c: 1, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4631218 meters?\nAnswer: 463.1218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2980 and 1022885?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 2*l - 3*f, -l + 3*f + 9 = 0. Suppose -s + l*s + 4 = 0. Is 13 a factor of (-10 + -3)\/(s\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/(-54)*-9*-8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -847?\nAnswer: -84c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 107*r + 772. Let l be s(-6). Solve -46 = 21*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 283*o**3 - 30*o - 28*o + 14 + 52*o wrt o?\nAnswer: 1698*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 4)*(3\/2)\/(-3). Let j(s) be the first derivative of 3 + 1\/10*s**5 + 1\/8*s**4 - 1\/4*s**d - 1\/6*s**3 + 0*s. Factor j(b).\nAnswer: b*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -1\/7, -0.11, -0.2, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 4) + (18 + -33 - -10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -170803136356 - -170803136406.9906622053. Let o = v - -0.0093444947. Let w = 51 - o. What is w rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -1 (b) 2\/9 (c) -0.9 (d) -12 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q**4 - 3425220*q**3 - 146653363205*q**2 - 146650794300*q - 36662484500 = 0.\nAnswer: -85630, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5852 times -1.4?\nAnswer: -8192.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 449.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 719950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.475 or 298\/13?\nAnswer: 298\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + -136. What is the hundreds digit of ((-1 - 2) + 3 - -305)*r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkko when four letters picked without replacement from kkkkkokkxokxokox?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 + 5*m + 7. Suppose 5*d + 24 = 4*f, -5*f + d = 5*d - 30. Let c(n) = 6*n + 5*n**2 - 12*n + 5*n + 5*n + f. Determine 5*c(k) - 4*i(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41781, 41801, 41857, 41967, 42149, 42421, 42801?\nAnswer: 43307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (266 - 96 + 540)*(-1 - 1 - 2)*(a**2 + 0*a**2 - 2*a**2).\nAnswer: 2840*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-1 + -1 + (3 - -5) - -11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4566700*v**2 - 4*v + 64686259.\nAnswer: 9133400*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(637) + -4 - sqrt(637) - (-5*(-1 + sqrt(637)))**2.\nAnswer: -15954 + 336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 467551.18 + -8293.18. Let c = -459201.0003 + v. Let n = c - 57. What is n rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t + 20. Let c(w) = -3*w - 5. Let s(i) = 9*c(i) + 2*l(i). What is the remainder when s(-5) is divided by -9*((-2)\/(-6) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78 + 22*u**4 - 168 + 2*u**2 - u - 4*u**3 + 91 to the form n*u**3 + o + f*u**4 + d*u**2 + w*u and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4}. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd - 2?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -11*p**5\/30 + p**2. Let m(v) = 2*v**2 - 3*v - 3. Let t(y) = -2*y**2 + 2*y + 2. Let n(c) = -2*m(c) - 3*t(c). What is n(s(f))?\nAnswer: 968*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1534.736*-11\nAnswer: 16882.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -257\/3. Let b be (-3)\/(0\/1 - 1). Let y = 2 + -2.1. What is the closest to y in b, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwlwvyrwvwvlyw. What is prob of sequence vv?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1495128 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -642 - -628. Which is the third smallest value? (a) u (b) -0.4 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100 + -98. Solve 0*p - c = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (0 - -1) + 2. Let j be (105\/(42\/(-6)))\/(p\/(-2)). Calculate the greatest common divisor of j and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48558704578 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 s, and 2 q when four letters picked without replacement from vqqzsqz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2597 and -1.6?\nAnswer: 2598.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 24*p**2 - 73*p**2 + 89*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from tpptppptppt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.702 + 0.198. Let a = q - 8. Let i = 1.6 + -1.3. What is the closest to 1 in a, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -856 = -5*j - 121. Suppose 157 = -3*c + 5*r - 76, 0 = 2*c - 5*r + j. Let p = -46 - c. Calculate the greatest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b**3 + 2*b)*(5 + 1 - 1)*(-b**2 + b**2 - b**2).\nAnswer: 5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 8519*o + 2*o**2 + 5*o**2 + 28.\nAnswer: 7*o**2 + 8519*o - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15549219.112433 minus -2?\nAnswer: -15549217.112433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -67\/21, -4, -6\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 c when two letters picked without replacement from {c: 1, l: 2, a: 1, h: 2, j: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 42*k**2 + 36*k - 62. Let b(u) = u**3 - 13*u**2 - 11*u + 21. Let x(y) = -7*b(y) - 2*m(y). Determine x(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 7*j + 2. Suppose -52 = 5*o + 48. Let z be -5 + (-5)\/(o\/(-8)). Calculate i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134419 take away -0.88?\nAnswer: 1.014419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 5:03 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 7803 (b) -3 (c) -733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43470300 rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, n: 6, v: 1}. Give prob of picking 3 k and 1 n.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2360 and 80535?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 14 + 25)*(-3*x + 6*x - 2*x + 1 + 2*x - 1 + (1 - 1 - 3*x)*(1 + 3 - 2)) as j + r*x and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1926 a factor of 95486844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 4, -1, 725 in descending order.\nAnswer: 725, 182, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 - 5*g**2 + 5*g. Let x be t(-6). Suppose -4*v + 346 = -2*p, 5*v = -3*p - 0*p + x. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -323 less than -10.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 7 + 19 = -f, -3*f = z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7641435 months in centuries?\nAnswer: 0.00063678625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -112999*n + 338998. Determine d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*u + 45*u = 153716 + 17884. Calculate the remainder when u is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 6*p. Let j = 10 - 8. Solve p = -k + j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15597, 15594, 15591, 15588, 15585?\n\"Answer: -3*s + 15600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*i + 4, -23 = -0*h - 5*h - 4*i. What is the remainder when 10 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61675977 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7157.8501 rounded to the nearest ten?\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**3 - 11*l**2 - 17. Let q = -19 + 27. Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - -3.93. Suppose 9*l + 3*w = -24, 2*l - 3*w + 5 = -4. Which is the closest to -1.9? (a) 2 (b) i (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25283 + -25283.0061495. What is c rounded to 4 dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 642 + 642.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1210 - 1217. Let k = 2886\/19 - 152. Which is the second smallest value? (a) k (b) t (c) -3\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -209. Let y = v + 190.11. Let c = y + -7. Is -1\/2 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 at least 80286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*20\/90)\/((-22)\/(-660)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/35*9765\/186.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-36))\/((-2)\/2)*14\/14*184?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(-7)*y))\/y**(1\/9))\/(y**(-7)\/y)**(5\/19) assuming y is positive.\nAnswer: y**(-1027\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -13, -14, -15, -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**4 - 2*n**3*q + 4*n**3 - 2*n**2*q + 11*n**2 - 2*q wrt n.\nAnswer: 24*n - 12*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7777015 is divided by 53.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14225 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -3 + (10 - 8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6126 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14363 is divided by 717?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s + 3\/2*s**3 + 0 + 7*s**2 + 3\/4*s**4 - 1\/20*s**5. Determine c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*k**2 + 119*k - 119*k + (2*k + 4*k - 4*k)*(-5*k - k + 3*k).\nAnswer: -90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(0 + 0 + 2).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -292 - -218. Put 0, x, -4, 3 in decreasing order.\nAnswer: 3, 0, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4. Let x(j) = j + 42. Let w(z) = -6*c(z) + x(z). Give w(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.9395 and 1321986.1?\nAnswer: 1321983.1605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 62?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1141 - 1149) + (5 - (36 - 2)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00276693 to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078 divided by 4078?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/((-46)\/14 + 3). Suppose 9*c + 10 = h*c. Suppose j = c*j - 18. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, -2\/19, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10585 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34271 (base 11) to base 16\nAnswer: c19f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 = -p, -i - 2*p + 5*p = 13. Let l be 2\/4*1*12. Let w(c) = c + 16. Let v be w(-12). Solve v*q = -i + l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let q(r) = -116*r**2 + 222*r**2 - 111*r**2. Calculate q(j(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v**2. Let f(c) = -12*c - 10. Suppose -4*z + j = 83, -z + 11*j - 35 = 6*j. Let k(x) = -x - 1. Let m(a) = z*k(a) + 2*f(a). Determine m(t(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 101320520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20699400 rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - (-14 + 11) - (95 + -82).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(-9)\/48*-4. Suppose -6*u - 15 = -u + 5*g, 5 = -5*u - w*g. Solve -10 = 5*x + 4*t + t, -u*x = 5*t - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 + 0.01. Let d = 31 - 34. Which is bigger: u or d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -211267312*x - 43771849 wrt x?\nAnswer: -211267312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from ccwzwzlzkxcwkxwzx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztwszzqwwzzqttwtcwtc. Give prob of sequence zcc.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*g + 408*g + 392*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*t + 5*u, 2*u - 26 = -t - 2*u. What is the first derivative of -13 + t*h + 7 - 1 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**2 - 4*u**2)*(-3 - 2*u**2 + 3) + (3*u - u + 0*u)*(-5 + 3*u**3 + 5) - 24*u**2 + 24*u**2 - 14*u**4.\nAnswer: -6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (14520\/(-1694))\/((-198)\/(-231))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 116\/16 + (-6)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -17290656.7?\nAnswer: 17290656.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1568*y**2 - 1568*y**2 + 4*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3245 + 1.3245. Let h = -59 - -54. What is the closest to -1 in 1\/7, -1\/9, v, h?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*v + 2 + 11, v + 5*d - 11 = 0. Let c be 24\/(-18) + -1 + 4 + -2. Is c >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 (base 5) in base 3?\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i. Let z be 55\/(-242)*(-264)\/12. Solve i = 2*a + 3 - z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24475 and 42383.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-40)\/(-50))\/((-44)\/(-297)) + (2 - -8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Suppose s = 3*y - y + 2. What is the common denominator of ((-172)\/20)\/((-1)\/y) and -13\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 times -6?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**4 - 10*m**4 - 2*m + 3*m**4 - 2 - 8*m**4 to the form h + l*m + w*m**4 + y*m**3 + z*m**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113774 or 113775?\nAnswer: 113775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -14. Is u greater than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.23, 4, 0.1, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/16 and (-3)\/(-6) - (-4151)\/(-7056).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/9, -3\/4, 78?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -18*w**3 + 14*w**2 + 17*w + 5. Determine f(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4186?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53048 = -2*s - 53100, 6*s = 4*j - 156 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*3 + sqrt(85))*6)\/sqrt(5).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, -5, 61 in increasing order.\nAnswer: -5, -3, -2, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 177*x**3 + 6*x**2 + 19*x + 8. Let g(y) = 176*y**3 + 6*y**2 + 14*y + 6. Calculate -3*f(o) + 4*g(o).\nAnswer: 173*o**3 + 6*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 748.158079252 - -0.066\nAnswer: 748.224079252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 4 - 10)*(0*p + 3*p - 2*p)*(1 + 0 + 1)*(0 + 3 - 1) to the form o*p + i and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -10. Let r be (-12)\/8*(h + 0). Sort 1, 2, r.\nAnswer: 1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {i: 4, q: 2, r: 8, o: 5}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b**2. Let d(f) = 23*f**2 - 7*f + 10. Let u(k) = -24*k**2 + 11*k - 12. Let y(w) = -6*d(w) - 5*u(w). Calculate y(m(x)).\nAnswer: -5202*x**4 + 221*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -21, -38, -53, -66?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 207. What is d(-35)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13028 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v. Let f(g) = 53*g**2. What is f(r(j))?\nAnswer: 848*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1832984.\nAnswer: 2, 229123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29208, 124130, 282334, 503820?\n\"Answer: 31641*y**2 - y - 2432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 635 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -295 + 305. Let i(m) = -5*m + 11*m - 8*m - n*m. Let p(o) = 3*o. What is i(p(k))?\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284177 and 2139310.\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5 = 4*w + 17, 3*n - 18 = w. Suppose -n*j = -10*j + 250. What is the tens digit of (j\/(-4))\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 bigger than 346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23391 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqhqqhffqhhqqqqq. What is prob of picking 1 h and 3 f?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4373091632 and 10192.\nAnswer: 10192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*n = -27 - 117 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6332.434t in kilograms?\nAnswer: 6332434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649 and 885?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w**2 - w + 1. Let a(r) = -r**3 - 9*r**2 + 10*r + 4. Let v be a(-10). Suppose v = 4*l - 0. Suppose -o = -2*o + l. What is m(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 5\/(10\/(-4)). Let r be 4\/(-4 + 2) + c. Suppose 4*y = -3*g, -3*y + g - r*g = 0. Solve 2*s - 5*s + 12 = y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(1\/19) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s - 50030 = -28*s. List the prime factors of s.\nAnswer: 2, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 16 + -7 + (-4 - (-8 + 0)) + 28.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 10*t**2 + 8*t - 3. Let s be h(9). Let l be (-3)\/2*s\/9. What is the derivative of -5 - l*x**3 + 0*x + 0*x + 4 wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -2636?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1.069, 2, 3\/8, 1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 12:38 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 217 + -109 - 11*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/44528 and 79\/15671832?\nAnswer: 344780304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14356 and 194?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -3, 2\/3, -2\/101, 2\/51?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(637)) - (6*sqrt(26)\/sqrt(2) + (sqrt(13) - ((sqrt(325) - sqrt(325)*1)**2 + sqrt(13)))).\nAnswer: -41*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i + 26. Let u be 1068\/(-72) - (-2)\/(-12). Let a = u - 0. What is the units digit of l(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 5632812.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*3\/24)\/(2\/8). Find the second derivative of 54*b**2 + 34*b - 12*b**3 + 4*b**3 - 54*b**h - b**4 wrt b.\nAnswer: -12*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 5*l**2 - 8*l - 11. Let u be o(-6). Is (518\/28)\/(u\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckllcccccccmkmckkm. What is prob of sequence lccc?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 28 + 2. Let y(r) = 5*r - 4. Let x be y(5). Does 6 divide (-1)\/((v\/x)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*i + 5*i - 36. What is the greatest common divisor of 129 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 710176 to the nearest ten thousand.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -87.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -547 - -551. Put 8, r, -5, -4 in descending order.\nAnswer: 8, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11380, 11379, 11378, 11377, 11376, 11375?\nAnswer: 11374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 110 - 58 + 22*q**2 + q**2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/9520*-10*4\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-20\/7))**(-11\/4)\/(n**(2\/3)\/n*(n*n**(1\/2)\/n)\/n*n**(-2\/11)\/n**(-3)) assuming n is positive.\nAnswer: n**(2713\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303416847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/(1 + -2) - (-9)\/(-27)*15. Solve 14*x - 40 = q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2 - 9*a**2 + 6*a - 2*a + a + a**3 - 5. Is 5 a factor of u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 4056*a + 4112784 = 0.\nAnswer: 2028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6545101 - 2?\nAnswer: 6545077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136300, -272639, -409148, -545911, -683012, -820535?\nAnswer: -958564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**1)**(-50)\/(q**(-6)\/(q\/(q\/(q\/(q\/((q\/(q\/(q*(q\/q**(-1\/12)*q)\/q)))\/q))*q*q)*q))))**(-40) assuming q is positive.\nAnswer: q**(-970\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6 + 22 + 4*l - 3*l. Let g(j) = -j - 18. Let a be g(-7). Let i be t(a). Solve i*x - 1 - 24 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 44, 76, 142, 254?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*-3*3 + sqrt(550)\/sqrt(2) + 3.\nAnswer: -22*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)\/z*z)**38 assuming z is positive.\nAnswer: z**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -4475824.\nAnswer: 1\/4475824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3425441971.9 - 0.0583.\nAnswer: 3425441971.8417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 481021.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*q**5 - 12167*q**3 - 218078*q?\nAnswer: -280*q**3 - 73002*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17890 (base 10) to base 6.\nAnswer: -214454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 24. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 2*b**2 + 7*b - 12. Let a be q(2). Find the third derivative of 42*i**2 + 85*i**3 - 85*i**3 + 61*i**a + 99*i**4 wrt i.\nAnswer: 2376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601107 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = 11. Find the third derivative of 0*b**x + b**4 + 6*b**4 - 10*b**2 wrt b.\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -27, -34, -43, -54, -67, -82?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136682777?\nAnswer: 61, 100601357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -686, -3, 0 in increasing order.\nAnswer: -686, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11531\/8148 + 1\/679. Let b = 13\/6 - j. Let i be (6\/(-21))\/((-108)\/(-84)). What is the closest to -2 in i, b, 5\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -8722533221.083?\nAnswer: -8722533223.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145203 (base 6) to base 12.\nAnswer: 8203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 435.3683t?\nAnswer: 435368300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 972 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35776 by 8944.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d - 27. Let r = 88 + -102. What is the tens digit of i(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2. Let t(f) = f - 4. Let g be t(5). Suppose 0 = -3*a + 2*k + 6, -2*k - 2*k = -12. Let x(q) = -q + 3 + g - a. What is x(j(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -5. Let c = y + 7. Suppose w + 3*f = -c*w + 22, -2*w - 4*f + 44 = 0. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8154, 15591, 22298, 28269, 33498, 37979, 41706?\nAnswer: 44673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 82?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:18 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 1748.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1236*c + 299. Is h(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3065 - -370862\/121. Calculate the common denominator of b and -49\/165.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(6\/(-27)*3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/10)\/((-12)\/10). Let p = 68.1 - 75. Let x = -7 - p. Which is greater: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -25911?\nAnswer: 25910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.31 + -5.292. Let n = 0.002 + q. Round n to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 60.0310168, -4 in decreasing order.\nAnswer: 60.0310168, 4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 30. Suppose -k = -w + 3*k - v, 0 = -2*w - k + 8. Solve -17*h**w - h**2 + 9*h**4 + 6*h**2 - 3*h**5 = 0 for h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -54. Suppose -t + p - 5 = 0. Solve -w = 3*l + 17, -3*w - 10 = -t*l - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2934, 2923, 2888, 2817, 2698, 2519, 2268, 1933?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7525*c**2 - c - 2. Let f be v(2). Let j be (f\/4548)\/((-20)\/33). Let r = 84\/379 - j. Calculate the common denominator of r and -51\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175540 divided by -4?\nAnswer: -543885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xda when three letters picked without replacement from dadhadaxwdwawhxwwad.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -41*m. Let a(j) be the third derivative of 7*j**5\/60 - 402*j**2. Give a(r(g)).\nAnswer: 11767*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/5)\/(297\/(-495)))\/(1898\/(-117))?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, -2, -6.9, 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -354 - -349. Which is the third smallest value? (a) y (b) 0.4 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8102562642453 and 40.\nAnswer: 8102562642493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {f: 4, t: 11, w: 3, d: 1}.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6601 divided by -3?\nAnswer: -6601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 412 - 11110332?\nAnswer: -11104420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 3 + 3 + (2 - 1 + 0)*(-1 + 3 - 1)*(3*b - 6*b - 5*b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, -2221, 4.\nAnswer: -2221, -0.2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let g(z) = -17*z**2 - 9. Calculate g(v(a)).\nAnswer: -17*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/20)\/((-2)\/215). Let l = s + -90. Let x = -42 + l. Let g(a) = -5*a - 2. Calculate g(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.88 + 0.12. Let w = -7.4 + t. Let y = 1.400086 + w. What is y rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39656.49 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 0*h**4 + 39 - 33\/5*h**5 + 44\/3*h**3 + 0*h + 0*h**2. What is the third derivative of g(y) wrt y?\nAnswer: -792*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(48)*-1 - sqrt(48)) + sqrt(12))\/sqrt(4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2535.966 * -4.\nAnswer: -10143.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1234 is divided by 382.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, 64, 2, 1\/2, 2\/3?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l + 25*l = -72. Let c(j) = -j**3 - 8*j + 2*j + l*j**2 - j + j**2. Determine c(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 463, -1\/4, 0, -0.05, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -128055341 divided by 23657\nAnswer: -5413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410542 by 157.\nAnswer: -410542\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99960)\/(-7812))\/(-85)*(-3)\/7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 504 and 2862.\nAnswer: 80136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11821, -11817, -11811, -11803, -11793, -11781, -11767?\nAnswer: -11751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 + c - 10. Let o be f(-8). What is the remainder when (o\/(-3))\/(1\/3) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*u - 99*u - 144*u + 9*u - 1.\nAnswer: -186*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * 0.15775.\nAnswer: -0.53635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11190, -11291, -11392, -11493, -11594?\nAnswer: -11695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, -615, -2398, -5871, -11598, -20143, -32070?\n\"Answer: -94*n**3 + n**2 - 2*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 14) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 182.92763 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13124 + 13125. Which is smaller: z or 6\/2299?\nAnswer: 6\/2299","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6964, 6689, 6414, 6139, 5864?\n\"Answer: -275*y + 7239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**4 - 149*r**3 + 365*r**2 - 17274357.\nAnswer: -16*r**3 - 447*r**2 + 730*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1188461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 3*o. Suppose 8*q - 3*q + 3*k + 25 = o, 0 = 5*k. Let s(v) = -v**3 - 5*v**2 - 2*v - 5. Is s(q) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/222? (a) -1 (b) -1.4 (c) -2\/13 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201020 - -10301210?\nAnswer: 10100130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 0.12645 (c) -1357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2)\/((-14)\/21). Let x be 2\/h*15\/2. Suppose 5*v = 3*d - 2*d + 132, 2*d = -x*v + 126. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52394*h**3 + 96*h**2 + 8*h + 4 wrt h.\nAnswer: 314364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 55 = 3*m. Suppose -3*f - 10 + m = 5*c, 45 = 3*f - 5*c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s - 5*n + 89, 76 = 3*s - 4*n. Suppose g - 28 = s. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1840703777 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.019998 - -1\nAnswer: 0.980002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8880\/320 + 19)*(-6)\/(-11).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nngg when four letters picked without replacement from {g: 12, n: 3}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2236 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 1749*a + 529096. Let s be q(-389). Let p be 68\/18 - 4\/(-18). Let d be ((-6)\/p)\/(1\/(-38)). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2730216 and 0.1533481?\nAnswer: 2730216.1533481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -3*b, 0*x + 11 = -x - 3*b. Find the common denominator of 10\/7*(-161)\/12 and x + 303\/(-60) + -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-36)\/8 - (-501)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 12. Suppose -3*g = -i*g + 75. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298.327126 rounded to one decimal place?\nAnswer: 298.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -56*(21\/(-6) + 3). Suppose 0 = 2*c + l - 26. What are the prime factors of -5 + 3 - (-157 - c)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(-1)*((-1088)\/(-170))\/(-16)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -97543261298*m**2\/5 - 5300232*m\/5 - 72\/5 = 0?\nAnswer: -6\/220843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d. Let n(b) = -1. Let h be 18\/(-30) + (-4)\/10. Let y(j) = -j - 1. Let i(g) = h*n(g) + y(g). Determine v(i(r)).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -2*h - 16, -25 = -5*o + 10*h - 7*h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/5 + 2472*u**3\/5 - 4474*u**2 + 9960*u = 0.\nAnswer: -1245, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Suppose -h*k - 6 = 4. What is the least common multiple of 22 and 3 - (-4 + k\/(-2))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 - 195\/(-25). Let a = 13 - z. Let s be 2\/(-5)*a\/(-10). Put -5, 1\/7, s in ascending order.\nAnswer: -5, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:54 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 836?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 9*y - 6. Let f be x(0). Let h(j) = -2*j**2 - 11*j + 8. Let u be h(f). Solve -22 = 4*o - m, -u*o - 32 = -5*m - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*3*8\/((-80)\/50).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.105 - 2.1. Let g = -0.005042 + k. Round g to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*b**2 - 226*b**2 - 191*b**2 + (0*b - b + 3*b)*(-1 - b + 1).\nAnswer: -347*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55119)\/(-10637))\/(8\/((-32)\/6))?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.4 and 4001 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 568f + 4?\nAnswer: 5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11c3 (base 16) to base 5\nAnswer: -121142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 471563, 943127, 1414691, 1886255, 2357819, 2829383?\n\"Answer: 471564*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 + 2*w - 2*w + (1 + w - 1)*(-5 + 5 + 4*w**3).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*p**3 - 33848196*p**2 - 17901572550624*p - 4475391022144.\nAnswer: -4*(p + 1057756)**2*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 410544*h**3 + 0*h + 15*h**2 + 410508*h**3 - 324*h**4 = 0. What is h?\nAnswer: -1\/6, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2551351\/6442296 - 1631\/7422. Let v = n + -2\/217. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 4*m + 32, -a - 24*m + 40 = -19*m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 20 + 18 - 134*k**2 to the form d*k**2 + v*k + w and give d.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 9:26 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpz when three letters picked without replacement from {z: 4, p: 5, m: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27610 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tqqtqqqtqq. What is prob of sequence ttt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -625.\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1890 and 3024?\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 10:59 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*h**3 - 389*h**4 - 919*h**2 - 91*h**3 + 195*h**4 wrt h.\nAnswer: -4656*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g - 4. Let n be i(-3). Let j(h) = -5*h + n*h + h. Let x(o) = -2*o. Determine x(j(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/s**(-2\/13))\/s))**(-41) assuming s is positive.\nAnswer: s**(82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2703*r**3 + 5410*r**3 - 2702*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 5:45 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 3\/((-6)\/8). Let d(o) = 13*o**2 + 5*o - 30. Let z(x) = 7*x**2 + 3*x - 16. Let s(t) = -6*d(t) + 11*z(t). Calculate s(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 4955?\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.634 - 7.7. Let a = 0.232 + p. What is a rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.418, -2706, -4\/3?\nAnswer: 0.418","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4152374 + 7712374. What is i rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 11*r - 17. Let d be j(7). Solve -4*m - 2*f + 4 = 0, -d*f = 2*m - 0 - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3766 = -39*g + 254*g + 54*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m - 3. Let r be c(2). Suppose i - r = 3*i - w, -5*i = -4*w - 5. Let t = 8.8 - 9. Which is bigger: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875452187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 25 = 5*p, 0 = -4*p - p + 2*u - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1009425120 divided by 1110\nAnswer: -909392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25181463?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 p when four letters picked without replacement from tcptcmpttttccctmmtm.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-6)\/(-4) - -8. Solve v + 1 = 3*u, 0 = j*v + 3*v + 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -837363.509 to the nearest 100.\nAnswer: -837400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-8 - (2 + -12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-424)\/12)\/((-10)\/(-15)). Let l = i - -73. Is 12 a factor of (2 - l\/16)*84*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.1 and -20.7.\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(3\/4)*m)\/m)\/m*m*m**(-7)*m**(1\/3)\/(m\/m**5) assuming m is positive.\nAnswer: m**(1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -137295\nAnswer: 22\/45765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q - 5. Let j(x) = -323*x + 114. What is 114*d(s) + 5*j(s)?\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0327464 weeks to seconds.\nAnswer: 19805.02272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 12 = -i, 2*i - 4 = 0. Suppose f + 13 = -3*w. Let r be (4 + -2 - w) + 2. Solve -4*z = 2*k + 4, 6*k - 3*z + r = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3786 + 568. Let q = r + 16038\/5. Which is greater: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12240 - 12215. What is the lowest common multiple of 6\/(-1 - 0 - -3) and j?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p*p**(-6\/13)*(p\/(p\/(p**(-4\/9)\/p*p)))**(1\/4) assuming p is positive.\nAnswer: p**(-67\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssftppzstptztpst. What is prob of sequence tpz?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8786 = 52*d - 28654. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10)*j*j**(8\/7))\/(j*j*(j*j\/j**(-8))\/j*j*j*j**(-5)) assuming j is positive.\nAnswer: j**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 3:51 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 3. Suppose -3*m - 90 = -0*m. Let q = -22 - m. What is the units digit of f(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -19. What is the greatest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35507 is divided by 11812?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 2 + 197*b**2 - 4 + 21*b**2 - 5*b. Let u(p) = -2*p**2. Give y(u(i)).\nAnswer: 872*i**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3\/35, 0.3 in descending order.\nAnswer: 2\/5, 0.3, -3\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16911 and 0.3.\nAnswer: 16911.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -214.1195 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 1\/143, -3?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1707c?\nAnswer: 17079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = n - 95, b + n - 5*n - 28 = 0. Let w(t) = 7*t. Let i be w(-2). Let o = i + b. Is 9 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29064 and 1384.\nAnswer: 29064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(720) + 2) + 4 + sqrt(720) + -2).\nAnswer: 12 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 12 + 13 = 0. Suppose u*m - 43 = -3. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499 (base 12) to base 14.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i + 3. What is the remainder when 23 is divided by w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 1445 - d**2 + 1415 - 2788)*(2*d + 3 - 3).\nAnswer: -2*d**3 + 2*d**2 + 144*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 28 = -d, -o - 3 = 4*d + 5. Suppose 4*s - u - 7 = 0, o*s = 5*s - 4*u + 10. Solve s*a = -a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12176 - 12173. Let c = 155\/21 + -40\/7. Which is greater: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 20*x + 1. What is o(-8)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -n + 21. Suppose 9*j + 30 = n*j. Solve 0 = -3*v - j, 8 = -z + 3*z - 2*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w**3 - 16*w**2 + 56*w - 112. Let j(a) = -3*a**3 + 5*a**2 - 19*a + 37. Let z(x) = -16*j(x) - 5*q(x). Suppose z(r) = 0. What is r?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410778 by 136926.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 73?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 9, 0 = -5*q - u + 7. Let j = -0.2 + 0.2. Let s = j - -1. Put 5, s, q in descending order.\nAnswer: 5, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - k = -274, -5*k - 73 - 177 = -b. Let c = 416 - b. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:21 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/((-1775)\/426)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*v**2 - 7*v**2 + 7*v**2)*(3 - 6 - 6 + (3 - 3 - 2)*(-2 + 2 - 2)) in the form h*v + c + s*v**2 and give s.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/18 and 151\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207, -379, -551?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**3 + 3*q - 4. Let o(i) = -16*i**3 + i**2 - 12*i + 13. Let a(h) = 7*b(h) + 2*o(h). Let y(t) = t**3 + t**2 - t. Calculate a(p) - 3*y(p).\nAnswer: 7*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2419 is divided by 806.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/21, -7, -2\/4743, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 431166633 a multiple of 901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -97, 6150.\nAnswer: -97, -1, 5, 6150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 26. Let z be ((-9)\/15)\/(4 - k). What is the second smallest value in -4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 223. Suppose 4*l - 166 = p*v - 4*v, -l + 5*v + 25 = 0. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 8. Suppose 3*g - 11 = l. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48754 and 494.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322509?\nAnswer: 3, 11, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 240132.\nAnswer: 2641452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 128.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 2505.\nAnswer: 12525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(21)\/(sqrt(7) + sqrt(252) + sqrt(7)) + sqrt(33)\/(sqrt(11)*-2).\nAnswer: -3*sqrt(3)\/8 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16228 + 2370.\nAnswer: 2370.16228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -804 + 2066b?\nAnswer: 1ba67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483497250.\nAnswer: 2, 3, 5, 73, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 620, -1, -3, -4\/5, -1\/8 in descending order.\nAnswer: 620, -1\/8, -4\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/3)*s*s*s\/(s\/(s\/(s\/s**(-5)))*s)*((s\/(s**(2\/9)\/s))\/s)\/(s\/s**(-1\/3)) assuming s is positive.\nAnswer: s**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 7972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5241308?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 - 305 = -11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**7 + 205*y**6\/2 - 188*y**3\/3 - 16117. What is the third derivative of i(v) wrt v?\nAnswer: 840*v**3 + 36900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8454948407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 0.3, -76, -4 in descending order.\nAnswer: 72, 0.3, -4, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 5991*a**3 + 4459 + 4468 - 8928 to the form s*a**3 + x*a**2 + k*a + r and give s.\nAnswer: -5991","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 121334672 and -1422?\nAnswer: 121336094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*k = -10, -8 = 2*x - 5*k - 0*k. Let y(p) = -p**2 - p + 1. Let h be y(3). Let r = x - h. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = b - 0*b. What is the remainder when (108\/(-90))\/((-2)\/10) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*t - 95*t**2 - 70*t + 38*t in the form f*t**2 + n + u*t and give f.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k + 0*k - 15*k - 6*k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*a + 376*a + 325*a.\nAnswer: 895*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3 - 6950*p + 5 + 6950*p - 2*p**2 - 4. Let g(c) = -1. Calculate -2*g(m) - w(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 184*p + 4 - 51 + 1151 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-4*d + 10*d + d)*(-2 + d**3 + 2).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1647 + -0.9647. What is the nearest to 0.08 in k, 5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 10) in base 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/681756788 or 0?\nAnswer: 1\/681756788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 23*j**3\/3 - j**2 - 229*j - 230. What is the derivative of y(l) wrt l?\nAnswer: 46*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*g**2 + 25*g**2 - 1 + 1.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/11 - 9008*k\/11 + 4920 = 0. Calculate k.\nAnswer: -4510, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -126 + 20069?\nAnswer: 19943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-6)*(-8)\/4*-1)\/(-2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-3 - -1) + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 + 6 - w**2.\nAnswer: -w**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + -37 + 29 + 2 + -6.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1 - (-2 + 4). List the prime factors of (4\/f)\/((-4)\/46).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 26*u = 889939. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 2\/11 (c) 4992 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39*c - 1872. Let g(q) = 3*q + 144. Let z(s) = 27*g(s) + 2*p(s). Let r be z(-46). Solve 0 = -x - 5 + r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 11*x - 4. Let g(h) be the first derivative of -2*h**3 - 5*h**2 - 5*h + 19. Let i(r) = -4*g(r) + 3*q(r). Is 14 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207 - 191. What is the remainder when 254 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g - 15 = 0. Let f = 6 + g. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*w - 742*w = -1512 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 27194525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*f = 4, 0 = -2*y + f + 3*f + 20. What is the hundreds digit of 3 + 991 + y + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203073 - -54166. Round b to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a milligram in micrograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:33 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1030 + 3?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + -3 + -1*(((5 + -1*sqrt(1573) - sqrt(1573)) + ((sqrt(1573) - (sqrt(1573) + -2)) + 3 - sqrt(1573)) + sqrt(1573))**2 + 0).\nAnswer: -6398 + 440*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/25))**(-2)\/(j**(-6\/17)*j\/(j**(1\/8)*j)) assuming j is positive.\nAnswer: j**(-4631\/3400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 267115?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 5)*(-51 - 1 + 6 + p).\nAnswer: 3*p - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y + 13. Let h be f(4). Suppose c + 23 = -k, 0*c = c. Let w = k - h. Solve w*m = 2*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.5 (c) 0.3 (d) 3\/8 (e) -80 (f) 1\/5 (g) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17 - -0.291\nAnswer: 17.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/11*a**3 - 9720\/11 + 3312\/11*a - 294\/11*a**2 = 0. What is a?\nAnswer: 6, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51912 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 413 - 603. Let v = c + 190.0000252. What is v rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22726395 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - 131?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:02 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = 2*i + 90, 188 = -2*y + 4*i. List the prime factors of (y + 0)*(-4)\/16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 318*z**2 - 57*z**2 + 356*z**2 + 36*z**2 + 379*z**2 in the form r*z + f*z**2 + m and give f.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 7*l**2 + l + 5. Give d(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/(-30)*(-4080)\/(-1428)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*x = -2*x - 15, u - 14 = -x. Suppose -a - 2*p + 10 = -3*a, 0 = 4*p - 12. Let b(l) = -3*l + 1. What is the remainder when u is divided by b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 times 0.015\nAnswer: 1.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n**3 + 2*n**2 + n - 7. Let v(a) = -20*a**3 + 6*a**2 + 3*a - 20. Let r(x) = -8*c(x) + 3*v(x). Is r(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-22))\/(23\/92)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10681194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f - 59. Determine l(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1415 - -1417. Which is the third biggest value? (a) 0.1 (b) s (c) 3 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 - 30 = 0. Suppose -3 + g = 3*d. Find the third derivative of 2*c**2 - c**2 + 2*c**d - 5*c**3 + c**2 wrt c.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x**2 - 10. Let n(j) = -8*j**2 + 7*j. Calculate n(d(s)).\nAnswer: -1800*s**4 - 2505*s**2 - 870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152804.\nAnswer: 2, 38201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znzznnnznnznzl. Give prob of picking 2 z and 1 l.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4 - 52*x**3 - 408*x**2 - 812*x + 1274 = 0.\nAnswer: -13, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -111636 <= -111621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*d + 5 = -3*d, -2*g - 3*d - 3 = 0. Solve -5*s + 2*h = -26, g = 6*s - 7*s + 2*h + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Is 103244861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*s - 25, -p - 2*s = 2 + 1. Solve p*q + 4*d = 8, -q + 2*q + 5*d = 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-5)\/14)\/((-50)\/120*6).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (2 + 6 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(((-6)\/(-2))\/(-3)). Let d = n - -49. Let f be (-4)\/(-2)*1 - -11. Calculate the greatest common divisor of f and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 10*p**2 + 2*p - 10.\nAnswer: -2*(p - 5)*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 17*o**3 - 4*o**2 - 62*o**3.\nAnswer: -45*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 989, 7858, 26509, 62834, 122725, 212074, 336773?\n\"Answer: 982*l**3 - l**2 - 2*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54 + -3010001?\nAnswer: -3010055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a. Let q(h) = h. Let i(c) = -3*q(c) + s(c). Let u = 695 + -699. Let y(n) = 6*n**2 - 4*n. Calculate u*i(p) + y(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -2*l + 26, -202*l + 205*l - 3*h = 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*s + 24, 37*z - 33*z = -5*s - 29. Which is the second biggest value? (a) z (b) 1\/8 (c) -2\/13 (d) -3\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3070 + 7*f**2 + 2030 - 4628 - 5*f + 5*f.\nAnswer: 7*f**2 - 5668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*176.\nAnswer: 12848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -20. Suppose 0 = 4*w - 0*w + 5*j - s, -5*w - j + 55 = 0. Let m(l) = 0*l**3 - w + 7*l**2 - l**3 + 4 - 4*l. Determine m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:12 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25\/4 + -11\/4. Sort 0.3, 1, -2, s.\nAnswer: -2, 0.3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5844840*k*x**3 + 91*k*x**2 - 56*k*x - 5*k + x**2 wrt x?\nAnswer: -35069040*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -2\/5*k**4 + 0 - 1\/10*k**5 + 76*k - 3\/5*k**3 - 2\/5*k**2. Find o, given that z(o) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -58. Let l(n) = -5. Let y(x) = -x. Let o(a) = j*l(a) - y(a). Determine o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12490, 12495, 12504, 12517?\n\"Answer: 2*j**2 - j + 12489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x. Let h be l(1). Suppose -3*v = -t + 2*t - h, 5*t = 3*v + 7. Calculate the greatest common factor of 18 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -4)\/3 + 3. Suppose 3*q = -n + 60, -o*q + 0*n = 5*n - 80. Calculate the remainder when 38 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/74 and 69\/814.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 19 = -3. Let o(w) = -w - 8. Let c be o(h). Suppose 15 = c*z - 0*z. Solve -10 = -z*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*g - 7, 5*z + 1 = -5*g + 6. Let p be z\/(-3*4\/(-36)). Let h be 0*(p\/6 + 1). Solve 0 = -o - h - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -2\/3 (b) -2 (c) -8\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (41\/(-9) - -5 - ((-4774)\/(-1089))\/7)\/1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 3*f + 2. Let o = 5 - 7. Let c be i(o). Let s be (-4)\/(-2 - (-3)\/1). Put 0, s, c in descending order.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/48*(-168)\/(-1050).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.008 and 0.512?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18164074 and 362?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3\/3 - s**2\/2 - 4*s + 2. Let f be g(3). Factor -n**3 - 1 + n**2 - f*n**3 + 4*n**3 - n.\nAnswer: (n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 3*x**2 - 1304*x + 1. What is m(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 20 = 5*i - 18, -4*g = 5*i - 22. Solve 2*w + i = 4*p - 8, 3*p = -3*w - 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(sqrt(700) + -1*sqrt(700))**2 + (-1*2*sqrt(700))**2 + 3*(1 + sqrt(700))**2*1*-4.\nAnswer: -5610 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 2*k - k, 0 = 3*k - 9. Let i(y) = 4*y**b - 14*y**2 + y**2 + 11 + 8. Let m(j) = -5*j**2 + 10. Give -6*i(c) + 11*m(c).\nAnswer: -c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -2546?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 6280 and 6277 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -21*d + d**3 - 4 - d - 12 + 20*d**2. Let a be i(-21). Suppose a*u + 4*j - 4143 = 3044, -u = -3*j - 1445. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110011001011001 (base 2) to base 6\nAnswer: -1133001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 2. Let t be g(9). Let l(n) = -22*n - 9. Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 + 14054*t**3\/3 + 2045074*t**2 + 694986146*t\/3 + 688864976\/3 = 0. Calculate t.\nAnswer: -6568, -229, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 9308.502 hours?\nAnswer: 55.40775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 98\/(-10)*35\/1232 and 17\/9.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 18 + 20 + 17*s)*(s - s - 2*s).\nAnswer: -34*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -5\/6, 15.16?\nAnswer: 15.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t. Let u(d) = -3*d + 244. What is u(g(r))?\nAnswer: -18*r + 244","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - w**2 - 3*w - 9. Determine r(4).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1045 = -4*y, 3*d + 468 = 4*y - 607. Let n = y + -263. Solve 5 = 2*m + g, n*m - 2*g + 0 + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 15. Suppose -m = 3*t - 9. Let h = -1982 - -1987. Solve y - 2*i - 2 = -y, -3*y + t*i + h = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x + 7. Let p(a) be the first derivative of -a**2 + 4*a + 10. Let c(k) = -k**3 - 3*k**2 + 2*k + 3. Let o be c(-2). Determine o*p(w) + 3*m(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72373.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 148*y + 4388. Calculate the remainder when v(-117) is divided by 105.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 8. Suppose 4*c - 11 - 5 = 0, -l + 23 = 5*c. Let h be (11 - -1)\/(18\/(-12)). Let b(z) = -2*z**2 - 3. Calculate h*b(a) + l*m(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/66*-2). Let h(n) = -n**3 - 2*n**2 + n + 9. Let f be h(4). Let o = -72 - f. Calculate the highest common factor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + (-4)\/(-10). Let b = -4 + 6. Do b and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1098920 (base 10) to base 3\nAnswer: 2001211102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230430 divided by -115215.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (0 + 1))\/((-6)\/(-26)). Solve 6*p - 14 = -c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/140)\/(((-32)\/(-378))\/(-16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 140064995 divided by 73835\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-28) - (113\/(-7) - -1). Let a be (v\/(-25))\/((-1710)\/100). What is the third biggest value in a, -3\/2, 1\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/4136 and 13\/2640.\nAnswer: 124080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 5*r**2 + 3*r. Let b(a) = a**2 - a. Suppose 3*u = 9, -6*h = -3*h + 4*u - 132. Let v be h\/15 + (-1)\/(-3). What is v*b(i) + c(i)?\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -10. Let m = -5 - -3. Let n be m + 6 - (0 + 0). Let f(i) = 3*i**3 - 4*i**2 + 4. Let o(k) = -7*k**3 + 9*k**2 - 9. Determine n*o(h) + y*f(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -2, -5, -3, -1\/12, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3628*g + 3605*g + 3601*g - 10825*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 13, 9, 5, 2 in descending order.\nAnswer: 117, 13, 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/8)\/(-5)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -18*f - 58, 0 = -5*f - 5*a - 2355 + 2330 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15132 - 545?\nAnswer: -20121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 22 = a, -a - w = 2*a - 56. What is the second derivative of 3 - 5 - 16*x**3 + a*x + 2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(117) - 1*sqrt(117)*-6) + sqrt(117) + sqrt(117)*2 + 4)*-2*-4)**2.\nAnswer: 552960*sqrt(13) + 26993664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l. Let j(k) = -9*k**2 - 16*k - 14. Let u(s) = 26*s**2 + 44*s + 48. Let m(w) = -11*j(w) - 4*u(w). What is h(m(n))?\nAnswer: -10*n**2 - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4913 a factor of 14788130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 7 = 2*y, -6 = -m - 5*y + 11. Which is the third biggest value? (a) -4 (b) m (c) 0.5 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7150021350 and 0.261.\nAnswer: 7150021350.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tjttttjt. Give prob of sequence tjtt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 smaller than 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 137*c**2 + 4387*c\/4 + 6.\nAnswer: (c + 8)*(548*c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 201, 205, 217, 237, 265, 301, 345?\n\"Answer: 4*k**2 - 8*k + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6847? (a) 1\/2 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3. Let r be j(3). Suppose -1 = 4*t + 5*f, 3*t = -0*t - 2*f - r. Let z(a) = -a - 1. List the prime factors of z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2651?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mckc when four letters picked without replacement from {k: 3, c: 9, m: 4}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -697.584365 rounded to 2 dps?\nAnswer: -697.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -103, -155?\n\"Answer: -52*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = -14539 + 123387. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-102))\/((-1)\/(-2)). Let y(g) = -g**3 + 5*g**2 - 4*g. Let z(q) = -q**3 - 7*q**2 + 4. Let k be z(-7). Let p be y(k). Which is smaller: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 - 421*b + 1831. What is p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 371581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -530 + 530 + 30*y**3 + (1 - 2 + 0)*(3*y**2 - 3*y**2 - y**3).\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 16874 - 23229 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 - 5*p**2 + 10*p**2 + 0*p**3 - 2*p**3 + p**3 - 7*p. Give z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601224?\nAnswer: 2, 3, 13, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 438592 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -48. Let n be l\/(-7) - 2\/7. Is 1\/(-5) - (-252)\/n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -119, -8, 0.1, -9, -1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 + 202361*f**2\/6 + 25295*f\/3.\nAnswer: f*(f + 50590)*(4*f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1065200 + -710594.\nAnswer: -1775794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18177*g*v**3 + 117*g*v**2 + 2*g + 11950167*v**3 wrt g?\nAnswer: -18177*v**3 + 117*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186323 and -0.4.\nAnswer: 74529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25*(2 + (2 - -2))\/10. Calculate the remainder when 57 is divided by (-6)\/i - ((-1323)\/15)\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 5. Let n(c) = 5*c**2. Determine n(f(j)).\nAnswer: 45*j**2 - 150*j + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 136?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 3, w: 1, x: 1, f: 1, k: 5}. What is prob of sequence fs?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:45 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 12*i**2 + 11*i + 4. Let b be s(-13). Let n be (b\/12)\/((-4)\/(-152)). Let u = n - -24. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -3 + -1 - -7) + -19 + 27.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 413086262*s**3*v - 650*s**2*v - 400*v + 31 wrt s?\nAnswer: 2478517572*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m**3 + m**2. Calculate the remainder when a(-1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202854115.\nAnswer: 5, 17, 47, 50777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 418 + -423 + (8 + 1 - 2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4069*o - 2 - 4159*o + 8367*o.\nAnswer: 139*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 87*a + 87 - 199*a + 143 - 66 - 53*a + a**2 = 0.\nAnswer: 1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -331025, -329175, -327325, -325475?\nAnswer: -323625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87383 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 36. Suppose 226*f**3 - b - 2*f + 4*f**2 - 224*f**3 - 1 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 15 (c) -1\/2 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -105. Let y = 128 + a. Let m = -48 + 69. What is the greatest common factor of m and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = w - 3*k - 8, 0 = 5*w + 5*k. Suppose 0 = -w*u + 320 - 52. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.485 + -0.025. Let y = l - -4.54. Let x be 1 + 0 + 0 + -1. What is the smallest value in 1, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073790 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17635157 and -0.027.\nAnswer: 476149.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13740240 - 6?\nAnswer: -13740246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puooupoooovopeppy. What is prob of picking 1 v and 1 o?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 10*x**2 - 12*x - 15. Let k be y(12). Suppose -38 = -5*m + 5*c + 97, 0 = -5*m - c + k. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 605 and 496571332814.\nAnswer: 496571333419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -5612*n + 5726*n - 1223 + 236 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7464768 a multiple of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -21, -51, -95, -153, -225, -311?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (50 - 36) - (-14 - (-9 - -2) - 60).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12532 is divided by 464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 0 - 3*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 20*f**2 + 14*f - 26. Let d be h(-11). Let s = d - -173. What are the prime factors of s?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -21 - (6 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 30. Let p = -22.5 + 22. Which is the second biggest value? (a) -5 (b) s (c) -3\/7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1321316 divided by 3\nAnswer: 1321316\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*h - 5*h**3 + 9*h**2 + 7 + 64*h - 47*h - 4 in the form x*h**3 + g*h**2 + b + u*h and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 + 12.88. Let t = o + -5.98. Which is the smallest value? (a) -2\/59 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 29.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 p when three letters picked without replacement from {n: 9, p: 7}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -54. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558070 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.72927 * -54\nAnswer: 201.38058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 32*r - 279. Let v(t) = 13*t**2 + 8*t - 17. What is the tens digit of v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 441, 465, 491, 519, 549?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1121 + 2232 - 1111 - 18*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 583159175 to the power of 1\/2, to the nearest integer?\nAnswer: 24149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k = 3*d - 21, 0 = d - 4. Let p = 8 - k. What is the nearest to 0.1 in 0.3, -2\/5, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*-9*46\/(-621)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962*j = 783*j + 132639. Calculate the remainder when j is divided by 222.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -5 (c) -60 (d) 3\/2 (e) -3 (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 40. Solve 4 - n = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcr when three letters picked without replacement from cedddddddddbdrzd.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*i - 6*i. Find z, given that -5 + 11*z + 4*z**2 - 9*z + i*z + 21 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - l + 2*l - 35)*(2*l - l - 3*l).\nAnswer: -2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -0.32 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 - (8\/14)\/((-7)\/(-49)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7553370 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a369 + -616?\nAnswer: -a984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76179671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -1\/22 (c) -1\/2 (d) -35 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {z: 1, o: 3, m: 3, g: 3, d: 3, u: 5}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.52, 5?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13587312 by 464.\nAnswer: 29283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 28 = 4*w, 688 - 695 = -3*w - 4*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 8*o**3 + 4*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(0*c + 3*c - 6*c) + 69*c + 150*c - 103*c.\nAnswer: 113*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(85)\/sqrt(5)*5*-4.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, -4, -76162 in decreasing order.\nAnswer: 4, 2, -4, -5, -76162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6171774 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrg when three letters picked without replacement from {g: 4, r: 10}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 415265.1 decades?\nAnswer: 41526.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2393 - 1046. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 6. Let t(u) = 2*u**2 + 33*u - 120. Let w(j) = -j**2 - 18*j + 65. Let d(l) = -6*t(l) - 11*w(l). Let x = 5 - 11. Determine x*d(o) + 5*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 605 and 1695.844?\nAnswer: 1090.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from dfidiidii?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 (base 9) in base 7?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171510784?\nAnswer: 2, 167491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -344 != -1719\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5\/11 + 12*u**4\/11 + 4*u**3\/11 - 24*u**2\/11 - 2*u\/11 + 12\/11 = 0. What is u?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-440)\/(-642) - 5152\/7728?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -42, -162, -364, -648, -1014, -1462?\n\"Answer: -41*w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 25 = -7. Let y = l - -2. List the prime factors of ((-582)\/(-15))\/(y\/(-60)*3).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1374241836 + 3.\nAnswer: -1374241833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 - 71. Let k = 94 - m. Which is greater: k or -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/5969 and -131\/2256?\nAnswer: 286512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -156*f - 6830. Give c(-50).\nAnswer: 970","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 13174 - 13183 = 5*x, 4*x = 3*g - 16. Which is greater: 54\/199 or x?\nAnswer: 54\/199","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -244 - -249. Find the third derivative of -1692*t**2 + a*t + 572*t**2 + 566*t**2 + 565*t**2 - 173*t**3 wrt t.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 181 + 154 - 2 + 1 + 3 + (-2 - 1 + 1)*(0 + 0 - 2))*(5*v - 2*v - v)*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: -824*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 9 = 4*q. Let y = 28 + -27. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/13)\/((m\/(m\/(m\/(m\/(((m*m**(4\/13))\/m)\/m)))))\/m))\/(m**(-4\/5)*m)**(-4) assuming m is positive.\nAnswer: m**(157\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1070 and -95\/13696.\nAnswer: 68480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26532 - 10172 = -1184*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 541, 542, 545, 550, 557, 566, 577?\n\"Answer: g**2 - 2*g + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 21*r**2 - 21*r + 18. Let l(w) = 243*w + 7310. Let x be l(-30). Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*m - 7, z - m - 2 = -3*m. Suppose 18 = 5*w - 4*w. Calculate the lowest common multiple of w and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-7) + -1 - 0\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/1784*6\/(-27). Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 - 273*b**3 - 22254*b wrt b.\nAnswer: 72*b**2 - 1638*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -27, -29, -31, -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 11*y + 19 = -4*m, -3*y + 24 = -9*m. Suppose 5*k - 4*i = -i - 18, 0 = 2*i - 2. Let z be 1*k\/m + 3 + -2. Solve -u - 3 + z = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/7 + 144*o**4\/7 + 3546*o**3\/7 + 32212*o**2\/7 + 37752*o\/7 - 73008 = 0. What is o?\nAnswer: -26, -14, -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2*f = -2*m - 46, -4*f = m + 6. Let l be 63\/18*8\/m. Let o(k) = -k**2 + 2*k. What is o(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54\/17, -0.11, 1\/2, -17, -2\/11 in decreasing order.\nAnswer: 54\/17, 1\/2, -0.11, -2\/11, -17","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 20*p - 17. Let s = -22 + 29. Suppose -s + 3 = -k. What is the units digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/(-3) + (-5 - -1). Suppose -g - z = -2*g + 4*l, 2*l + 32 = 2*g. Suppose -3*s = g, 2*s - 99 - 10 = -3*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/24)\/((-5)\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1. Let n = -21 - -16. Let p(a) = -a + 5. Determine n*m(t) + p(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 31*x**2 + 38*x - 78. Let r be j(30). Suppose -135*l = -137*l + r. Calculate the highest common factor of l and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -68. Suppose -63*x + t*x = -621. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-390)\/(-72) - 2\/(-3) and 79\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535579635 to the power of 1\/2, to the nearest integer?\nAnswer: 39186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:10 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -548 - -2620. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 2249 = -2*j + 20*y, j - 1118 = 4*y. What are the prime factors of j?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - s**3 + (4*s - 4*s + 3*s)*(4*s - s**2 - 4*s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.056 and 49.\nAnswer: 2.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(190) + (sqrt(190) - sqrt(190)*3)) - (3*sqrt(190) - sqrt(190) - sqrt(190))*6)\/(-4*3*sqrt(60)\/(sqrt(6)*-2)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86482176 divided by 1351284.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - 30?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7912 is divided by 2546.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/176 and 97\/17374808.\nAnswer: 34749616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 854741716.5 minus -0.28?\nAnswer: 854741716.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8.2. What is the nearest to 1\/2 in -1\/8, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 7) to base 13\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*b - 4*r, -2*b + r + 7 = -4. Suppose 5*c - 17 = b. Solve 9*x = 4*x + 5*v - 5, c*x + 14 = -4*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 6*c**2 + 4*c - 3. Let x be b(-5). Suppose a + 0*f + 4 = -4*f, 0 = x*a - 3*f - 14. Solve 4 = -a*t - 8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*t + 152*t - 264*t - 93*t.\nAnswer: -703*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 2, w: 6, h: 2, p: 1, s: 3}. What is prob of sequence js?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose 0*r - l*r = -52. Calculate the remainder when r is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -124f2ee0 + 0?\nAnswer: -124f2ee0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let w(l) = 36*l. Let m(p) = -110*p + 464. Let c be m(4). Determine c*d(h) + w(h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/3 - 4277*d**2\/3 + 12838*d\/3 - 8560\/3 = 0?\nAnswer: -4280, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*v**2 - 3360*v + 3360*v - 5*v**2 - 785 + 5*v + 785 + (1 + 2*v - 1)*(-2*v - v + 4*v) as q*v**2 + p*v + l and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 15*x**2)*(-1 + 6 - 1)*(-1 - 2 - 1) as q + j*x + u*x**2 and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - k**3 - 5*k + 5*k**2 - 5*k**2 + (-3 - 1 + 3)*(5*k**3 + 2*k**3 - 5*k**3).\nAnswer: -3*k**3 - 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242 is divided by 441?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26259617 - -38319617. What is l rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*3\/(186\/14). Suppose -3*i + 2*d + 6 = 0, 3*i - d - 3*d - 12 = 0. Does y = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f**3 + 2*f**2 - 6. Let a be l(-3). Calculate the greatest common divisor of 63 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*f**2 - 489*f**2 + 158*f**2 - 181370*f**3 + 174*f**2.\nAnswer: -181370*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 10*n + 10. Calculate b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*w + b - w**4 - 9290571*w**3 + 2534490 wrt w?\nAnswer: -2*b - 4*w**3 - 27871713*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -308 + 314. Suppose -22*h - z = -23*h. Let j(r) = 2*r - 7. Let d be j(5). Solve -d*u + h = -2*b + 2*u, 3*u + 3 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*d + 2*c, 4*c - 18 + 8 = d. Suppose 51 = 5*f + d. Solve 0 = 3*w - 0*w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + 6. Calculate the remainder when (8 - 12)\/((-1)\/34*4) is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4080\/210 - 19)*378\/3564?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**6\/3 - 12*w**5\/5 + 6*w**4 - 16*w**3\/3 + 13. Factor q(m).\nAnswer: 2*m**2*(m - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + l**3 + 3 - 2*l**5 + (6*l**2 + 362 - 362)*(-3 + l**3 + 3) - l**5 - 2*l + 2*l.\nAnswer: 3*l**5 + l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -140273?\nAnswer: -140273.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 10*o + 84. Let u be l(23). Let y = u - -300. What is the greatest common divisor of 17 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c**12*c)))\/(c\/(c**(2\/3)\/c)))\/(c**5\/c**(-12)) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k + 4. Let p(b) = b**3 - 5*b**2 - 7*b - 5. Let u be p(6). Let g = 6 + u. What is the biggest value in k, g, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppppkp. What is prob of picking 1 k and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -966701.08 - 23.704.\nAnswer: -966724.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 105. Suppose 0 = 3*z + u*z - 150. Solve 0*t - 3*t - 3*h - 9 = 0, t + 5*h = -z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27563 times -0.5?\nAnswer: 13781.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxxxzz. What is prob of picking 2 z and 1 x?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 2*c - 4227. Let x(f) = 2*f. Determine q(x(t)).\nAnswer: 4*t**2 + 4*t - 4227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*c = 20, 169*f = 164*f + c + 29 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 108655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 3*a = 650. Suppose -3*y = -15, 0*y = -5*m + 3*y + a. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*d - 2*z = -13, -3*d = z - 19 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*i - 5 + 49. What is the third derivative of -5*o + 133*o**3 - 5*o - 10*o**2 + o**i + 3*o + 9*o wrt o?\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 + 16*a - 16. Let p(f) = -3*f**2 - 3*f. Let o be p(-2). Let y be (o\/(-4))\/(8\/(-80)). Is d(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -49. Suppose 5*b = 3*x - 18 + 54, -5*b - o*x + 60 = 0. Suppose -10073 = -3*k + 5*w, 1 = 2*w + b. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 7 - 3)*(3*d - 5*d + 3*d + 0 + d + 0 + (1 - 1 - 3*d)*(-4 + 0 + 3)).\nAnswer: -140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129 + -47. List the prime factors of o.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*f - 4*y, 44 = 4*f - y - 3*y. Let g(c) = 15*c**2 + 3*c + 10. Let o(b) = 7*b**2 + b + 5. Let n(v) = -6*g(v) + 13*o(v). Is n(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1332133 - -303?\nAnswer: 1333102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1314124031 (base 5) to base 16\nAnswer: -31e774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 - 78*g**3*n**2 + 212*g*n**2 - n**2 + 2 wrt g?\nAnswer: -12*g**2 - 468*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 8*h - 5. Let q be x(7). Suppose 3*v + 30 = 5*j - 2, -8 = q*v. Let a(r) = 2*r**2 - 3*r - 6. List the prime factors of a(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*u**2 - 2*b**2*u + 11846*b**2 + b + 2*u**2 + 13*u wrt u?\nAnswer: -2*b**2*u - 2*b**2 + 4*u + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -301868, -301831, -301796, -301763, -301732, -301703?\n\"Answer: -s**2 + 40*s - 301907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1360672679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366800, -733611, -1100422, -1467233, -1834044?\nAnswer: -2200855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -1 (c) 3 (d) 0.2 (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2208 - 210d?\nAnswer: -4317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let x = -13 + 18. Let j(l) = 1 - x + 4 - l**2. What is j(b(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3))**(2\/11)\/(z**12\/z*z\/(z\/(z**(3\/13)\/z)*z)))**(-4\/29) assuming z is positive.\nAnswer: z**(5592\/4147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338\/3 + 52\/3*j + 2\/3*j**2 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 710 + 658. Let p be 4\/(-3) - -2 - w\/27. Solve x = 3 - 1, -4*v = -3*x + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22649, -25385, -28121?\n\"Answer: -2736*v - 19913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 42. Suppose 5*y + 0*y - g = -o, -5*o = -2*y - 7. Suppose l = -4*j + 11, o*l + 2*l - 103 = 4*j. Calculate the greatest common factor of 133 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(10\/(-200)). Let t = 115 - 5. What is the highest common factor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1617 - 1619. Put n, -10, -3, 3 in increasing order.\nAnswer: -10, -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011103903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54\/7, 0.3, 2, 0 in decreasing order.\nAnswer: 54\/7, 2, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4 - 1728*j**3 + 47666*j**2 - 397992*j + 1047816 = 0.\nAnswer: -891, 6, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 + 8*x - 4. Let c(y) = 3*y - 9. Let t be c(5). What is the remainder when 22 is divided by p(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -2*s**3\/3 - 8. Let l be (-2)\/4*(1 - 1). Let k(h) = 2*h + 0 + l. What is k(t(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 5*o - 5. Let x(b) = 5*b**2 + 5*b + 3. Let v(j) = 2*c(j) + 3*x(j). Let f(a) = -16*a**2 - 16*a + 4. Give 2*f(n) + 7*v(n).\nAnswer: 3*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.63 - -0.43. Let c = v + 22.2. What is the third smallest value in 1, -0.123, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99330 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + 0.3. Let r = l - 0.8. What is the closest to r in 0.5, -3\/7, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = f + 1571, -2098 = -4*q - 3*f + 5*f. List the prime factors of q.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a - 13. Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(100\/11 + -9). Suppose -186 = -b*n + 243. Let g(y) = y**2 - 4*y + 1. Let t be g(5). Solve -z + n = 2*d, -4*d + t*d = 3*z + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -2 - -3)\/((-10)\/40). Let o(n) = 4*n + 6. Let f(l) = 5*l + 8. Let j(v) = s*o(v) + 3*f(v). Let w(r) = -244*r. Give w(j(c)).\nAnswer: 244*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 0.45, 2\/91?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -4. Suppose -3*a = -y - 2. Suppose 0 = -a*p + p + 32. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b = 282703, 135310 + 147417 = m + 3*b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 39 + 26 = 0. Let v be (-4)\/(-22) + f\/(-119). Let w = 1\/187 - v. Which is the second smallest value? (a) 3 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3.17, -0.16, 9, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 16161?\nAnswer: 96966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*f**4 - 63*f**4 + 129*f**4 + 11*f**3 + 2*f**2 to m + u*f + c*f**4 + j*f**2 + q*f**3 and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*q + 179*q = 36 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*i + 179*i = -67 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, -4 in ascending order.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*(sqrt(80) + -1 - sqrt(80)) + -2*sqrt(80)*-6))**2.\nAnswer: -13824*sqrt(5) + 415296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v - 18. Calculate the remainder when 148 is divided by q(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let h(y) be the first derivative of 1\/12*y**4 + 1 + 0*y**2 + 0*y**3 - 5*y. Let g(p) be the first derivative of h(p). Determine g(b(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5552132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -467 + 483. Factor -c*w + 4*w**3 - 9 - 5*w**2 - w**2 - 4 + 5 + 2*w**4.\nAnswer: 2*(w - 2)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-four fifths of a decade?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 63. Let w(c) = c - 126. Let q(n) = 5*h(n) - 3*w(n). Let y be q(9). Suppose -2*m = -y - 175. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y + 1392. What are the prime factors of s(-98)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 994920 divided by 99492.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*v**2 + 19*v**2 - 11*v**2)*(2 - 1 + 1)*(-3 + 3 + 1).\nAnswer: 70*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 536*i**2 + 5*i + 2. Let l(r) = -179*r**2 - 2*r - 1. Let n(b) = -6*g(b) - 17*l(b). Let c be n(5). Round c to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.609022ug to milligrams.\nAnswer: 0.001609022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-50))\/((-79)\/395))\/((-3498)\/110).\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 233728.\nAnswer: 3505920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*p**4 - 24*p**4 + 0*p**4)*(1 + 3 - 3) in the form l*p**2 + j + g*p**4 + z*p**3 + x*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48763 - 48765. Which is the fifth biggest value? (a) 1\/11 (b) 5.9 (c) 0.2 (d) -4\/9 (e) z\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -787.999337 + 788. What is s rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*-4*8\/128. Solve -k = -4*g + 3*n, 3*n - 12 = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 9:58 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1428*d**3 - 2854*d**3 - 66*d**2 + 1415*d**3.\nAnswer: -11*d**3 - 66*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 442?\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 6*a**2 + 13*a + 34. Give d(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 11\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*b - 8, -3*s + 8 = -0*s + 4*b. Suppose 5*g = -3*m + 34, -m - g + 7 + 1 = 0. Let n be -25*-6*m\/30. Solve 4*l + l - n = s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 8. Let l be h(-3). Solve -l*q + q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 4*y**2 - 2*y - 11. Determine u(3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 253?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f + 24. Let j be 10\/f + 9\/6. What is the second smallest value in -4, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5008*y - 104*y**3 - 5008*y - 170*y**3.\nAnswer: -274*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/((-2)\/(-820)*5) + -3 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 13. Let c(y) = 2 + y**3 - 10*y**2 + 227*y - 227*y. What is the remainder when c(o) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -311*i**2. Let w(n) = 2609*n**2. Calculate y(w(u)).\nAnswer: -2116939991*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + 2 + 4*k - 4)*(533 + 212 + 680) in the form z + p*k and give z.\nAnswer: -2850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 7)*(-24 + 115 + 8)*(2*g - 4*g + 3*g) as w + o*g and give o.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(-140)*(-3 - 0)\/(-3). Let r = 8 + -15. Let h be ((-2)\/(-8))\/(r\/4). Which is the nearest to l? (a) -0.5 (b) 5\/4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 988532*c\/3 - 244298878756\/3.\nAnswer: -(c - 494266)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3.5. Which is the biggest value? (a) -2\/5 (b) u (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.878459 to 1 dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 163745 + 163745.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -756 - -181?\nAnswer: -5a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25371081?\nAnswer: 3, 2819009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.387 + -10.387. Are b and -1333\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3465, -6946, -10437, -13944, -17473, -21030, -24621, -28252?\nAnswer: -31929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 345. Let r(q) = 47*q**2 + 4*q + 2. Let a be r(-3). Suppose 10*s - a = -23. Calculate the remainder when l is divided by s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*x - 2*d, 54*d + 24 = 5*x + 57*d for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r. Let a(d) = -3*d**3 - d**2 + 4*d. Let v(p) = p**2 + p - 1. Let t be v(0). Let c(b) = t*a(b) - 4*f(b). What is u in c(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*b - 3*x, 6 - 2 = -4*x. Let f(u) = u + 4. Let z be f(0). Suppose k = -5*m + 8, 3*k + 0*k = 4*m - 14. Sort z, b, k in descending order.\nAnswer: z, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z**3 - 40*z**3 - 42*z**3 - 33*z**3 + 168*z**3 + 50*z**2.\nAnswer: 14*z**3 + 50*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*w - 3*w + 15, -2*f - 9 = -3*w. Let d(q) = 12*q**3 + 4*q - 3*q - 24*q**w. What is the units digit of d(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 2, t = 3*q - t - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 16092794412 and -4514.\nAnswer: 16092789898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(39)\/sqrt(3)*-3 + (sqrt(117) - ((sqrt(117) - sqrt(117)*-2) + sqrt(117) + sqrt(117)))\/sqrt(9) + (sqrt(1053) - -1*sqrt(1053)*1)))**2.\nAnswer: 353925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1715 + -1707. What is the second biggest value in o, -2\/7, -16\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1706 and 43667?\nAnswer: 45373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 441 = 2*o. Calculate the remainder when o is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/32 and 381\/(-60) - (4 - 5)\/1?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565828?\nAnswer: 2, 17, 53, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42295\/39 - -3254\/3. Let y = v - -1777\/312. Find the common denominator of y and 59\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.662 + -1.253. Let k = w + 0.091. Let q = -2.6 - -3. Which is the second smallest value? (a) k (b) q (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 384, 0, -1, -0.1, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4902377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1519 + 0.0481. Let z = -0.35 + 0.05. Which is the closest to -1? (a) y (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -26. Let k(v) = 10 + 0*v**3 - 7*v - v**3 + 9*v**2 + 0*v**3. What is the remainder when k(8) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -13\/3, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8830 - 759429\/86. Find the common denominator of u and -93\/22.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -10. Let a be 2\/((-21)\/24 - p). Suppose 6 - a = -n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 11, -0.41, 29, 0?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2464, 5847, 9230?\n\"Answer: 3383*i - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**4 + 195*y**3 - 7560*y**2 = 0 for y.\nAnswer: -63, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 0.03, 0.3, -0.444, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/47)*b\/(b\/(b**(3\/16)*b*b)))\/(b**12*b*b*b\/(b*b\/(b*b**4))) assuming b is positive.\nAnswer: b**(-11923\/752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 407 and 202316?\nAnswer: 2225476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*(-3 - -15). Suppose z*v = 7*v + 5. Suppose v = 2*n - 5. Which is the third biggest value? (a) n (b) 2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-9)*y*y*y*(y*y**(-5))\/y*y*y assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 199506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 + n**3 + 0*n**3)*(11 + 14 + 17)*(-4*n**2 - 5*n**2 + 4*n**2).\nAnswer: -210*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4279689.\nAnswer: 3, 158507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 178477499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**4\/19 + 242*z**3\/19 + 306*z**2 - 234090*z\/19 - 8489664\/19 = 0.\nAnswer: -51, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/35))**1)**(4\/5) assuming n is positive.\nAnswer: n**(-8\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 0, z = 4*j - j + 6. Suppose z*n + 8 = y - 2, 0 = n. Suppose 6*d - d + y = 0, 3*d + 2000006 = 5*b. What is b rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (35 + -2)) + -18 + 4 + -4 + 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3359*b - 49 = 3374*b + 56 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6*s**2 - 2*s. Let c = 72 - 60. Calculate the least common multiple of c and p(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37129.863107 + -37130. Round i to four decimal places.\nAnswer: -0.1369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**5)\/n)\/n)\/(n**(-1\/5)\/n))\/((n*n*n\/(n*n*n**(-4)))\/(n*n**6*n))*((n*n\/(n*(n*n**(-2\/15)*n)\/n))\/(n\/(n*n**(-3\/8)\/n)))**(-31) assuming n is positive.\nAnswer: n**(5603\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005559981 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5365203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 890346940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 28 = -o - 21, 4 = 4*o. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*b**4 - b**3 + 1256690*b**2 + 13342264*b wrt b?\nAnswer: -84*b**2 - 6*b + 2513380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = -x. Let s(c) = c**2 + x - c - 6*c + 3*c. Suppose k - 3*a = a + 15, k + 2*a = -3. What is s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1368)\/40)\/((-58)\/29*(-6)\/40)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/5*(-31)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 8 = 0, -4*d - 87134 = -8*d + 3*v. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 54846?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o\/(o\/(o\/(o\/(o**(-2)\/o))))*(o\/((o\/(o**(1\/16)\/o))\/o))\/o*o**(-4\/5)*o)**(15\/4) assuming o is positive.\nAnswer: o**(303\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1222875812.\nAnswer: 2, 14153, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13633.\nAnswer: 13633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1122.4, 0, 19, 4, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i**3 + 12*i**3 - 5*i + 12*i to r*i**2 + d*i**3 + k + q*i and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325384 is divided by 147261.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i**(-1))**(19\/4)\/((i\/(i\/i**(-2\/13))*i*i**(2\/3)*i)\/(i**0\/i**1)) assuming i is positive.\nAnswer: i**(193\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569000 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 1, f: 2, e: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -6e21?\nAnswer: 6e26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9158\/55 - -438859\/2640. Calculate the common denominator of 41\/1584 and j.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111210 (base 3) to base 10.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 - 4*g. Suppose -t = -5*t + 5*f + 75, -5*t - 5*f = -105. Let b be (6\/(-8))\/(5\/t). What is h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5866 + 5923. What is the highest common factor of 1520 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159 and 4360893.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 6*j**2 - 3*j - 2. Let y be k(-5). Let u = 7193 + -7193. Suppose 0 = 6*t - 3*t - 3. Put y, u, -4, t in decreasing order.\nAnswer: t, u, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 42 = -9*v. Find the common denominator of ((-121)\/12)\/(-11)*v and -145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -764371, -1528744, -2293117, -3057490, -3821863, -4586236?\nAnswer: -5350609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*f + 39 - 51, f + 8 = j. Suppose 4*i = 43 + 1. Let m(l) = -11 - 7*l - i + 17 + 2*l. Let k(w) = 4*w + 4. Determine j*m(v) + 4*k(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 4925. Let u(y) = -16*y**2. Calculate q(u(w)).\nAnswer: -48*w**2 - 4925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -38492843\nAnswer: 42342127.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 1 + 1)*(4*x**2 - 3*x**2 + 0*x**2 + (-1 + 1 - 2*x)*(3*x - 4*x - x) - 36*x**2 + 9*x**2 + 10*x**2).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15116597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1.37.\nAnswer: -5.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from aaiqaagqddli.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 1, 27, 0 in ascending order.\nAnswer: -6, 0, 1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3482\/13 smaller than -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5428 is divided by 321.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 + -5.38. Let u = -3596 - -3596. Let c = 2\/13 + 12\/91. What is the closest to c in j, u, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**2)\/u)\/u**(2\/23) assuming u is positive.\nAnswer: u**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191 - -4. Let v = -194.999999742 + q. What is v rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*z\/z**(1\/2)))\/z**(2\/3)*((z*z*z*z**(11\/5)\/z*z*z)\/z*z)\/z**(2\/7) assuming z is positive.\nAnswer: z**(1207\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 - 100 = 22*n. Solve -3*x = -4*z + 8, 11 = z - n*x - 0*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2341 is divided by 497.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-28)*12 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 12. Suppose 6*f - 2*f - d = 0. Suppose -2*u = 3*u - 75. Solve -f*h = -4*n - 35, 0*h = 5*n + 2*h + u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*y = 171*y + 51. Let b = 30 - y. What is the remainder when 62 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 215 = -2*c - 5*m, 0 = -5*m + 10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 85402*p + 115 = 85407*p, 2*v - 3*p = 61 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -131950 - 18.7?\nAnswer: -131968.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -54) + -65 - 23.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 377432 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 + -6 - (-3 - (11 + 5))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*z + 16 = 0, 0 = -2*u + 4*u + 4*z - 2. Suppose u*g + 4*p = 35, 0 = -4*g + 5*p + 1 - 6. Suppose 0 = -2*s + g*s - 18. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*p**4 - 21*p**4 + 5*p**4)*(-7 + 2*p + 7) + 2*p**5 - p**5 - 2*p**5.\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -315226, -1263419, -2843740, -5056189, -7900766?\n\"Answer: -316064*g**2 - g + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -2)\/((-2)\/4). Suppose -5*k = -0*k - 4*y + 5, 5*k = -4*y - 45. Let r = -2 - k. Solve r = -2*u - t, 2*u = -3*u - g*t - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/7 + 3*s**2\/7.\nAnswer: s**2*(s + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235015 by 5.\nAnswer: -47003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 1:02 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(5\/25*(-5)\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/3 + -23 + 31 - 2. What is the closest to v in -3, -0.11, -10, -5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11705 and 16100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141984124 by 141984124.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 16 - -2 - -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 25 + 3. Suppose -161 = -4*d - 53. Let p = d + i. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(2\/31)\/i)\/i*(i\/((i\/(i**(2\/21)\/i)*i)\/i))\/i)**(-34))**(1\/13))**(1\/6) assuming i is positive.\nAnswer: i**(42500\/25389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(539) + -4*sqrt(539) - sqrt(539))**2 - (5 + sqrt(66)\/sqrt(6)*4)**2.\nAnswer: -40*sqrt(11) + 8426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 33 = t. Suppose 2*b = -b. Let q be -1 + 3 + b - -86. What is the greatest common divisor of t and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*w + 6*w - b - 2, 0 = -3*w + b + 2. What is the third biggest value in -4\/7, 0.1, 46, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - 17*y + 9. Let n(o) = 3*o - 19. Let t be n(8). Let m be l(t). Is 99 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 1 - 10 + q + 0.\nAnswer: q - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 125.5. Is f not equal to -0.023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4 + 1. Let n(b) = -b**3 - 31*b**2 - 28*b + 63. Let d be n(-30). Sort d, c, -5 in descending order.\nAnswer: d, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 10) to base 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.18, -3\/196 in descending order.\nAnswer: 0.18, -3\/196, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1040 divided by -20.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22618 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 = -0*j + 2*j, 0 = -j + 2*u + 4. Suppose 0 = -5*b - l + 25, -b = j*l - 0 + 4. Calculate the least common multiple of 2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-24)\/30 - -2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 115*w**3 + 26 - 56.\nAnswer: 115*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124590 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**5\/150 + x**4\/15 - 4*x**3\/15 + 17*x**2\/2 + 6. Let d(f) be the second derivative of c(f). Factor d(p).\nAnswer: -2*(p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193816793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.00068 - 18. What is z rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13888346, -27776691, -41665036, -55553381, -69441726, -83330071?\n\"Answer: -13888345*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 6)*(1 - 2 - 2) - 8 - 35 + 13)*(z - 10 + 10).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 - 17759?\nAnswer: -17786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 16) + (-30 - -64)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i = 78*i - 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-45)*-3)\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -2*a**3\/3 + 5. Let m(d) = 3*d + 7 - 4*d - 7. Calculate m(v(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3819605?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 22, -4\/9, 2\/13 in descending order.\nAnswer: 22, 2\/13, -4\/9, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -5 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 10. Let i = r + -2. Solve -6 = -i*s - 0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99825 and 2075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 + 388 = 2*g. Let q = 765 - g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/4 - 108519*o\/2 = 0. What is o?\nAnswer: 0, 72346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*n + 12 = 0, 3*d - 8*d + 3 = -n. Suppose -5*q - 5 = -d. Let z be (24\/(-90))\/(2\/(-3)). What is the nearest to q in 5, -2\/19, z?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v = -49*v + 1056. What is the greatest common divisor of v and 1500?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -90 + 91.02. Let b = h - 0.02. Suppose 9 = -c - 4*n, 0 = -3*c - 4*n - 21 + 2. Sort c, 0, b in descending order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6, 0.1, -3\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a gram in milligrams?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/7)*v*v**(-2)*v\/(v*v\/(v*v**(-6)))*v\/(((v\/v**(1\/11))\/v)\/v))\/(((v*(v**2*v)\/v*v)\/(v**(-1)*v))\/(v**(-1\/3)\/(v\/(v**2\/v)))) assuming v is positive.\nAnswer: v**(-2201\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-5))\/(4\/70). Suppose z + 4*z = -20. Let m be (-2)\/(5\/(350\/z)). What is the greatest common divisor of m and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 354. Let t = 230 + q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 1, b: 1, o: 2}. Give prob of picking 1 b and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 14*b - 36. Suppose 3*k - b = -3. Solve 0 - 2\/11*i - 2\/11*i**3 + 4\/11*i**k = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5244, 20048, 44712, 79230, 123596, 177804, 241848, 315722?\nAnswer: 399420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2903946 (base 10) to base 15\nAnswer: 3c5666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) 0 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2242187388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.1. Let o = 0 - 0.1. Which is the second biggest value? (a) -5 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-293*s + 199 - 283*s + 566*s - 30)*(4 - 4 - s).\nAnswer: 10*s**2 - 169*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/28)\/2*34\/((-646)\/399)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (29 - -22) - (0 - (0 - -1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1711*w**5 + 170*w**2 - 537*w**2 - 934*w**2 wrt w?\nAnswer: -102660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 323*a**2 + 565*a - 6. Let s(t) = -3*t**3 + 645*t**2 - 1126*t + 14. Let x(u) = -7*r(u) - 3*s(u). Find the second derivative of x(i) wrt i.\nAnswer: 12*i + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*o - 385, 561 - 27 = 4*i - 5*o. Let d(n) = -59*n - i*n + 2 + 31*n. What is the tens digit of d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -57, -6, 4, -75 in increasing order.\nAnswer: -201, -75, -57, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (0 + 5)*1. Let t(d) = -d**2 + 14*d + 35. Let g be t(16). Suppose -60 = -4*o - i*b, -b + 2 = g. Solve -4*f = -2*c - o, -7 = 5*c + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4526 is divided by 377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 324 = 4*j, -4*j - 4445*m = -4446*m - 328. Solve j*z - 78*z = 3*p + 25, -2*p - 8 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*s = 366*s + 5*n - 219, -70*s + n + 165 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v + 9754 - 9204 = 0 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -93, 92, 0, -5 in descending order.\nAnswer: 92, 3, 0, -5, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-255)\/(-60))\/(423\/(-212) + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9684 is divided by 4833?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.2 - 33.4. Let u = w - -16. Let v = 0.5 + u. What is the closest to v in 0.3, -0.5, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, -5, 69600 in descending order.\nAnswer: 69600, 22, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 17451794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 50073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -19, 318\/11, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, -10866, 3 in descending order.\nAnswer: 10, 4, 3, -10866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5593720, 11187439, 16781162, 22374889, 27968620, 33562355, 39156094?\nAnswer: 44749837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 3*q + 15, 2*q = -5*j - 3. Let g = -1 + -1. Is (q\/(-5))\/(g\/(-5)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-21)*-7*9\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-266)*-7*(-8)\/8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6430 (base 8) to base 11\nAnswer: 2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(2\/6*-2). Let h = i - -2. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -7 (c) -12429\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10007\/1071 + 98763199\/21420. Let s = i + -4603. What is the common denominator of 95\/32 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 267 = -3*y, 6*k = 4*k - 5*y + 213. Let n = k - 92. Factor 4*c**n + 20*c - 42 + 98 - 32.\nAnswer: 4*(c + 2)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 3 = -4*b. Let k be 252\/b - (-2)\/(-5). Calculate the greatest common factor of 40 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-3)*(-43 + 40). Sort -0.4, f, 5, -7 in ascending order.\nAnswer: -7, -0.4, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 13995 = -4*l - 4967, -l + 2274 = -4*w. Calculate the remainder when l is divided by 1127.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 69*r - 3 + 66*r - 137*r + (-r + 7*r + 5*r)*(-r - r + 4*r) to c + u*r**2 + h*r and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23\/5 (b) -3 (c) 1\/5 (d) -1027\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 divided by -103?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-15)*(-305)\/(-854)*7\/(-3).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 3. Let w be i(-1). Let h = -2 + 8. Let k be w + (-10)\/h + 1. What is the second biggest value in -4\/5, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693641 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*o - 11 = -2*v, -3*v - o + 11 = 0. Let p be (-3 - -1) + v + -2. Which is smaller: p or -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734*t - 446*t - 379*t - 376*t - 456*t.\nAnswer: 77*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 + -66. Let d = k - 11. Let r = -0.33 - 1.67. Which is the nearest to 0.2? (a) d (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -56 and -18.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 4*j + 3. Let n be b(3). Suppose m + 21 = -n*m + v, -2*m - 52 = -4*v. What is the tens digit of (22\/4)\/((-8)\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, -0.3, 2.7, 0.1 in ascending order.\nAnswer: -6\/11, -0.3, 0.1, 2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 104621.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 508489535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -13. Let t = 1167\/11 - 106. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 + 2 + (9 + 41 + -26 - 25) - -11.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1431698412*x**3 - 117992396?\nAnswer: 4295095236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -78, -180, -322, -504, -726, -988?\n\"Answer: -20*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8893962 by 46.\nAnswer: -193347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46317, -92668, -139033, -185418, -231829?\nAnswer: -278272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**5 + w**3 - w. Let h(q) = 8*q**5 + 23*q**4 - 6*q**3 - 41*q. Let s(y) = h(y) + 6*n(y). Find the second derivative of s(b) wrt b.\nAnswer: 40*b**3 + 276*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -4*m**3\/3 - 3*m**2 - 151*m. What is the lowest common multiple of 16 and b(-17)?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:51 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77571 divided by -13?\nAnswer: -5967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:28 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65 + 0.521. Let m = y + -1.871. Which is greater: 9\/4 or m?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, x: 2, w: 2, k: 2, y: 7}. What is prob of sequence sykk?\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122207?\nAnswer: 122207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-42))\/(7\/(245\/(-10)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.57 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 287876.\nAnswer: -8924156","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 133 + -127 - (-6 - (0 - 2)) - (-2 - 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25, -42, -53, -58, -57, -50?\n\"Answer: 3*h**2 - 26*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 1 - 1)*(0*w**2 + 0*w**2 + 2*w**3) - 29*w**5 - 35*w**5 + 2*w**5 - 49 + 18 + 2*w**5 + 8.\nAnswer: -64*w**5 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*m + 107*m + 156*m + 109*m + 355*m)*(2*m**2 - m**2 + 0*m**2).\nAnswer: 810*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 432623796?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foh when three letters picked without replacement from {h: 1, m: 1, o: 1, a: 4, f: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 1 = -3*y, 2*y - 44 = 5*y + 4*s. Let o(g) = -7*g - 8. List the prime factors of o(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169320 minus -2676?\nAnswer: -166644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3\/7 - 1503*i**2\/7 + 19980*i\/7 - 33924\/7 = 0.\nAnswer: -514, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 202, 201, 200, 199, 198?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 5*g**6\/24 + g**5\/12 - 25*g**4\/24 - 5*g**3\/6 - 13*g**2\/2 + 11. Let z(r) be the second derivative of a(r). Factor z(l).\nAnswer: 5*(l - 1)*(l + 1)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1809*h = 1044*h - 27540 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/20)\/(-3))\/(2\/(-5))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -91*u**3 - 77*u**2 + 77*u. Let f(r) = 7*r**3 + 6*r**2 - 6*r. Calculate -77*f(p) - 6*z(p).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -2, -23 in descending order.\nAnswer: 5, 4, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzfzcfffzzfzfzfzfzh. Give prob of picking 1 c and 2 z.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 201637061 to the power of 1\/3, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -581, -861, -1141, -1421, -1701?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 99 = t - 73, 3*t + 123*v = 126*v - 114 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1136 (b) -2\/15 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**3 + 5*n**3 - 15*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 593459071 to the nearest integer?\nAnswer: 24361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddededeeddrjrrjrr. Give prob of picking 1 d and 1 r.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -1114?\nAnswer: -3\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/150*((3 - -3) + -1)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4365714963 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}