diff --git "a/data/dm_maths/full_data_2/2183_11255.jsonl" "b/data/dm_maths/full_data_2/2183_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2183_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What comes next: -417808, -417817, -417826, -417835, -417844, -417853?\nAnswer: -417862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91362401?\nAnswer: 13, 43, 353, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 752 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*s - 238*s - 279*s + 5*s - 3.\nAnswer: -402*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1508, -3366, -5306, -7328, -9432, -11618, -13886?\nAnswer: -16236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/5 or 4995\/11?\nAnswer: 4995\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -951 divided by -6.\nAnswer: 317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57812072.999894 + -57811992. Let l = -81 + f. Round l to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3039*j*x**3 + 27*j*x - 10*j - 2*x**3 + 122*x**2 wrt x?\nAnswer: -18234*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -2*z + 3*z**3 - 2*z**3 - 5*z - 1 + 2*z**3. Let c(b) = -5*b**2 + 4. Give -7*c(t) - 4*x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 140 = 25*u + 14*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/4 + 3*p**5\/10 + 9*p**4\/8 - p**3\/2 - 3*p**2\/2 - 6. What is s in j(s) = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0552688 to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o + 13. Let u be (38\/(-6))\/((-1)\/(-3)*1). Is y(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 44\/5 of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -l + p, 3788*p = 5*l + 3784*p + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.89634km?\nAnswer: 7896340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12232729 is divided by 2038785?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/6 + (-2)\/4 + 4. Let v be ((-2)\/g)\/(92\/24 + -4). Solve 2*f = v*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5299 = -24*d + 31*d. Let u = d - -972. What is the remainder when u is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4067570 and 390.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*l - 13 = 0, -f + 17*l + 5*l = 21*l + 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(6 + 5*v - 6)*(-18*v**3 - 7*v**3 - 35*v**3) to the form o*v**3 + k*v**2 + j*v + s + r*v**4 and give r.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20104 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1600\/6)\/(-4) + 8\/12. Let k = -68 - f. Let j(z) = -z - 1. Give j(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55235506 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Suppose -48 = -p*v - 5*u, -3*v - 4*u = -48 - 0. Suppose 0*t - v = -4*t. Solve j + 3 = 0, -t*f + 4*j = 2 + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/5)\/((-2)\/5). Suppose l*y - 39 = -3. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-270)\/(-192))\/((-36)\/(-8) + (-3 - 1)) and 39\/14 + -2 + 1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0461, 0.3, 5, -0.106, 0, -24 in descending order.\nAnswer: 5, 0.3, 0.0461, 0, -0.106, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/35 + 46\/(-14). Let g be f\/3*15\/1. Which is greater: g or -16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -21*n - 60, 0*y - 1 - 17 = 3*y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 18 = 12. Let p be ((-8)\/d)\/(2\/(-10)). Put p, 2, 1 in descending order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r**4 - r**3 + r**3)*(16 + 21 - 25) + (-r + 3*r - 3*r)*(5*r**3 - 2*r**3 + r**3) to w + i*r**3 + v*r**4 + f*r + u*r**2 and give v.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.362 - 1.38446. Round v to four dps.\nAnswer: -0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15814522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - c = -30. Let o = -89 + 74. Let v be (1 + -4)\/o*-1*c. Solve -2*y - 7 - v = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2223, -7696, -16839, -29652, -46135, -66288?\n\"Answer: -1835*f**2 + 32*f - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*z - 18, 0*z - z - 67 = 5*q. Let l = -9 - q. Let a(y) = -10*y + 17*y + y**2 - l*y + 3. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from {b: 4, t: 2, p: 2, j: 8}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 651 - 368. List the prime factors of b.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*v - 3*g - 576, 5*v - 958 = g. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h + 13. Suppose -135*w + 82*w = 123*w - 880. Calculate z(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*10\/(-45))\/((-2)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 437\/10034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -55*n**5 - 25*n**4 + 975*n**3 + 1525*n**2 - 920*n - 1500 = 0?\nAnswer: -3, -2, -1, 1, 50\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3*u - 25 = 0, -2*l + 5*u - 5 = 0. Suppose -4*q - 45 + 75 = 2*j, 15 = -j + 4*q. Which is the third biggest value? (a) l (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.18 + 6.18386. What is a rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 3:48 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1101110010101000010100?\nAnswer: 1101110010101000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/24 + 17\/(-2448)*-564. Put 8, 53, p in descending order.\nAnswer: 53, 8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 65, 92, 137, 206, 305, 440, 617?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/((-193)\/270200*-50).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2*m**2 + 6*m - 1. Let i be (10\/4)\/(4 - (-252)\/(-48)). Let p(o) = -o - 1. Calculate i*r(c) - 10*p(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1879*w**2 + 13*w - 97613?\nAnswer: 3758*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + 35\/(-10))\/((-6)\/(-2384)). Suppose 2*o + g - 359 = -o, -5*o + p = 4*g. 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: Suppose -25*c = -30*c + 25. Let n be 0 + 1 + (4 - c). Solve n = 2*i - i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495878 is divided by 747646.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.517 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00109953 to 5 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 8:06 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.30220493 or -0.2?\nAnswer: 0.30220493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 9*h + b - 20, -3*b + 6 = 0. Calculate the highest common factor of 279 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 + 3340438*m**3 + m**2 - 39744783 wrt m.\nAnswer: -12*m**3 + 10021314*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(432)*2)\/((sqrt(9) + sqrt(36)\/sqrt(4))*-2) + 0)*3.\nAnswer: -6*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2\/7 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 11*c + 6. Let v be j(2). Let p = 26\/15 + -7\/5. Suppose 0*r + 1\/3*r**v - p*r**5 + 0 + 0*r**2 + 2\/3*r**3 = 0. Calculate r.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -60 - 47 - (-2 + (-5 - -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6)*8\/(-3). Suppose -c + 13 = h*l - 15, 3*l = 5*c - 255. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334138 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21158946811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zpgzgpgppp. Give prob of picking 3 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i - 1686 - 816 - 3022 = -271 for i.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 + 104 + -258 + -36.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 6044\/(-144))*30\/(-4). Let p = -995\/3 + c. Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -3.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 2 (c) 2\/3 (d) 13 (e) -6\/173 (f) 8.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11148 is divided by 45?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300.7522 + -304.89. Let m = v - -186.0168. Let b = m - 182. Round b to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36166821 is divided by 139?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 82\/(-30) - (-2 - (-152)\/57).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**3 - 8*a**2 + 143*a + 19. Let l(q) = -q**3 - 3*q**2 + 47*q + 7. What is -8*l(n) + 3*w(n)?\nAnswer: -n**3 + 53*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 1\/420*t**6 - 1\/210*t**5 - 1\/84*t**4 + 2*t**2 + 1\/21*t**3 + 0*t + 0. Find j such that u(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 256 + -376. Let y = b + 119.46. Let o = y + 0.629. Round o to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.115*-158.\nAnswer: 176.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + (-33 - -81) - 139\/7)*112\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 11. Suppose 9*v = v - 19*v. Suppose 3*k = 3*z + 6 + 18, -4*k - 5*z + 32 = v. Calculate u(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 4*x - 72, -26*r - 9*x + 46 = -22*r for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 6}. What is prob of sequence ttkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -13*b**3 - 9*b**2 + 11*b + 4. Suppose p + 30 = -4*p. Let y(l) = 5*l**2 - 3*l - 2 - 3*l + 4*l**3 + 3*l**3. Determine p*k(w) - 11*y(w).\nAnswer: w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4 - 3\/1. Let r = 3.0384 + -0.0384. Which is the fourth biggest value? (a) 0.2 (b) r (c) t (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 = 6*k - 10*k + 5*l, -25 = -5*l. What is the remainder when k is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**4 + 1 - 2*x**3 + 0*x**3 + 88*x - 93*x + 0*x**4 to the form f*x**4 + r*x + i*x**3 + w*x**2 + q and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a - a**3 + 8 + 5*a - 1 - 5*a**2 - 4*a. Let r be t(-5). What is the highest common factor of r and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 990334 - -19?\nAnswer: 990350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -57, -119, -237, -429, -713?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02725753 to 3 decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -5*s**4\/12 + s**2 - 602*s. Let t(h) = 2*h**2. Calculate t(w(u)).\nAnswer: 50*u**4 - 40*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(10)\/sqrt(45).\nAnswer: -4 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166009 and 4059?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -474.1 + 474. What is the second biggest value in 1, c, 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13650507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/253 and -1\/33.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmm when four letters picked without replacement from mmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 2 = 0. Suppose 5 = m*c - 1. Let q = 7 - 5. Solve -5*r - q = -c*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 3*s + 7. Give f(6).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -684*o**4 + 1540*o**3 - 4113*o**2\/4 + 345*o\/2 - 1\/4 = 0?\nAnswer: 1\/684, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + 2424?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(252) + -4)**2.\nAnswer: 192*sqrt(7) + 4048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 646061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 588\/(-7)*(6\/(-7))\/1. Suppose 68*z - c*z + 2420 = 0. Is 55 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-5)*1*5. Suppose 0 = 5*c - 0*c + 20. Let w be (6\/4)\/(3\/c). Is x equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.12 + -7.09. Sort i, -0.7, 0.4 in descending order.\nAnswer: i, 0.4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40039 = 2*m - 40001 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -32 + (-7 + 3 - 5) - -5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121325441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-2))\/(-6 + 7). Suppose 4*s + 725 = 6*s + 5*b, -n*b = -4*s + 1385. Suppose 2*t = 4*i - s, -t = -i - 4*t + 98. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, f: 4, u: 6}. What is prob of sequence ffu?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 253, 1, -0.3, 1\/4 in descending order.\nAnswer: 253, 1, 1\/4, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m**3 + 8*m**2 + 46*m - 8. Does 32 divide v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 408 and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.016 and 0.102846613.\nAnswer: 0.118846613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/((o*(o*o**(-4\/5)\/o)\/o)\/o))*o)\/o)**(-35) assuming o is positive.\nAnswer: o**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 2 + 16. Let b be 1\/1 + (1 - -1). Is c greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + e?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10266 >= 11750?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -93, -319, -763, -1497?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = -3*q + 11, 8 = -2*w. Suppose 4*x - 17 = -f, -q*f - 22 = -2*x + f. Calculate the lowest common multiple of x and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 1, q: 1, l: 2, g: 1}. What is prob of picking 2 l and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 120\/35)\/(1\/(-14)). Solve 2*z = -0*z + q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 38*t)*(4 + 4 - 7)*(0*t + t - 3*t + 2).\nAnswer: 76*t**2 - 76*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*h + 5 = 8*v, 2*v - 32 = 5*h. Solve v*g + 48 = -7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**5*y**3 - 72237*p**3*y**3 - 6168*p**2*y**3 + 4*p**2*y**2 + p**2 wrt p.\nAnswer: 120*p**2*y**3 - 433422*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 3}. What is prob of picking 2 g and 2 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150 - (103 - (98 - 13))\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -62*y - 29. Let b be a(-4). Let c = -20 + b. Does 37 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/2*(-2)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*m**3 + 321*m**3 + 507*m**3.\nAnswer: -291*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2602 or -17222?\nAnswer: -17222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 210 - 181. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7038\/(-1159) + (5 - -1) + 0. Let v = 2\/61 - p. Which is the closest to -2\/11? (a) 0.13 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -8\/7, -1\/4, -3\/2, -9821?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056 and 176.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 528849 = 528975 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7)*j)**(-2\/45)\/((j*j\/(j\/j**(3\/7)))\/j*j**(-1)\/j*j) assuming j is positive.\nAnswer: j**(148\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200996 is divided by 2967.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 138, 55, 3.\nAnswer: -2, 3, 55, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -22 + (36 - 0 - (1093 + -1134))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - y + 7*y - 3*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 + 12)*1)\/(-2)*2*2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 4) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - p - 3, p + 475 = -3*f - 0*p + 468 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2)\/(-2 - (-5)\/2). What is the closest to -0.07 in 5\/4, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7550.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 159.2, 0, -2\/5 in descending order.\nAnswer: 159.2, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324960361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -6, 11, 3, 6 in ascending order.\nAnswer: -6, -4, 1, 2, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {i: 1, c: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -b - 72, 3*c - 74 - 29 = -b. What is the remainder when 140 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkookollloko. Give prob of sequence kk.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5, k: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2948, -5975, -9002, -12029, -15056?\n\"Answer: -3027*y + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 132 + -121. Suppose 251 = k*h - 244. Let g be (-3)\/(-7) - 102\/(-7). What is the highest common divisor of h and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2 - 2406092*n - 12030660.\nAnswer: 4*(n + 5)*(2*n - 601533)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 65*k + 64. Let r(f) = -4*f**2 + 66*f - 64. Suppose 13*w - 6 = 11*w. Let n(o) = w*r(o) + 2*g(o). Find x such that n(x) = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6750552 - -3?\nAnswer: -6750548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56590, 226358, 509304, 905428, 1414730, 2037210?\n\"Answer: 56589*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-41 - (-6 - (-10 + 22)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -875*v**3*x + 939*v**3 + 7*v**2*x + 43358*v*x wrt v.\nAnswer: -5250*x + 5634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -327, 3, -37 in increasing order.\nAnswer: -327, -37, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/271524 and -119\/263538.\nAnswer: 8960292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2*2)\/1. Let q(d) be the second derivative of d**4\/12 + d**2\/2 - 19*d. Let s(o) = -5*o**2 - 2. What is y*s(z) - 2*q(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*t - 3*t, 3*r - 7 = -2*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1519 and -29613?\nAnswer: 44982147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9686569469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 3 - 3 + (-9 - 2 - 12)*(-y + 1 - 3*y + 2*y).\nAnswer: 44*y - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279563998.\nAnswer: 2, 7, 353, 56569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 4*g**3 - 11*g**2 - 14*g**2 - 20*g**2 + 44*g**2. Let i(b) = b**3 - b**2 + 3*b**3 - b - 3*b**3. What is 4*f(v) - 2*i(v)?\nAnswer: 2*v**3 - 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 24*w - 143. Calculate r(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Suppose j = -p + 5 - 2. Solve q = -p*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -14. Let f(l) = -l**2 + 0*l**2 + 5 + 11 + 13*l. Let i be f(j). What is the greatest common factor of i and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18704, -36741, -54784, -72839, -90912?\n\"Answer: -z**3 + 3*z**2 - 18039*z - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - r**2 + 5. Let o be c(0). Suppose 7*w = 2*w - o*i + 790, 3*w + 2*i - 474 = 0. Let f = w - 73. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.861 + -366.419. What is o rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -25, -0.14, 255, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 46. Calculate the greatest common divisor of 39 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + 0 - ((-11 - 9) + 12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -5010*p + 5007*p + 27, 0 = p - 5*c - 22 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - (-3 + 10 + -1)) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5265 + -4917. Calculate the lowest common multiple of d and 812.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 19 = 2*d, -5 = -b. Let g(s) be the third derivative of -s**5\/60 - s**4\/24 - 2*s**2. Let z(a) = 8*a**2 + 7*a. Give d*z(h) - 14*g(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 + 4*m - 8. Let p be l(-5). Let w = 5 + p. What is the first derivative of -335 + u - u**w + 354 - u wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-4)\/444)\/1). Suppose -y = -4*x + 3*i - 0*i, -x - i + 26 = 0. Suppose 3*d = 3*n + x, 0*n + 20 = 5*n. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896 divided by 8?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136426 - 1?\nAnswer: -136430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.216853 and -14.\nAnswer: -13.783147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 6*v + 6. Let b(x) = x**2 + x + 1. Let c(l) = -6*b(l) + o(l). Let m(d) = d. Calculate m(c(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409 times -2?\nAnswer: 4818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 9*o + 15. Let l be -36 - -37 - (519 + 2). Let j = l + 527. What is p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 834*h**4 + 85686*h**3 + 262082*h**2 + 263760*h + 88200.\nAnswer: 2*(h - 210)**2*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.301 - 0.201. Let s = h - 11.147. Let k = s + 0.04700087. What is k rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 851 and 294380473?\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609 is divided by 52.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -419 + 4?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367889 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 68\/3 of a minute in seconds?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1\/2, 6, -4, 12268 in ascending order.\nAnswer: -4, -3, 1\/2, 3, 6, 12268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -l, k - 6*k = 4*l - 3. Let c(j) = -5*j - 1. Let y(s) = -13*s + 4. Let m(d) = -5*c(d) - y(d). List the prime factors of m(l).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -944. List the prime factors of u.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 9\/2) + (-6 - -10)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111614401815*g**2 - 1035132*g + 12\/5.\nAnswer: 3*(431305*g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bba when three letters picked without replacement from baaabdabdbaaaa.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21 - 21 + 26*r)*(-2*r + 0 + 0 + (-1 + 1 - 2)*(2*r - 2 + 2)) to i*r + n + k*r**2 and give k.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399 - 391. Let i = 265 - 69. Suppose 0*r = -3*r + x + i, -4*x + 176 = 3*r. Calculate the highest common divisor of r and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7086\/5905)\/((-28)\/(-30)))\/(1\/3).\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003382168 rounded to six dps?\nAnswer: 0.000338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/(-18) - -19)*(-18)\/108*28\/(-1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 60 = -r. Let t be (-1)\/5*10\/r. Which is the closest to -1\/4? (a) -1 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 73. What is the closest to -0.2 in 1, 0.05, d?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 - 37*u + 125*u**2 + 164*u**2 - 289*u**2 in the form n + x*u**2 + m*u**3 + j*u and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58\/147 - -3\/49. Which is the nearest to -2\/5? (a) -3\/7 (b) y (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -175100, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3869, -9565, -17091, -26447, -37633, -50649, -65495?\nAnswer: -82171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 * -5628.6\nAnswer: -20825.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence govn when four letters picked without replacement from {g: 5, n: 7, o: 2, v: 5}.\nAnswer: 175\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -39109, -39032, -38823, -38416, -37745, -36744, -35347?\n\"Answer: 11*i**3 - 39120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2102330343 (base 5) to base 7\nAnswer: 51612345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*u + 161*u = 1176. Calculate the lowest common multiple of 48 and u.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72 + 2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*r + 2*m + 251, 0 = 4*r + m - 327. What is the second derivative of -32*h**5 - r*h**5 - 117*h + 0*h**3 + 0*h**3 wrt h?\nAnswer: -2280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -391252\nAnswer: 1\/195626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 5. Suppose 4*o = 2*i + i + 31, 0 = 5*o - 3*i - 35. Suppose 6 = o*m - 22. Let a(t) = -2*t + 6. Determine m*d(n) - 6*a(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3312)\/336*1*56\/12\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11637*i + 32188 = -10399*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 102034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 17. Suppose 30*v = 40*v + 2*j - 22, 2*j = -2*v - 2. Let z(f) = -2*f - 17. Give v*z(p) + 4*x(p).\nAnswer: 2*p + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3963144, 3963027, 3962908, 3962787, 3962664?\n\"Answer: -x**2 - 114*x + 3963259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -30*t**2 - 8*t - 42. What is b(-3)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2444420 by -1084.\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 705309.3 nanograms?\nAnswer: 0.0007053093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.326, 0, 2\/7, 6 in increasing order.\nAnswer: -0.3, 0, 2\/7, 0.326, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c6b (base 15) to base 16.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 30 = -9*g. Suppose 4*p - 8 = 0, 3*q - g*p - 16 = -2*p. What is the smallest common multiple of q and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/20 + 11*q**4\/12 - 2*q**3 + 5*q**2 - 3*q + 5. Calculate m(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5.11. Let h = -1.11 - s. Sort h, 0, -3 in ascending order.\nAnswer: -3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 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: Let x = 0.527 + 0.053. What is x rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 36 = 8. Let b be 15\/3 + (a - -2). Let o be 32 + b + (-10)\/(-5). Is 29 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*y**5 - y**4 + 731*y**3 - 2017*y**2 - 676*y wrt y?\nAnswer: -7920*y**2 - 24*y + 4386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -597965 divided by -59?\nAnswer: 10135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17812 * 19.\nAnswer: -338428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 5. Let q(m) = -m**3. Let j be q(1). Let z be 0\/j - (-14)\/(-77). What is the second smallest value in z, a, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25143 (base 13) to base 8.\nAnswer: 205353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 480787053*b\/7 + 137367730\/7 = 0. Calculate b.\nAnswer: -68683865, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 182*k + 4. Let c be y(8). Suppose -c = -3*z + 4*o, 14*z - 15*z + 500 = 2*o. List the prime factors of z.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let k(o) be the second derivative of o**3\/2 - 5*o**2 + 7*o + 2. Give f(k(i)).\nAnswer: -18*i**2 + 120*i - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 18*g - 260, -21033*l - 40 = -3*g - 21032*l for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2. Suppose 2*r - 4 = 0, 4 = g - 4*r + 11. Let x be k(g). Calculate the highest common factor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003039210885 to 4 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2361455 (base 7) to base 8.\nAnswer: 1113240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46032914*y**3 - 197745872 wrt y?\nAnswer: 138098742*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -195590.12?\nAnswer: -782360.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.022 + -36.022. Let z = 28 + v. Let x = 13 + z. What is the second smallest value in 4, 1\/2, -3, x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456*z - 420*z = -895*z + 456 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86373427139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/62700 and -12\/175.\nAnswer: 438900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197834429*f**3 - 3115*f**2 + 2525*f - 2 wrt f?\nAnswer: -1187006574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*l + 30, 3*h + 2*l = -h + 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2922 divided by 2\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -19*i**2 - 43*i - 13. Let a be -1 - (23 + -4) - 2. Let m(u) = -5*u**2 - 11*u - 3. Let x(z) = a*m(z) + 6*k(z). Solve x(w) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1841.08904 to the nearest 10.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 5, -5?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 - 7*k + 71. What are the prime factors of y(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*w - 50, -4*h + 75 = 5*w - 6*w. Solve -5*x = 4*t - 45, 3*x + 0*t = -t + h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/14 and (((-135)\/10)\/(-9))\/((-63)\/(-148))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dndwtdw. What is prob of sequence wdwn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -10*g**3\/11 - 7638*g**2\/11 + 10388808*g\/11 - 20746984\/11 = 0.\nAnswer: -1471, 2, 3526\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -3*sqrt(70) - sqrt(70) - sqrt(70))*6)\/(sqrt(20)\/sqrt(2)*-1).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -48d (base 16) in base 8?\nAnswer: -2215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*x + 14. Suppose 3*q = 2*f + 55, x*f = 5*q - 2*q - 70. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 406142\nAnswer: -162456.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 414 divide 10195354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525 a factor of 71057375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8249d (base 14) to base 12.\nAnswer: 13168b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z - z)*(1 - 4 + 5)*(918 + 216 + 2025).\nAnswer: 12636*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1638\/(-364)*4\/27.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - -11)\/(4 - 1). Suppose -2*f + 5*a - 14 = z, -4*a + 14 + 4 = -5*f. Let c(j) = -j - 1. Let w(t) = -2*t - 4. Give f*w(h) + 6*c(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(2 + (-4)\/3). What is the smallest common multiple of (-2)\/(-9) + (-679)\/(-63) and 23\/3 + b\/(-6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 13.6. Let d = 0.08 - 1.28. Let r = y - d. Which is the second biggest value? (a) 0.5 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 536722483 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**5\/5 - w**2\/2 + 3*w. What is the units digit of x(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 5:28 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of 5*y**3\/3 + 3*y. Let a(d) = -d. Let s(j) = -j**3 - j - 1 - j - 2 - 2*j**2. Let b be s(-2). Give b*c(g) + 8*a(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/52846707?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 14 = 13*t. Suppose 0 = -7*p - 1 + 22. Sort -5, p, t, -4.\nAnswer: -5, -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*s - 22, g - 9 = 4*g + 3*s. Let f(y) = 9*y**2 + 0*y**2 - 3*y**2 - 10 - 9*y + y**3. Calculate f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - c - 2*c)*(-43*c**2 + 229*c**2 + 208*c**2)*(0 - 4 + 2).\nAnswer: -1576*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137\/15 + -9. Suppose 3*c = 12 + 12. Suppose c*f = 7*f. Does f = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101408.\nAnswer: 2, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -38. Let z = -37 - v. Suppose 0 = -z*k + h - 5*h + 5, 4*k + 5*h - 7 = 0. Solve 0*r - k*r + 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*k - 2*v - 1248, 628 = 2*k - 3*v. Let r be (-8*1)\/(-4) - k. Is 9 a factor of 4\/(-3) - r\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 2)*(-2 + 5 - 1)*(1 + 3 - 6)*(1 + 2*z**3 - 1).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8763999 by -1.\nAnswer: -8763999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 63597744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0181165 and -4.\nAnswer: 0.072466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 263 = -49. Suppose 4*f - 42*b + 3 = -k*b, -3*f - 1 = -b. Solve f = -2*d - 2*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.09 - -9.59. What is the nearest to -2\/3 in o, -2\/15, 0.9, 4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3069.08 - -3635580.\nAnswer: 3632510.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 891162740 to the nearest integer?\nAnswer: 29852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/397 - -808\/2779. Let i = -2\/189 - -577\/945. Let z = -30 - -27. What is the third smallest value in z, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.03785733 to 1 decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a decade in years?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12672 + 11*x**2 + 12672.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -67.38. Let l = 0.38 + x. Let q = -14.9 + 9.9. Sort q, l, -0.2, 4.\nAnswer: q, -0.2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 2*n**2 + 1390 - 2784 + 1394. Calculate s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2 = -10*r, 3*r = 12*g - 11*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 6 + (4 - 5 + 3)*(-1 + 1 - 1) + (2 + 0 - 1)*(-2 + 0 + 0))*(-13 + 13 + 2*v) as g + x*v and give x.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/(-6460)*(-12)\/9 - (14\/10 - 2)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4058 - -4077. Suppose -v + 32 = -2*c + 6*c, -4*v - 5*c + 161 = 0. Calculate the remainder when v is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -222*d**3 - d**2 + d + 1. Let k be ((-3)\/(-6) + -1)\/((-2)\/12). Suppose 2*v = -v - 3*m - 6, -m - k = 2*v. Is g(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43.27 + 0.27. Let h = u - -42.9. Let k = h - 11.5. What is k rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Which is the nearest to f? (a) 3 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-34)\/(-8))\/(-5 - 105\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, u: 5}. What is prob of picking 2 p and 1 u?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -254*h**3\/3 - h**2 + 6*h + 2013. What is the second derivative of u(d) wrt d?\nAnswer: -508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3248000 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 138 (base 10) to base 16\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30515 to three dps.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 3, 0, -32, -15, -1, 5 in decreasing order.\nAnswer: 92, 5, 3, 0, -1, -15, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - -1*sqrt(325)) + -5 + -4 + sqrt(117)*-4 + sqrt(13))**2.\nAnswer: 18*sqrt(13) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.56 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(45) - sqrt(2)) + sqrt(2))**2 + (-2*sqrt(200))**2.\nAnswer: 7202\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {p: 1, s: 6, n: 3, h: 5}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -90 (b) 3 (c) 4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 13055*m + 326437. Calculate x(-25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4461 + -2?\nAnswer: -4463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) + sqrt(56))*2 + sqrt(56) - sqrt(56))\/sqrt(8).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/22 in 0.1, -236, 3\/7, -4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 35 + -1 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 299 = 4*b + 2*r, -3*r + 222 = 3*b. Suppose -5*g + 40 = -b. Let y(c) = g + 17 - 40 - 28*c. Let n(o) = -o. What is n(y(x))?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -6*r + 0*r**3 + 3*r**2 + 0 - 1\/2*r**4. Let q(f) be the first derivative of w(f). Let j(c) = 2*c**2. Calculate q(j(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/10, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144194.1 hours in seconds?\nAnswer: 519098760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166060621 to the power of 1\/2, to the nearest integer?\nAnswer: 12886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -84323 and 0.023673417.\nAnswer: -84322.976326583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 2\/2)\/((-3)\/(-2)). Let u be 2\/f*((-1 - -4) + -3). Suppose -5*z + 2*c = 17 - 97, -5*c = u. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*x - 13 - 9 = 0, 0 = 3*q - x - 26. What is the remainder when q is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8833\/372 - 135\/124. Let h = 571\/10 - 1589\/30. Calculate the common denominator of i and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20937547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3 = -31*s + 42*s, 4*m + 14 = 3*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(60)\/sqrt(3) + (sqrt(270)\/(sqrt(27)\/sqrt(3)))\/sqrt(6) + (1*(1 + sqrt(605))*-2*-5)**2.\nAnswer: 2213*sqrt(5) + 60600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/5)\/((-2)\/2). Is ((-4)\/14)\/(a\/266) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g + 53*g = v + 6*v + 82 + 10, 5*v + 50 = 5*g for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116, 201, 284, 365, 444, 521?\n\"Answer: -u**2 + 88*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 30, 40, 52?\n\"Answer: l**2 + 5*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 38*k - 3. Let b(f) = 13*f - 1. Calculate -7*b(h) + 2*v(h).\nAnswer: -15*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 98028230539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 662\/5 bigger than 131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3341 + 3343. Solve 43 = w*c + 45 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 7:13 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3174 (base 9) to base 15.\nAnswer: -a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1884, -3772, -5662, -7554, -9448?\n\"Answer: -r**2 - 1885*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 3. Give y(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 10*d**2 + 12*d - 9. Let h be z(12). Let x = -87 - h. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(162)\/sqrt(12))*2)\/(((sqrt(48)\/sqrt(2) + sqrt(24))\/sqrt(3))\/sqrt(4)*-5) + 3.\nAnswer: -9*sqrt(3)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**3 - 6*x**2 - 11*x - 18. Let r be p(-5). What is the highest common divisor of r and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 4*l**2 + 2*l + 11. Give t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 126, 131?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1349 + 1.\nAnswer: 1.1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2350000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -19. Factor -2 - 12*h + 4*h**2 + 4 - h**2 + z*h**2.\nAnswer: 2*(h - 1)*(5*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998, -1996, -2994, -3992?\nAnswer: -4990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((356\/4)\/(((-105)\/5)\/(-21)))\/(-1)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 248, 503, 762, 1025, 1292?\n\"Answer: 2*x**2 + 249*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/2))**(-1\/11)*(b*b**(-4\/3)*b)\/(b*(b**4*b)\/b))\/(b**(-1)\/(b*b**(-7)))**23 assuming b is positive.\nAnswer: b**(-7879\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 243769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 408 = -110*g + 512 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 9 + 9 - 1 + 6384*g.\nAnswer: 6384*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*t = -199 + 144 + 1339 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*x - 4\/17*x**2 - 2\/17*x**3 = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 15*r - 5. Let s be y(4). Is 9 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 20 = -5*y + 4*p, 5*y - 3*p = 32. Find the second derivative of -7 + 7 + 0*c + 4*c - 3*c**y wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-1\/8)))\/((r**(1\/5)*r)\/r)*(r\/r**(3\/4))\/((r*r**(-3)*r)\/r) assuming r is positive.\nAnswer: r**(117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 7*r - 9. Let y(b) = b**2 + b. Suppose 5*i = -9 - 1. Let f(g) = i*y(g) + j(g). What is the remainder when 82 is divided by f(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:27 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g**(3\/2)*g)*g**(-6)\/g)\/((g\/g**(-1))\/(g*g**(-7))))\/((g**(1\/3)\/g)**(-3\/5)\/(g*g**(-1\/2)\/g*g*g*g**(-2))) assuming g is positive.\nAnswer: g**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {w: 8, s: 2, n: 2}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 714*u - 367*u = -2533*u - 33828 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbbbbbsbbbbbbbbbbbs. What is prob of sequence ss?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29004676?\nAnswer: 2, 7251169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let y(c) be the third derivative of 19*c**5\/6 + 590*c**2. Determine y(n(s)).\nAnswer: 760*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*c - 5*m - 25 = 0, 0 = -3*m - 15. Solve c*p = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*l - 24*l + 18*l to the form z + t*l and give t.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0*o - 1\/2*o**4 - 3\/2*o**3 + 0 - o**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-190)\/(-25) + (-4)\/40*-4. Let g(u) = 2*u**2 - 13*u - 10. Let l be g(t). Solve -6*k = q - k + l, -3*q - 3*k - 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrkmmkrksumr. What is prob of picking 2 r, 1 m, and 1 k?\nAnswer: 135\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5504 less than 6?\nAnswer: 5510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 31248 = 4*w - 18*n, -4*w - 2*n = -31236. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h. Let k(y) = 3*y**2 - 2. Determine k(u(x)).\nAnswer: 27*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let t(b) = -b**2 - 3*b - 3*b**3 - f + 0 + 2*b - b**3. Determine t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320588761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -585, 5, 1\/8 in decreasing order.\nAnswer: 5, 1\/8, -585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**4\/36 - j**3\/18 + 5*j. Factor d(q).\nAnswer: q*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1768 - -1783. Which is the second biggest value? (a) -0.02 (b) 3\/2 (c) -0.3 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:00 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -s - 3, -5*s + 3 = 2*v - 0*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 118532080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**2. Let j(p) be the first derivative of -5*p**2\/2 + 1. Give j(q(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mofkmmmdppdp. What is prob of sequence dfp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 252 - 2?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 3)\/(81\/(-18)). Let v = -40 - -37. What is the closest to m in 5, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1004 - -1755. Suppose 313 + t = 14*h. Suppose 0 = -3*c - 0*c + 33. Calculate the remainder when h is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3508352 greater than or equal to -3508351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmgmgeqanmanmgggga. What is prob of sequence maqq?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160 - -162.1. Which is the smallest value? (a) 1 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 563850 and 18970?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001069 rounded to six dps?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*t + 5504 = 9*t + 22*t. What is the remainder when 310 is divided by t?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.43, -0.4, -0.05, -2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3 + 123*a**2 - 234*a = 0. Calculate a.\nAnswer: 0, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22150 = -20*d - 10570. Let a = 2486 + d. Does 17 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-1)\/38). Suppose 20 = 8*h - 4*h + 2*n, -h + a = 4*n. Let g be h - (-4)\/16*0. Solve 0 = g*c - 0*c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**2\/23 - 849196008*s\/23 - 90141732500392008\/23 = 0.\nAnswer: -212299002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 31*b + 53 = -17*d - 12*b, 3 = -5*d - 25*b + 28*b - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 20*r + 33. Let i be f(-8). Let q be (-104)\/(-52) - (2790001 + i + 0). Round q to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/4 - 5*y**4\/12 - 53*y**3\/6 + 60*y. Find the second derivative of x(d) wrt d.\nAnswer: -30*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86144\/5 bigger than -52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1284 by -215.\nAnswer: 1284\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*u - 4*z + 2 = -514*u, u + 8 = 5*z + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(2187))**2 + sqrt(3) - (sqrt(3) + (sqrt(3) - sqrt(12)\/(2*sqrt(4))))**2) + 1.\nAnswer: sqrt(3) + 8729\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 8)*(-v + 0*v + 0*v) + 46*v - 14*v - 7*v + 19*v.\nAnswer: 51*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1473 - 1472. Let k(z) = -z**2 - 1. Let p(v) = 3*v**3 + 5*v**2 + v + 2. Determine m*p(t) + 2*k(t).\nAnswer: 3*t**3 + 3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 41 - 73 = 0. Suppose 0 = j*h - 2*d - 105 - 27, -3*d = 2*h - 82. Solve h = c + 6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -2.04. Let p be (-4)\/14 + ((-260)\/(-42))\/10. What is the nearest to w in p, -4, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**3 + 8*q**3 - 2*q**2 + 0*q**2.\nAnswer: -10*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*sqrt(324)\/(sqrt(12) + sqrt(48)\/sqrt(4)*-3))**2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:12 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 169*o**2 - 377*o. Let x(q) = 8*q**2 - 18*q. Let h = 2 - -3. Let s(i) = h*y(i) - 104*x(i). What is the second derivative of s(r) wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:59 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - n + 104. Does 13 divide p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -1056, 8\/125?\nAnswer: 8\/125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33634\/12131 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**2 - 19*i + 18*i + 4 + 2*i**5 - 26*i**2 - 3*i**2 wrt i?\nAnswer: 40*i**3 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 + -1)*2*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(448) - sqrt(448)) + -1 - (-5*(sqrt(448) + (1*sqrt(448) - sqrt(448))) - sqrt(448)))**2.\nAnswer: -8066 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002126 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48654\/180)\/53 + ((-7)\/(70\/(-4)))\/1.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(0*i**3 + 0*i**3 - 2*i**4) - 100*i**3 - 35*i**2 + 2*i**4 + 102*i**3 - 9*i**2 + 1 - 1 - i**4.\nAnswer: 3*i**4 + 2*i**3 - 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-2) - -4)*-2 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from fepvvrvvvvrrb.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2888\/7 - 2\/7*l**2 - 152\/7*l.\nAnswer: -2*(l + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 1. Let l be u(-4). Suppose 5*v - 5 = l*d, -3*d = -2*v - 2*d + 6. Suppose v*p - 4636 - 6129 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 906 and 246.\nAnswer: 37146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*-7 - (-54)\/27\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8571949 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*k - 258, -y + 0*y - 4*k = -252. Is y a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*0\/(-12 - -6). Solve -2 = -p*u + u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37827831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 35*v**2 - 225*v + 18. Give y(6).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210222222*m - 326307323 with respect to m.\nAnswer: 210222222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 412689623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -57*y + 743. List the prime factors of f(12).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*u + 17119 = 0, l + 8*u - 3*u - 5738 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:45 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 + sqrt(2) - (sqrt(2) - sqrt(128)*-3))**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3)**(-4\/15)*y*y**(-22)*y**(1\/37) assuming y is positive.\nAnswer: y**(-4028\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 6*f - 6*f + 2*f**2 - f**2 - 2*f**2 + (f - 2*f - f)*(1 + f - 1) + 2*f**2 + 0*f**2 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = -84*f - 877 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2976, 1657, -552, -3651?\n\"Answer: -445*x**2 + 16*x + 3405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32204.6 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 8*v**2 - 4*v + 4. Let m(y) = -3*y**2 + 3*y**3 + 6 - y**2 + 3*y**2 - 4*y**3. Let x be m(0). What is the tens digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134268878?\nAnswer: 2, 67134439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(28)\/sqrt(7)) - sqrt(5))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -8 - (-75)\/(-18).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -2*x**3\/27 - 19*x**2\/9 + 44*x\/3 - 1042. Determine d, given that h(d) = 0.\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44343 by 3.\nAnswer: 14781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12251?\nAnswer: 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1969, -2822, -3689, -4576, -5489?\nAnswer: -6434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**6\/3 - 149*g**3\/3 - 923*g**2\/2 + 2*g - 2288. Find the second derivative of j(h) wrt h.\nAnswer: 40*h**3 - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3485.21 rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 + 1194*i**3 - 336893*i**2 - 1714440*i.\nAnswer: -i*(i - 728)*(i - 471)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 160 = 186 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884.670767 seconds in weeks?\nAnswer: 0.0031161884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -19. Let z = 17.1 - i. Let r be (6\/(-7))\/(-1 + 88\/56). Which is the nearest to z? (a) 2 (b) -0.06 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 18 = -10*z. Let f be -3 + -4 + 3 - z\/5. Which is the second biggest value? (a) f (b) -0.1 (c) 4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950155?\nAnswer: 5, 17, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-4)\/(-2) + 1. Let j be -1*-4*a\/(-4). Let v = 2361 + -2364. Put j, v, 0 in descending order.\nAnswer: 0, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9962281787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5 + sqrt(208))**2)*2*1.\nAnswer: 80*sqrt(13) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 37*a**3 + 7*a**2 + 5*a + 5. Let j(h) = 37*h**3 + 6*h**2 + 4*h + 5. Determine 5*j(b) - 4*k(b).\nAnswer: 37*b**3 + 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/15326376 and -19\/1716?\nAnswer: 168590136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16*d + 6. Suppose 0 = t - v, -2*v = 2*t - 3*v - 4. Let r be o(t). Let g = -21 - r. Calculate the remainder when g is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*6 + (-1*sqrt(104)*3 - sqrt(104) - sqrt(104)))\/(sqrt(32) - sqrt(4608)*-4))**2.\nAnswer: 3757\/9604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250682553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 5*i + 15. Let a be k(5). Let w = 288 - a. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2861, -24883, -84633, -200975, -392773, -678891?\nAnswer: -1078193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -2. Suppose 0 = 8*a - p*a + 26. Let y be -3 - 11*a\/(-2). Round y to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 14\/17, 74.26 in decreasing order.\nAnswer: 74.26, 22, 14\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461481725 a multiple of 3432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2665*c + 2667*c + 2 - c**2 - 1. Determine u(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.54, -8, -4?\nAnswer: 1.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 516\/693 + 8\/(-12). Let w = j + -184\/385. Suppose 2*d - 5*d = 3*f, 0 = 3*d - 3. What is the closest to w in 0.4, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 2 - 99*j**2 - 89*j - 13*j**2 wrt j.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84040, 84037, 84034?\n\"Answer: -3*r + 84043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10184 in -4, 4, 1.94?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.035 != -679\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i - 92. Let b be w(-9). Solve 0 = 2*z + 2*q - b*q + 20, 3*q - 16 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-22)*(13 - 12) + 2\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 9*h = -13*h + 21, -5*k - h + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Suppose 4*k = -z + 136, -i*k - 2*k - 460 = -4*z. Suppose 0 = 3*m - 5*v - z, -138 = 2*m - 5*m - v. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -f + 3*a, 0*f + 4*f - 2*a - 36 = 0. Suppose -5*z - 10 = -f*z. Solve 0 = 3*g + 4 + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (277*z - 141*z - 2 - 157*z)*(-4*z - z + 2*z).\nAnswer: 63*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 92?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 46.5, 2\/7, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 813 (base 9) in base 2?\nAnswer: 1010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f = 2*w - 21, f + 3 = 0. Suppose x = -4*y - 8, -w*x = x - 2*y + 24. Let z be 27*(x\/6 - -2). Calculate the greatest common divisor of 12 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let u(y) = 1. Let n(q) = m(q) + 4*u(q). Is n(-5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o**3 - 4*o**2 - 16*o**3 - 11*o**3 - 13*o**2 + 41*o**3 - 6 + o + 2*o**4 as t*o**2 + r + v*o**3 + x*o**4 + q*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 4*c = -1492*o + 1496*o - 56, c = 7*o - 62 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*o**2*w**3 - 3*d*o**2*w**2 + 2*d*o**2*w - 2*d*o*w**3 - d*o*w - 20*d*w**3 - 16*d*w**2 wrt w?\nAnswer: 6*d*o**2 - 12*d*o - 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 1171485?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*5*((sqrt(117) - (sqrt(117) - (4 + sqrt(117)))) + -4)*-6)**2)*2.\nAnswer: 842402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5233550 is divided by 1559?\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 1. Let i be (1\/(-1) - -2) + 84 + -79. Let h(v) = -3. Give i*r(f) + 2*h(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.5, 0.2, 2.\nAnswer: 2\/23, 0.2, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 + 63592*w**3 - 190926*w**2 - 8966752*w + 9094085 = 0. What is w?\nAnswer: -63595, -11, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/7)*d*d\/(d**(-5\/4)*d*d)*(d*d**1)**(-6\/5)*((d\/(d**6\/d))\/d**(-5))**(-41) assuming d is positive.\nAnswer: d**(-5981\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3513 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 + -6. Let w = z - 0.2. Is -2\/3 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 6*q - 10. Let w be a(-4). Suppose -2*f - w + 26 = 0. Let i(z) = 4*z + 5. Let c(k) = 17*k + 21. What is f*c(h) + 9*i(h)?\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 657973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5793 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 7096\/(-40). Let j = -107 + 367. Let q = s + j. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + -35. Let n be (y\/(-30))\/((-1)\/3). Solve -j = -3*l - 0*l - n, 0 = -2*j - 4*l + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 56 = 34. Calculate the highest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 s, and 1 d when three letters picked without replacement from dddkddddddfddskdd.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 5. Suppose -2*t = -4*z + 52, -130 = 4*t + t - z. Let s be 88\/(-14) - t\/91. What is k(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k. Suppose -3*n + 538 = -5*w, 3*n + 81 = -2*w - 130. Let f = w + 123. Let o(z) = 36*z. Calculate f*y(q) + 3*o(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3423.91 decades in months?\nAnswer: 410869.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1178)\/(-8))\/(-19) + 27\/36?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/24)\/(1 - 58\/42)*4. Put 5, -5, -4, -6, p in ascending order.\nAnswer: p, -6, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -157*q**2 - 5805*q + 188. Determine b(-37).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 2144*v + 163985. Give c(83).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/5414028 and -91\/1062.\nAnswer: 958282956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 58*z**2 - 59*z + 23. Calculate a(-30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 251223 > 251225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -65*p - 8. Let k be n(2). Let x = k + 215. Is 77 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 - 3 = 3*w, w = 2*f - 3. Which is the third biggest value? (a) 3 (b) 2\/15 (c) -3\/2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 10*j**3 + 9*j**3 + 0 - 2*j**3 + 2*j to g*j**3 + s*j**2 + y + x*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 7. Let d(n) = -n + 5. Let y(i) = -5*d(i) - 6*f(i). Let x = -5 + 8. Calculate the remainder when y(-2) is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 12. Let z(w) = w**2 + 7*w + 1. Let s be z(-5). Let j be v(s). Let d = j + 15. Calculate the remainder when 52 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c + 20 = 0. Suppose -d = -2*l + 5 - 21, d = -c*l - 14. What is the third derivative of d*n - 3*n - 3*n + 8*n**5 - 6*n**2 wrt n?\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 1680*j + 473600\/7.\nAnswer: -2*(j - 5920)*(j + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 20*n**2 + 9*n + 10 + 18*n + 18*n = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s. Let b(g) = -2069 + 41*g + 2069. What is b(z(l))?\nAnswer: -82*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/61686053 and 4\/715?\nAnswer: 308430265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 2*b - 1. Let t(f) = -f**2 - f + 1. Let x(g) = -d(g) - 2*t(g). Let n be x(-1). Suppose -n*a + 2 = -2*a. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 154?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(32)\/sqrt(4)*5)\/sqrt(4) - (3 + sqrt(18)\/((sqrt(63)*2 - sqrt(63))\/sqrt(7))).\nAnswer: -3 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008879068.\nAnswer: 2, 252219767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + (-5*(1 + sqrt(405)) + 2*sqrt(405)*-6 - (-4 + -2*sqrt(405) + -4)))**2.\nAnswer: -1350*sqrt(5) + 91147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362979477?\nAnswer: 3, 7, 19, 71, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(170)*5)\/(sqrt(90)*-2).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*j - 994 - 4046. Let u(k) = 4*k**2 + 5*k + 12. What is the smallest common multiple of u(-4) and j?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 21689 - 19542 + 32813 = -114*g for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -173.\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-4 + (sqrt(200) - sqrt(200)*1) + sqrt(200))**2 - (sqrt(242) + (sqrt(242) + 0)*-6)**2) + 1)*2.\nAnswer: -11664 - 160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2\/3 (c) -2\/5 (d) 148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41696.23m in kilometers?\nAnswer: 41.69623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-104)\/(-2) - (8 + -12). Let g be 12\/7 - (-16)\/h. Let n = 21 + g. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233263589 = 14*a - 52336411. Suppose 10*q - 12*q = -a. Round q to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-138) + 222\/(-2553)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -22. Let s = 545 + -543. Suppose 0*z + 2*z = v, s*w - 212 = 4*z. Does 38 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (44 + (-30 - -6)) - 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2.3, -5440, -1.\nAnswer: -5440, -1, 2.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290221 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 2*h**7\/315 - 7*h**6\/45 + 16*h**5\/15 + 7*h**4\/9 - 98*h**3\/9 + 398*h**2. Let j(f) = 0. Calculate f.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10111110?\nAnswer: -11000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/((-2)\/10). Suppose 2*k - 1 = 11. Let j = k + f. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2))\/h*h)**(-39))**(-5\/4) assuming h is positive.\nAnswer: h**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - a + 27. Suppose 6*q - 3*q - 2*t - a = 0, -5*q = 5*t - 15. Solve 0*y + q*o = 2*y - 11, 4*o = -y - 22 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 11*d + 35*d - d - 46 - 18*d.\nAnswer: -4*d - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44563?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -33692*k**2 + 4*k. Let x(f) = f**2. What is m(x(h))?\nAnswer: -33692*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*i + 1 + 4, x = -i - 3. Let z be -2 + -70*i\/(-4). Let r = -12 + z. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h - 170*h = 2*n - 12, -12 = -4*h + n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1\/8, -307?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -4.9. Let u = 323 + -14522\/45. Let o = -2\/45 - u. What is the closest to y in -3, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 26*l**2 + 9*l + 69. Let h(b) = 15*b**2 + 4*b + 34. Let a(u) = 7*h(u) - 4*n(u). Give a(9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 1. Let t = 70 - 68. Let p(g) = 2*g + 3. Let q(v) = t*p(v) + 6*r(v). Let s(j) = -j. Calculate q(s(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 14*q = -6*q. Suppose -7 = -3*d - 5*n + 7, q = -d + 3*n. What is the greatest common factor of 69 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -1 (c) 0.1 (d) 231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013021 (base 4) to base 7.\nAnswer: -52105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 5*n**2 - 6*n - 6. Let i be j(-6). Is (-38)\/2*(5 + i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 550, 569, 602, 649, 710, 785, 874?\n\"Answer: 7*h**2 - 2*h + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 149*q - 5. What is the hundreds digit of c(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 67885 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8264*k**4 + 4*k - 259230.\nAnswer: -33056*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppdpppdppppzpp. What is prob of picking 2 p and 2 d?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, 1\/1747, -347?\nAnswer: 1\/1747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -62.302?\nAnswer: -62.302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23123033310 (base 4) in base 3?\nAnswer: 12122011121220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/4 - 122*w**2. Let y(k) be the third derivative of -k**4\/12 - 167*k**2. What is y(z(t))?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*g + 9 = 0, -367*x = -285*x - g - 1392 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 423\/36) + 8 - 5\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (0 + 1*sqrt(147)))**2 - (sqrt(147) + 2*(sqrt(147) + 0) + sqrt(147)).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 655362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 + -1 + 1. Solve -v - m*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.82911km to nanometers.\nAnswer: 39829110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) -2\/15 (c) 7232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w - 3*j = 570, -438 = 3*w - 3*j. Let o = 22 - w. List the prime factors of o.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 1470?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**2 + 35*b - 423*b**3 + 1169*b**2 + 32*b - 67*b wrt b.\nAnswer: -2538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8891.\nAnswer: 17, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3206 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*f**2)*(2*f + 2 - 2) + (-3*f**2 + 4*f**2 - 2*f**2)*(-1 - f + 1) - 2*f + f**3 + 2*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33833 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2146 - -2149. What is the fourth biggest value in q, 0.2, -0.98, 0.1?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278723 and -153?\nAnswer: -42644619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1440 by 80.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -118049\/17 or -6945?\nAnswer: -118049\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4960855, -9921707, -14882559, -19843411, -24804263?\n\"Answer: -4960852*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5*x**4\/4 - 35*x**3\/3 + 75*x**2\/2 - 45*x - 6. Find z such that d(z) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-189) - 22\/(-99)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 - 9*p**2 - 16*p + 60 = 0.\nAnswer: -3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Suppose c*x + 21 = 6. Sort x, 0, -1.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*sqrt(140))\/sqrt(7) - (sqrt(20) + -4*sqrt(80)))*-3.\nAnswer: -36*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470381099 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 m(d) = -d**3 - 39*d**2 - 204*d - 72. Does 88 divide m(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -171.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32215 + 6*i - 32215.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in -1\/5, 2, 2\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104746, -104762, -104782, -104806, -104834?\nAnswer: -104866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313780*l - 313756*l + 627498*l.\nAnswer: -38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (300\/(-210))\/(-5)*77\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*r + 8 - 8*r - 2*r + 87 + 5*r as d + t*r and give d.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6 - 4 - 2 - 2*g. Let d(y) = 6*y. Determine r(d(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*f**3 + f**3 - 3*f**3)*(2*f - 2 + 2) - 38*f**2 - 56*f**4 + 38*f**2 + (-f**2 + 3*f**2 + 0*f**2)*(0*f - f**2 + 0*f))*(5 - 4 - 2).\nAnswer: 62*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 4*y - 12*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d**2 + 1. Let t be g(1). What is the units digit of t\/8*12\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3857*k**3*n + 57*k**3*w - k**2*n*w - 127*k**2*w + 33*k*w + 2*k - 4*n*w - n wrt k?\nAnswer: 23142*n + 342*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 5:19 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11 (b) -0.7 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 3*u - 10 = 0, u = 0. Suppose 0 = 5*k - j, -k + 4*k = -c - 3. Let r(y) = 3*y**3 - 4 + 0*y**3 + 6*y**2 - 2*y**3. Calculate r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 21 = u, u + 2 + 11 = -2*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z - 5*z - 2*z**2 - 76078 - 339*z**4 + 76074 to u*z**2 + j*z + d*z**4 + a + o*z**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/((3 - 7)\/(-4)) + -4. Which is greater: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*p*q**2 - b*p - 690*b*q**2 + 2*b + 536*p*q + 36*q**2 wrt b?\nAnswer: 3*p*q**2 - p - 690*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -194 - (-5 - -1). Suppose -2*d = -5*b - z, -14*d + 305 = -11*d - 5*b. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12879 + 12882. Sort 1, 5, 719, -4, y in decreasing order.\nAnswer: 719, 5, y, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1627887 is divided by 1389?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 - t - 33. What is i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25711, 9, -2, 2, 4.\nAnswer: -2, 0, 2, 4, 9, 25711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7145724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1*1)\/(4\/(-12)). Let w(s) = s + 1. Let k be w(u). Suppose k*c - 79 = 2*q + q, -4*q = -3*c + 54. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113160, 452536, 1018162, 1810038?\nAnswer: 2828164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1052.36 and -0.115.\nAnswer: 1052.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74461 - -28?\nAnswer: -74432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 8. Let y(m) = -3*m - 7. Determine 5*o(f) - 6*y(f).\nAnswer: 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 9*y**2 - 10*y + 4. Suppose -3*s + 6 = q - 4*s, 0 = 5*q - 3*s - 28. Suppose -f - 15 = q*a, -6*a - 5 = -a. Give n(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 859553011 to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)\/o)**(-2\/3)*o*o**(-6\/13)*o**(-7\/5)\/o)**4 assuming o is positive.\nAnswer: o**(-3764\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 475372.6 millilitres to litres.\nAnswer: 475.3726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28281490 is divided by 3495.\nAnswer: 3445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 36*c**2 + 101*c + 28. Let r be j(3). Let b(k) = -2*k**2 + 3*k + 3. Let w(g) = 15*g**2 - 6*g - 4*g - 20 - 10*g. Calculate r*b(y) - 3*w(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + p**2 + 3*p**2 + (0 + p + 0)*(-5*p - 10*p - 24*p) + 0*p**2 + 3*p**2 - 6*p**2.\nAnswer: -37*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 a, and 1 s when four letters picked without replacement from {a: 2, n: 2, s: 1, m: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4571441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/11 and (1\/20)\/(2\/345)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 + 1 + (3 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*g + 9 = 27*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1111295100 to the nearest 1000000.\nAnswer: 1111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 14. Let a be b(13). Let t = a - -13. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -242.7 + 243. Let d = 5 + -5.5. Put 3, 0.1, r, d in increasing order.\nAnswer: d, 0.1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 129 + (4 - 3) + -1. Suppose -2*u = u - w. What is u rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i. Let m = -4 - i. Let z = 713\/9 - 7913\/90. Calculate the common denominator of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82573*x - 82590*x = 272 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387 - 16*i + 35*i - 16*i + 85 - 12*i to the form g + y*i and give g.\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105.4754 + 0.5646. Let h = w - 108. Let y = h + -0.04. Which is the nearest to y? (a) 1 (b) -0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22964008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1053 - -1337. Which is the nearest to -1\/2? (a) u (b) -0.4 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51008851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -235994493*w**2*y**3 + 52954*w*y**3 - 2*w*y**2 + 563*y**3 wrt w?\nAnswer: -471988986*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 - 57. Find the second derivative of -13*p - 13*p + 20*p**k + 40*p wrt p.\nAnswer: 400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19210? (a) -4 (b) 5\/4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 12) to base 5\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - (-78)\/12)*4. Solve f = -2*g - 12, 5*f - 3*g = a*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-552 - 104 + 132 - 66)*(0*u + 6*u - u)*(-3 - 4 + 5) to r + w*u and give w.\nAnswer: 5900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*o - 2*o. What is the common denominator of (-1953)\/930*(-6)\/4 - 4 and 26\/(-7)*(-1)\/o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -183*n + 2223. Calculate the least common multiple of ((-7)\/(-3))\/((-1)\/(-9)) and w(12).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 + 100*k**3 - 90*k**2 - 100*k + 95 = 0. Calculate k.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.77 + -0.57. Let q = l - 9.1929. Round q to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 12122201011?\nAnswer: 12122201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.636 + 12.336. Let r = -21 - -21. Which is the nearest to -5? (a) 1\/19 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 10.8. Which is the second biggest value? (a) x (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 82*v - 5. Let x(s) = 40*s - 3. Determine -3*a(d) + 5*x(d).\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15686216)\/(-60) - 65\/(-975) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 7:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 327, 663, 1025, 1425, 1875, 2387?\nAnswer: 2973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let j be z\/(-3) + 0 + -1. Suppose -3 = -5*g + 2. Sort j, -1, g.\nAnswer: -1, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**5\/5 + 203871*p**4 + 86597010216*p**3\/5 + 1125629639592*p**2\/5 + 3463387054896*p\/5 + 3117015323568\/5 = 0. What is p?\nAnswer: -169886, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/(-4) - (-1)\/(-2). Let k = 319 - 315. Let x(p) = -k - 7*p + o*p - p. Give x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8884*i + 20868 wrt i?\nAnswer: 8884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 20*y + 11. Give j(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289\/20 - -76\/5. Factor y*z**2 + 3\/4*z - 3\/4 - 3\/4*z**3.\nAnswer: -3*(z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 5*w + 15, 30*y + 22 = 32*y - 5*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 132.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19342, 19349, 19356, 19363?\nAnswer: 19370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*a = -277, 4*a - 3*a - 559 = -2*c. Suppose -4*n = 2*s - c, -2*s - 224 = 3*n - 6*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12735719 (b) 2\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138 - 138 - 9*n**3)*(-5*n + 2*n + n) - 2 - n**4 + 2 + 0*n**3 - n**4 + 0*n**3 - 3*n**4 - n**4 + 5*n**4 + (4 + 3 - 5)*(-2*n**2 + 2*n**2 + 2*n**4).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(847))**2 + 4 + ((sqrt(28) - (sqrt(448) - sqrt(28)))*-4)\/((sqrt(4) + sqrt(4)*2)*-2).\nAnswer: -4*sqrt(7)\/3 + 190579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11482, -22975, -34468, -45961, -57454?\n\"Answer: -11493*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*k**2 - 420*k**2 + 918*k**2 + (3 - 5 + 1)*(0*k**2 - k**2 + 3*k**2) + 3*k**2 - 3*k**2 - 3*k**2 as z + f*k + n*k**2 and give n.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2409485 (base 12) in base 8?\nAnswer: -32507545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*z - 66*z - 59*z + 184*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = y - l - 2*l, 2*y - 3*l = -12. Suppose -4*h + 3*r + 345 + 113 = y, 3*h + 2*r - 335 = 0. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {m: 6, t: 3, a: 1, x: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31961 is divided by 10566.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 73928668?\nAnswer: 73928668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 divided by -22?\nAnswer: -127\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2882*x**3 - 38*x**2 - 1 - 35*x + 2885*x**3 - 5766*x**3 to the form w + i*x**2 + z*x**3 + m*x and give m.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (780\/(-48))\/(-65)*40\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/84*4*5\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/9 (b) -6 (c) -42\/11 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p + 3*p + 14*p - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Suppose 5*g - i*g = 2. Suppose -4*u - 26 - 28 = -g*d, -d + 24 = -5*u. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -96\/5 (c) 0.1 (d) 2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7650 and 2625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 + l**3 + 3*l**3 - 7*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 10.9. Let z = -1 - x. Which is greater: 2\/3 or z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1814 (b) -22\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 319 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-24)*(-64)\/(-24)*8\/(-42).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -11. Let x(y) = 9 - 4 - 71*y - 60*y. Is x(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4*g**2 + 1 + 3*g**2)*(-5*g - 2 + 2).\nAnswer: 5*g**3 - 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 0 + 2799 + (-8)\/(-32)*8?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -404 - 2?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djd when three letters picked without replacement from jddjddcdddcd.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**2 - 122*o - 481. Give g(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10473923898 to three dps.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 p when four letters picked without replacement from hpphpppphppppppp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -27. Suppose 0 = c*t - 12*t + 55. Calculate the smallest common multiple of t and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 1. Let d be t(-2). Let w(q) = 9*q - 7. Let r be w(d). Calculate the greatest common divisor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46333, 47380, 48427, 49474?\nAnswer: 50521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (5408\/(-24) + 0)\/((-2)\/3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4700, -9343, -13998, -18671, -23368, -28095?\nAnswer: -32858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavvaa. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3 + 3 + 0 - 4*j. Let k(t) = 3*t - 6. Let n(u) = 5*k(u) + 4*o(u). Let w(h) = 2*h + 11. Calculate -11*n(b) - 6*w(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/36384 and 29\/54576?\nAnswer: 109152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let o(k) = 31*k + 54*k + 367*k + 192*k + 34*k. Determine o(u(s)).\nAnswer: -678*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (36 - (43 - 28) - 83)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56a68 (base 11) to base 16\nAnswer: 1422b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-6) + (-784)\/(-84)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2540760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -107 - -141. Suppose -4*y + h = 14. Suppose -y*o = -745 - 360. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**3 + 925*h**2 - 1473*h - 1842. Let p(z) = -3*z**3 - 924*z**2 + 1395*z + 1842. Let q(b) = 7*p(b) + 6*t(b). Factor q(l).\nAnswer: -3*(l - 2)*(l + 1)*(l + 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -25) + 6 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/4 and -15\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 - 2. Let z be (-2)\/21*(-3)\/(-2). Which is the closest to y? (a) z (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 757*z. Let q(f) = -f**2. Give q(v(o)).\nAnswer: -573049*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.1 - 12. Let l = 5.3112 + -0.1112. Let r = l - n. What is the smallest value in r, -0.3, 0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193\/4 - 48. Let l be (-14931)\/693 - (-12)\/22. Which is the nearest to q? (a) -2 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336645670 rounded to the nearest 1000000?\nAnswer: 337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6*11\/440 + (-4)\/16\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 25. Suppose -y*g + 3 = -6. Calculate the highest common divisor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + (-540)\/(-63))*-7. Let v be (t + (-133)\/42)*(-63)\/6. Let -1\/4*o**2 + 2 - v*o = 0. Calculate o.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(0*d**2 - 2*d**2 + d**2) + (0*d + d - 2*d)*(0 + 1 - 3)*(0*d + d + 0*d)*(-35 + 6 - 41) to the form s*d**2 + c + p*d and give s.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d*d*d)\/(((d\/(d\/(d\/d**(-6))))\/d)\/d))\/(d**(-20)*d**(-28)*d) assuming d is positive.\nAnswer: d**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37409.3 nanometers in centimeters?\nAnswer: 0.00374093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 30. Suppose -3*g + 3*r = -q - 6, 0 = -2*g + 5*r + 27. Suppose 16*n + 1105 = 1217. What is the greatest common factor of n and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*g**2\/6 - 1089*g\/2 - 8077\/3.\nAnswer: (g - 197)*(17*g + 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20143 + 20145. Let d = -2.5 + 2. What is the closest to -3.4 in 5, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-13))\/k*(k*k*k*k**(-2\/17))\/k assuming k is positive.\nAnswer: k**(-189\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:43 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -19 - (-20 - -38 - 23). Sort l, 0.2, -2, -2\/7, 0.05 in increasing order.\nAnswer: l, -2, -2\/7, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20 (b) 472259\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*h = -412*h + 504 + 3096 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -311113024 (base 5) to base 14\nAnswer: -250a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 2)*(-17*q**2 - 6*q**2 - 4*q**2) - 3*q**2 - 3*q**2 + 2*q**2 in the form j*q**2 + r*q + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 141*d**2 + 12*d + 564.\nAnswer: -3*(d - 2)*(d + 2)*(d + 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - 30*m**2 + 6*m - 6. Let s(i) = -i**3 + 6*i**2 - i + 1. Let t(o) = -j(o) - 5*s(o). Let y(f) = 8*f**3 + 10*f - 6. Calculate 6*t(r) + y(r).\nAnswer: 2*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9 - 1 - 5 + l. Let t = 10 - 7. List the prime factors of j(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 2044, 3125, 4206, 5287, 6368?\nAnswer: 7449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, o: 4, z: 1, m: 2, s: 2, w: 2}. What is prob of sequence oz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-4))\/((-105)\/140). Suppose 4*r - 6 = -m. Calculate the smallest common multiple of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -4. Suppose x*f - 110 = 5*s - 20, 5*f - 2*s = 183. Suppose 5 - f = -2*u. Solve 0 = 5*t - 5 + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let k = z - -24. Let i = -7 + 21. Calculate the least common multiple of i and k.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4045 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-30))\/(40\/(-50)). What is the biggest value in -0.9, -0.4, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-68)\/(-10) + -6)\/((-4)\/(-10)). Solve -s*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17832 divided by 4?\nAnswer: 4458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53457145.\nAnswer: 5, 7, 1527347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/12 and 4\/(56\/(-31)) - (-6)\/(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1654331 and 245?\nAnswer: 57901585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 47*c**2 + 265*c + 57. Is 25 a factor of o(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 111 - 84. Calculate the remainder when 75 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*w**2 + 6\/5*w**3 + 0*w + 0 = 0. Calculate w.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/13524 and ((-142)\/(-21))\/(60\/35) - (-19)\/(-57)?\nAnswer: 40572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 13 = 4*d + 1, 28*v = 31*v - 2*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6698982 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 669 = -n. Suppose -2*v + 62 = -2*u, 5*u = 57*v - 56*v - 55. Let m = v - n. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = 3*x - 4*m + 30, -3 = 2*x - 3*m. Suppose -11 = 5*l + 4, 0 = 4*i + 2*l - 2. Let p(u) = i - u - 2. Let q(j) = -j**2 - 6*j. Calculate x*p(a) + q(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + o + 1, -4*r + 6*o = 2*o - 4. Suppose 4*c - 4*q - 1212 = 0, 5*c + q - 857 - 682 = r. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*u**5 - 100*u**4 - 3*u**2 + 29539*u + 20 wrt u?\nAnswer: 3280*u**3 - 1200*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - c. Let w be d(-1). Let u be (-24)\/70 - (-1)\/5. What is the third smallest value in w, 1\/2, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-60)*(-1 + 14\/10)*20. Which is the biggest value? (a) t (b) 4.7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*t + 606, 2*l + 2*t = 242 + 166. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1388)\/(-6)*(-11223)\/(-258) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-25))\/(2\/(-5)). Let z(w) = -12501*w**2 - w + 2. Let b be z(j). What is b rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91048 is divided by 2862.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 78?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537486, 537475, 537464?\nAnswer: 537453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 355 + -337.1. Let u = -16 + y. Let g = u - 2. Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 4*x**2 - 4*x**2 + 7*x - 7*x - 21*x**4 - 2*x + 2*x - x**4 + (-3*x + 3*x + x)*(2*x**3 + 0*x**3 + 0*x**3).\nAnswer: -23*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 1:09 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 - 11)*(-2 + f + 2 + (2*f - 2*f - 2*f)*(-2 + 1 + 2)) as j + t*f and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*k = -7*g - 20, 0 = -4*g - k - 4. Suppose -3*y - 4*m + 1412 = g, -1414 = -3*y - m - 4*m. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than -0.3308521958081?\nAnswer: -0.2208521958081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 0*f + 4*f - 3*f**3 + 3*f in the form s*f**3 + x*f + c + z*f**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 404937, 809891, 1214883, 1619931, 2025053, 2430267, 2835591, 3241043?\n\"Answer: 3*j**3 + j**2 + 404930*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 3*y**2 + 2*y - 2. Let f be i(2). Let x = f + -2. Calculate the remainder when 7 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3, 14, 6, -43, 2.\nAnswer: -45, -43, 2, 3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.3. Let o be -1 - (-6)\/10 - (-5772)\/(-30). Let n = o + 192. Which is the smallest value? (a) h (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*j + 6 + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*v + 6 + 0 - 4)*(-2 + 2 - 1) as i + a*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 7 = -4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1534 and 494?\nAnswer: 29146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -108257, -216774, -325281, -433772, -542241, -650682, -759089, -867456?\n\"Answer: z**3 - z**2 - 108521*z + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -60 - -64. Suppose -n*m + 103 = -93. Suppose 0 = j - 0*j - 7. Calculate the highest common factor of j and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from {m: 1, g: 1, f: 1, b: 1, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20627a + 122?\nAnswer: -206158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -21. Let q = -88 + w. What is the common denominator of (-9)\/18 - (-117)\/22 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 23*b + 299. Is 50 a factor of g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k - 2*k + 421*k**3 - 229 + 228 - 2*k**2 + 5*k + 645*k**3 in the form o*k + p + a*k**2 + m*k**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1 = 2*p - 2*s, 3*s = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.43 + -1.37. Which is the closest to -1? (a) t (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.23 (b) -2 (c) -20172\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)*u**(4\/5)*u\/(u**(-8)\/u)*u*u**(-5) assuming u is positive.\nAnswer: u**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(15\/2)*(-515)\/721.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -43584*y**2. Let x(m) = 7*m**2. Give x(r(i)).\nAnswer: 13296955392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 88380 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgrgglggrl. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/4*(2046\/572)\/(-93)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/126 and -37\/399?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2360709630 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g + 4*c - 4 = 45*g, 5*c - 1466 = 3*g - 1467 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1970 and 245?\nAnswer: 96530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -51.6. Let q = i - -4. Let g = 6.7 + -7. Which is the smallest value? (a) q (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from rxztmztfzttz.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-22*a - 31*a + 19*a)*(3*a**3 - 7*a**3 + 0*a**3).\nAnswer: 272*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w + 17*w - 7*w + 2*w + (1 - w - 1)*(4 - 5 - 1) - 3*w - 4*w + 6*w)*((-w - 4 + 4)*(-2 + 1 + 3) + 0*w - w - w + 0*w + 2*w + 0*w + 2*w - w - 2*w).\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 6*l - 1. Let c be w(5). Let d = -4 + c. Suppose d = -g + 3*g - 2. Solve -z = 3 - g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 16*o**2 - o - 5. Suppose 5*z + 24 + 16 = 0. Let w be u(z). Suppose 3*c + 458*c**4 - 461*c**4 - w*c = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-352)*20\/(-6).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -1, 1, -5, -2 in descending order.\nAnswer: 1, -1, -2, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w. Let n(c) = -c**3 + 17*c**2 + c - 14. Let i(d) = n(d) + 3*x(d). Is i(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/99 - (-47)\/9. Solve 2*o = -5*c - o - 19, 4*c = y*o - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 7506125\nAnswer: -6\/7506125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8889*r - 120 = -5*c - 8894*r, 0 = -4*c + 45*r - 1031 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -538 + 627. Find the first derivative of -127*y + 78*y + 118 - 98*y - c*y wrt y.\nAnswer: -236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o - 9353*o**3 + 4288*o**3 + 4464*o**3 to m*o**2 + d*o + j + t*o**3 and give t.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 847 - 3.79825382?\nAnswer: 843.20174618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180775 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 973, 1986, 2999, 4012, 5025?\n\"Answer: 1013*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291357 and 17871678?\nAnswer: 1948012902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 150, 2, 0, 1, 4 in decreasing order.\nAnswer: 150, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 279\/(-135) + 2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 6035*g**3 - 12090*g**2.\nAnswer: 5*g**2*(g - 2)*(g + 1209)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = -d + 7*d. Suppose -w + 5 = -101. Let q = w - d. What is the common denominator of 34\/5 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35209831.3923 + -0.0101.\nAnswer: 35209831.3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:22 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w. Let z(x) = -14*x**2 + 14*x - 36. Let l(v) = 10*h(v) + z(v). Suppose l(q) = 0. What is q?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 110010?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*o**3 - 51*o**3 - 55*o**3 - 55*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 3 - 7)*(0 - 2 + 0) - 2 - 5 + 5)*(3 + 6 - 4)*(3*m**5 - 5 + m + 5).\nAnswer: -120*m**5 - 40*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 84 = -2*d, -3*p = -2*d + d - 46. Suppose 0 = -2*q - 0*q + p. Suppose -5*n + q = -h - 3, 4*n - h = 9. 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 31*u - 31*u + 3*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*p + 2 - 2)*(-2*p**2 + 3*p**2 + p**2) - p**3 + 0*p**3 + 0*p**3)*(-7 + 9 - 110 + (-1 + 3 - 3)*(3 - 2 + 1)).\nAnswer: -330*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -27 + 10*l + 37 + 5*l + 0*l**2 + 5*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(84) + -2*sqrt(84)))\/(-5*1*sqrt(7)))\/(((sqrt(72)*-2 - sqrt(72))*1 + sqrt(72) + sqrt(72) + sqrt(72) + sqrt(72))\/sqrt(1200)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 7*b + 1 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 7:53 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 454, 466, 494, 544, 622, 734?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-2)\/(-18)). Solve -j = -5*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -29.9. Let z = 0.9 - p. Let t = 5.00000022 + z. What is t rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 127367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 95\/4 (b) -0.02 (c) 3\/5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = -3*a. Let l = a - -15. Suppose d - l = 4. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10610388*d**4 - 6765*d**2 + 148*d.\nAnswer: -254649312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7626992 millilitres in litres?\nAnswer: 0.0007626992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/350385421?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*q = 7*c - 18, -3*c = -5*q + 12. Calculate the greatest common divisor of c and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 12, -2\/609, 2\/227, -0.2?\nAnswer: -2\/609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159445, -159446, -159447, -159448, -159449?\nAnswer: -159450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -95, 1, -17, 5?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1853 and 101043?\nAnswer: 1717731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.96 + 0.96. Let o = -87.7898 - -190.7839. Let h = o + r. Round h to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujujujuujjjuj. What is prob of sequence jju?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/441526 and 79\/6.\nAnswer: 1324578","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 129, 284, 501, 780, 1121?\nAnswer: 1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 + t + 5. Let y be a(0). Let k(h) = 75*h + 1278. Let s be k(-17). Suppose 0*l - 87 = -3*l. Solve s*n = -n + 3*c, l = -3*n - y*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19\/(-2))\/((-3)\/150). Suppose -2*b = -7*b + z. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*q)*(123 + 48 + 53).\nAnswer: 448*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -39 - 23. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/3276)\/((-1)\/(-98)*42)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a**2 + 140*a - 1446. Let b be t(9). Calculate the highest common factor of 1007 and b.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 10 - 48. Suppose 45 = b + 4*b, -548 = -5*p - 64*b + 67*b. What is the remainder when p is divided by z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -933255\/22 - -42428. Is 7 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllglllgll. Give prob of picking 2 g and 2 l.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225.69 - -4.69. Let h = a + 216. What is the nearest to 0 in 0.27, -0.3, h?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*n = -25, -4*i - n + 5*n - 40 = 0. Suppose 4*k - 5 + 25 = 0. Is k less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10384711370 rounded to the nearest 100000?\nAnswer: 10384700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3433371 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppqppq. Give prob of sequence qqp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 241? (a) 0.04 (b) -65 (c) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 69*t**4 - 6*t**3 + 5*t**2 - 1762*t + 12. Let p(g) = 2*g**4 - g**3 + 2. Let i(a) = -h(a) + 6*p(a). Find the second derivative of i(z) wrt z.\nAnswer: -684*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(0 + -8))\/(2\/432) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p + 5*p + 6*p - 45*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131833423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8403 - -8407. Solve 35*j = -y*t + 40*j + 9, t - 4 = 3*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 13005*q**3 + 1839705*q**2 + 88969055*q + 1443553230.\nAnswer: 5*(q + 49)**3*(q + 2454)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1849279.9999975 - 1849278. Let c = j - 2. What is c rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.5884 millennia to months.\nAnswer: 3103060.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2187 <= 2198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25, -26, -27, -28, -29?\n\"Answer: -v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 760852566?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -545 + 543. Let y(m) = 101*m**2 + 2*m + 3. What is the units digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 540749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/20847810 and -52\/1078335.\nAnswer: 62543430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let k(x) = -100 + 36*x + 193 - 98. Is k(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 4. Let q(y) = y - 13. Let j be q(s). Let m(n) = n**3 + 5*n**2 + 3. Let h be m(j). Calculate the greatest common divisor of 24 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -72\nAnswer: -7\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445737 to the power of 1\/2, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/8079164 and 37\/10.\nAnswer: 40395820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-9)\/15)\/(-3)). Let t = -4.08 + 0.08. Let p = -0.03 - -0.23. Which is the nearest to -2? (a) t (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 5*x - 5. Determine h(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-27))\/((-364)\/(-819)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15282571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, p: 1, k: 2}. Give prob of picking 1 p and 2 k.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/11 - 609782*s\/11 + 92958521881\/11.\nAnswer: (s - 304891)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 16*w - 4. Let m be f(-16). Let x be (-64)\/(-24)*(-6)\/m. Suppose -x*q + 28438 = -51562. What is q rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 1. Let c(o) = 55*o**2 - 2*o + 14. Let w(z) = -6*b(z) + c(z). Find the second derivative of w(v) wrt v.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 57*r + 0 - r**2 - 3*r**3 + 0*r**4 - 17\/42*r**7 + 0*r**5 + 0*r**6. Find the second derivative of v(u) wrt u.\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b + 14278. Let g(j) = -2*j + 4751. Give -11*g(s) + 4*l(s).\nAnswer: 2*s + 4851","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*m + 2*u - 117, -311 = -3*m + 2*u. Differentiate -107*t + m*t + 27 + 21*t**4 with respect to t.\nAnswer: 84*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 94, 296, 694, 1354, 2342, 3724?\n\"Answer: 11*q**3 - q**2 - 2*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16*1)\/(15\/(-100)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 320 = -3*p, 2*p = 5*p + 5*m - 340. Let l = 309 - 282. What is the remainder when p is divided by l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 203700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9761, -9504, -9075, -8474, -7701, -6756, -5639?\n\"Answer: 86*b**2 - b - 9846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1802*r**3 + 1797*r**3 + 1809*r**3 - 5386*r**3.\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**6\/90 + k**5\/30 + 8*k**3 - 41. Let n(g) be the third derivative of p(g). Determine r, given that n(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*m + 35, -2*i + 6 = -0*m - 2*m. Let w be (0 - 6\/(-3))*m. Suppose 0*r = w*r. Which is the nearest to 2\/3? (a) -2\/13 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/24)\/((-2)\/(-12)*1). Does 3 divide (18 + -2)*(-36)\/(-32)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8860272km to micrometers.\nAnswer: 886027200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 539, 552, 527, 464, 363, 224, 47?\n\"Answer: -19*g**2 + 70*g + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 246 = -w, w + 39 = m + 301. Does 38 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3452? (a) 0.06 (b) 4\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:31 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*p + 4. Suppose 0 = l - p*l. Factor -1\/5*u + 1\/5*u**4 + l + 1\/5*u**3 - 1\/5*u**2.\nAnswer: u*(u - 1)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 26, 7, -42, -127, -254, -429?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3621977?\nAnswer: 3621977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38057 - 38053. Solve 57*v - 55*v + 8 = l*d, -4*d + 16 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188 + 21*b + 3*b - 213 - 4*b**2 - 164*b - 95.\nAnswer: -4*(b + 4)*(b + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*w + 2*k, -5*w - 38 = 3*k - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 12:57 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - ((-2 - 0) + 6 + -124 + 119).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6324)\/(-816) + -14*1\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/27133 and 20\/5679.\nAnswer: 244197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 25*j**6\/12 + j**4\/4 - 14*j**3\/3 + 171*j**2. What is the second derivative of g(h) wrt h?\nAnswer: 1500*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i. Let j be d(-1). Let n = -4 + j. Solve r + n = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u + 2940 = 46*u. Calculate the greatest common factor of 147 and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + (-11)\/(-3 - 8). Solve -2*q = 6 - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 4*t**2 - 4*t**2 - 19*t**2.\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 245.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155942736.\nAnswer: 2, 3, 3248807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100110001 (base 2) in base 7?\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/((-6)\/(-3) - 3). Suppose d = -2*j + 3*j. Find the third derivative of 0 + j + p**4 + 2*p**2 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -17*g**4\/24 + 461*g**3\/6 + 2*g**2 - 212. Let d be x(27). Solve 3*q + 2*o = -4, -3*o = -4*q - d*o + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -811 + 1094. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**2 - 53*h + 24. Let k be g(7). Let d(o) = -2*o - 5 - 2*o**3 + o**2 + o**2 - 6*o**2. Does 6 divide d(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 + (-26505)\/(-38))*(9 - 1). Calculate the greatest common factor of a and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6, -20, -34, -48, -62, -76?\n\"Answer: -14*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - 7a5?\nAnswer: -836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 4*k. Let m be j(-5). Let v = 1 + m. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**5 + 34*g**4 + 140*g**3 = 0.\nAnswer: -10, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let m(y) = 2 + 11*y**2 - 2. Determine h(m(o)).\nAnswer: 242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2)\/(-6 + 2). Suppose -38*i + 34*i + 424 = f. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -274116454?\nAnswer: 274116452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**3 - f**2 - 2*f + 5. Let p be o(0). Suppose 2*w + 5*q = 2187, 128 - 3396 = -3*w + p*q. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -2 + 38 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -47*a**6\/10 - 58*a**2 + 41*a - 45. Let m(d) be the first derivative of r(d). Differentiate m(g) wrt g.\nAnswer: -564*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/47 - -51\/94. Suppose 2 = f - 2. Let x be 0\/((-3)\/((-6)\/f)). Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149473 > 149474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 j when three letters picked without replacement from {x: 2, o: 2, t: 4, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*l - 3*v, l + 5*v = -l - 7. Let d be (6\/(-20))\/(-29 - -28). Is d greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**5 - 35*g**4 + 49864*g**3 - 203598603*g**2.\nAnswer: -900*g**2 - 840*g + 299184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 7*m**2 + 1 + 6*m + 5 + 0*m + 2*m**2. Suppose -60 = -0*b + 10*b. Let f(r) = 8*r**2 + 5*r + 5. What is b*f(c) + 5*l(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 38*z - 36*z + 13 = 0, -9*z + 6 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 343\/(-7) + 6 - 22*(-5)\/10?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 5504*w - 2 - 2 + 17)*(2 + 2*w - 2) as f*w**2 + r*w + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 - 4. Let d be n(-3). Let u be (1\/((-4)\/(-14)))\/(3\/78). Let p be (-2)\/(-7) + 8 + 702\/u. What is the greatest common factor of d and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 42, 37, 30, 21, 10, -3?\n\"Answer: -q**2 + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -9*f - f. Which is smaller: f or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/4 - ((-939)\/(-10))\/(2280\/(-1035500)).\nAnswer: 2, 21323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 40*v - 20. Suppose -4*a + 3*p = -31, 0 = -5*p - 23 - 2. Does 10 divide m(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/16 and -101\/48920.\nAnswer: 97840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = g - 13, -4712*t + 4717*t - 3*g + 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505888 divided by -109559?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142434 is divided by 467?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/60 and 53\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 285*m**3 - 9207*m**2 + 106671*m - 178746.\nAnswer: -3*(m - 31)**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 3\/8?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 + -185.077. Let q = d - -0.077204. What is q rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Let j = 0.7 + -0.72. Let r = j + -0.38. Put t, 0.4, r in increasing order.\nAnswer: r, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose 2*k = 0, w*h - 6*k - 32 = -k. Suppose -h = -2*b + 2*j, -4*b + 22 = -0*b - 2*j. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1205535535 + 0?\nAnswer: 1205535535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1239622*i**2 + 1689643 wrt i?\nAnswer: -2479244*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p\/(p\/(((p*((p*p**0*p*p)\/p)\/p)\/p)\/p*p)*p))\/p)\/(p*p\/p**(-6\/11)))**(-2\/49))**(-48) assuming p is positive.\nAnswer: p**(-384\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-4\/5)*c)*(c\/(c\/(c\/c**(-1)))*c)\/c)\/(c**(2\/7))**(1\/15))**(-2\/15) assuming c is positive.\nAnswer: c**(-584\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*p = 60. Suppose -34 = -p*h - 4. Solve -h*f - 3 = -5*y + 28, 3*y - 2*f - 19 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q - 9*q + 6*q + (-8 + 81 + 15)*(-3*q + q + q).\nAnswer: -85*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37121 is divided by 760?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 8:54 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*a**5 + 44*a - 44*a - a**5 + 2*a**5 + a**5 + (-6*a**4 + a**4 + 2*a**4)*(2*a + 2 - 2).\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-75) + 273\/(-585))\/((-6)\/70). Suppose 2*y - 5 = 17. Solve y - t = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**6\/120 + 7*l**5\/60 - l**4\/24 + 5*l**3\/3 - 13*l**2\/2 - 41. Let s(v) be the second derivative of p(v). Give s(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/3, 2\/13, -1, -2\/5, 2\/3, 2.7 in descending order.\nAnswer: 11\/3, 2.7, 2\/3, 2\/13, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 11. Suppose 0 = -3*j + 5*s + 131, j + 3*s = 10 + 43. Let n = 52 - j. Solve -5*g - n = -v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.06 (b) -4 (c) -0.4 (d) 129.17 (e) -1\/3 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5191 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 597\/28? (a) -16 (b) 1 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -121 + 9*v + 5*v + 9*v - 61 + v**3 - 22*v as h + t*v**3 + w*v + a*v**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-1)\/(-13278)) + (2 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n - 2. Let a be q(-1). Solve 2*h - 3 = -4*u - 7, 0 = -a*h + 2*u + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.4. Let s = -3.7 - -4. Let r = 10.4 - 10.9. Which is the biggest value? (a) r (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.31 - -0.81. Which is the second biggest value? (a) y (b) -2 (c) -3\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 25*t**4\/24 - 3*t**3\/2 + 2*t**2. Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 - (25 - (0 + -15 - -15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -85.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1 - 7 + 5*f**2 + 1 + 3. Let w(z) be the third derivative of -z**4\/24 - z**2. Give w(b(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.089 - -0.311. Let j be (-2)\/5 - (-68)\/70. Sort j, -4, c in increasing order.\nAnswer: -4, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/8))**(-20)\/((r**(3\/5)\/r)\/(r\/r**0)) assuming r is positive.\nAnswer: r**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3791 + 3782 - ((-1 - 1) + (2 - 2) - -20)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 2113, 3044, 3871, 4588, 5189?\nAnswer: 5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.0461, 43, 2\/13, -2\/23, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 60, 72, 84, 96?\n\"Answer: 12*d + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49110 and 20.\nAnswer: 98220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnbapababbi. Give prob of sequence aba.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*b**3 - 8*b**2 - 944*b**3 + 451*b**3.\nAnswer: b**3 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:57 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) + sqrt(28)\/sqrt(4) + -5 - sqrt(7)) - 2*(sqrt(7) + 1))**2*-6.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-13 - (8 + 1 + -36))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 7 - 6*w - 10\/3*w**3 - 8*w**2. Let f(u) = u**2 - 1. Let o(m) = 10*f(m) - l(m). Factor o(q).\nAnswer: 4*(q + 1)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 292. Let q = d + -148. Let t(z) = -9*z**3 - 2*z + 2. Give t(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.16, 0.039, 0.1, -5\/6?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**5\/20 - l**4\/2 + 13*l**3\/3 + 40*l**2 + 60*l. Let v be t(-8). Solve v*z - 3*z + 6 = 0, -5*b - 2*z - 16 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12538, -12534, -12496, -12406, -12246, -11998?\n\"Answer: 3*a**3 - a**2 - 14*a - 12526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 - 2*t**2 + t + 2. Let v = -50 - -49. Let x be m(v). Calculate the greatest common factor of 4 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*s - 25 - 30, r - 5*s - 17 = 0. Let h be -3*3\/(-9)*5. Let j = r + h. Let o(k) = -k**2 - 2*k - 4. Determine o(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2504 and 692?\nAnswer: 433192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**3 - h**2 + 1. Let i(x) = x**3 + 8*x**2 + 8*x + 2. Let g be -7 - 0\/(-3)*1. Let o be i(g). Let w = 6 + o. Calculate l(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 4 + 2 - 5 - 4*j.\nAnswer: 7*j - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9321, 22337, 39045, 59445?\nAnswer: 83537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 2\/(-3)*1. Let j = -3.9 + -0.1. Let o = -5 - j. Is o at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1893 - 24253 = 34*m. Let c = m + 782. Let a = 19 + -6. Calculate the highest common divisor of a and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240337503 to the nearest integer?\nAnswer: 15503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756764 is divided by 316.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/560000 and -57\/800?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 + -8 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 7*f**3 + 3*f**2 + 3 + 6*f - 1 + 8*f**3. Calculate z(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(416))\/sqrt(8))\/(-3*sqrt(16)))**2.\nAnswer: 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1067108*z**3 - 770993*z**2.\nAnswer: -6402648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let f(r) be the first derivative of -r**3 + 366*r - 4290. Calculate f(s(a)).\nAnswer: -12*a**4 + 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -668*j**3 - 698*j**2 - 889643*j + 2?\nAnswer: -4008*j - 1396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 10*w + 65 = 0. Suppose -5*q + q = -5*n - 1473, w*n = -4*q + 1463. What are the prime factors of q?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 2*k + 3. Let d(v) = 6*v**2 - 5*v - 5. Let z(o) = 3*d(o) + 5*y(o). What is the second derivative of z(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 40*t + 2. What are the prime factors of s(1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59430158?\nAnswer: 2, 83, 127, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.41 + 178.59. Let z = 182 - m. Is z at least 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-256)\/(-18) + (-32)\/144. Calculate the highest common divisor of w and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -1 + 9. What is the tens digit of (4 - 2 - u)*25*13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727374605579 - -231?\nAnswer: 1727374605810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 501590?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66317 is divided by 2030.\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 47*x**2 - 23*x - 32. Let z be a(24). Suppose -4*f - w - 3 = -2*f, 5*w = 2*f - 27. Sort f, z, 6, -5.\nAnswer: z, -5, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2\/3*t**3 - 47 + 0*t**2 + 0*t. Let v(d) = -20*d**2. Determine v(f(s)).\nAnswer: -80*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15528 + 16956. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -4. Let k be (2\/4)\/(2\/8). Suppose 3*f = 5*h + k*f - 1, 2*h + 4*f = -4. Solve h = 2*z + 8 + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 16*i - 20. Suppose 0 = -i*j + 11*j. Let u = -5442\/17 + 320. Which is the third biggest value? (a) -1 (b) -1\/12 (c) u (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -197\/2*b**2 + 0*b**3 + 80*b + 32\/5*b**5 + 0 + 0*b**4. Find the first derivative of z(y) wrt y.\nAnswer: 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9 + 106*v - 70*v - 8 - 71*v. Let f(y) = 44*y**2. What is f(u(b))?\nAnswer: 53900*b**2 - 3080*b + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2803 - 2763. Put 5, 1\/2, h in descending order.\nAnswer: h, 5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 107. Let p = n - 74. Let b(z) be the second derivative of z**3\/6 + 7*z**2\/2 - 80*z. Determine b(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 838783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-48)*((-990)\/121)\/3.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*q**2 - 123*q**2 + 49*q**3 - 120*q**2 - 90*q**2.\nAnswer: 49*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 1. Let q be s(1). Let k = q - 3. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) + -2)) + sqrt(637)*1)**2.\nAnswer: 28*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 786 by -6.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = h + 14, -1917*u - 42 = h - 1912*u for h.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 e when three letters picked without replacement from iereegniruiee.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {z: 3, k: 2, w: 2, d: 2, l: 2, r: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6*j = 54, 0*l - l + 36 = -2*j + 12 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 1:34 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 28\/19*k**3 + 0 - 2\/19*k**5 + 14\/19*k**4 + 16\/19*k**2 = 0. Calculate k.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.37\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -252 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723208?\nAnswer: 2, 90401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 4. Let z be -126 - -1 - (-8 - -11). Let f = -894\/7 - z. What is the third biggest value in u, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12*u - 12523 = -3*v, -v = -3*u - 4166. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -20\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -9) + -1 - ((13 - 19) + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from rrytytryryytyytr.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-39) - 368\/(-26). Suppose -3*z = -4*s - s + 7, p = 2*s - 4*z. Does 16 divide ((-148)\/(-16))\/(s\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125975*d*l**3 - 137*d*l - 2*d - 335393036*l**3 wrt d.\nAnswer: 125975*l**3 - 137*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6.2066+-0.053\nAnswer: 6.1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*b - 1978 + 7930. Let r = b + 382. Let n be -1 - -3 - (-3 - -2). Solve -2*a - 2*a = 3*x + r, n*a = 5*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 3016234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, -25513, -2, 3, 4 in increasing order.\nAnswer: -25513, -11, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1484, -1508, -1532, -1556, -1580?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/10, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-1)\/(-4))\/(84\/(-96))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182573?\nAnswer: 41, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(40)\/(3*sqrt(8)) + 1 + (sqrt(160)*-1 + sqrt(160) - sqrt(160))\/(sqrt(20)\/sqrt(40) - sqrt(2)) + 0)**2.\nAnswer: 56*sqrt(5)\/3 + 3929\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/6668, 186, -0.2.\nAnswer: -0.2, 3\/6668, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2.11, 0.25, 1\/2?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52916 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - d + 2 + 5 = 0, d - 4 = 3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57225856357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18)*2)\/((-4)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 221*y + 0 + 42*y to the form k*y + g and give k.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*526.65358.\nAnswer: 263.32679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-14 - -16) + (1 - (2 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154.09 rounded to the nearest 10?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 98224020 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194\/(-1 - (-1)\/(15\/20)).\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -446 - -24528\/55. Are k and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 11. Let g be u(8). Solve g*l = 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/9, -1\/3, 9 in descending order.\nAnswer: 9, 5, 4\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 66 = 2*j. What is the remainder when ((-14)\/(-4))\/((-7)\/(-378)) - -8 is divided by j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 3. Let i(v) = -33*v + 7. Let a(x) = 13*x - 3. Let u(l) = 5*a(l) + 2*i(l). Determine -2*h(r) + 4*u(r).\nAnswer: -10*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, c: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13365 and 2255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 28. Let l = -37.4 - d. Round l to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 7*t + 0*t)*(-5 + 0 - 2)*(t - t**2 + t + 0*t).\nAnswer: 28*t**3 - 56*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282582?\nAnswer: 2, 7, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(-6*y + 3*y + y) + (-2 + 4 + 0)*(-y + 6*y - 4*y) - 133*y + 15*y - 18*y.\nAnswer: -130*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4\/9 + 46*b**3 + 206*b**2\/9 = 0. Calculate b.\nAnswer: -103, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssve when four letters picked without replacement from {v: 1, e: 1, s: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/24)\/(-7)*6\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 10 = 10*s, 0 = -4*l - 5*s + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 311\/3 - 110. Which is the closest to -9\/8? (a) l (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.25830164.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 49*p**2 + 39*p + 192. Let s be y(-5). Suppose 0 = 62*a - 88*a + s. What is the remainder when 420 is divided by a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 473424+-0.3\nAnswer: 473423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*x - q, 4*q + 9 + 0 = -x. Solve -u = -2*i - x, -u - 2*i - 2 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*z**3 - 5*z**3 - 9*z**3 + 12*z**3.\nAnswer: -50*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -115*n**3 - 519 + 519 + (-n**3 + 2 - 2)*(-6 + 20 + 4) as m*n**3 + i*n + o*n**2 + q and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**3\/19 + 396*x**2\/19 - 3698*x\/19 + 5796\/19 = 0?\nAnswer: -207, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssxgsnssjssjsug. What is prob of sequence nx?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 20. Let x be g(0). Suppose -o - o = -x. Let d = o - -23. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3594 + 3593.9994119. Round g to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l - 5. Let p(w) = -2*w**2 + 58*w - 56. Let j be p(28). What is b(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 37. What is the smallest common multiple of 14 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*w - 262. Solve w*a**2 + 3 - 16*a - 127*a**2 + 9 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*z - 969 = 64*z. Let g = z + -214. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvvyllll. Give prob of sequence vyv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1854, 3750, 5646, 7542?\nAnswer: 9438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*v + 2*v - 28 = 0, -v = y. Let j = -1 - y. Solve 0 = q + j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -401\/4 (b) -3\/7 (c) 6 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5 + 3*z + 0*z**3 - 4*z**3 + 2*z**3 - 8*z**2 + 3*z**2. Is 4 a factor of c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhvz when four letters picked without replacement from bzfwbbfvvhhwzzhb.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 96816.3?\nAnswer: -96833.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 45*n**2 - 33*n + 3627. Give b(46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6*k**2 - 6*k - 3. Let i(p) = -p**3 - 3*p**2 + 6*p + 3. Let q be i(-4). Let c be s(q). Suppose 52 = 2*n + c*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1299 and -21696.\nAnswer: -22995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -559\/9 - -62. Let z(u) = u**3 - 5*u**2 + 4*u + 4. Let j be z(4). Suppose x = j*x + 3. Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:24 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, -290, 20, -2 in increasing order.\nAnswer: -290, -5, -2, 0, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/663602 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/(-405) + (-104)\/360?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, k: 8, q: 7, t: 1}. Give prob of picking 1 q and 3 k.\nAnswer: 98\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggigigwygwug. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t**(3\/2))**47\/(t\/(((t\/(t\/t**(-5))*t)\/t)\/t)*t\/t**(-3\/4)*(t*(t**(-1)*t)\/t)**(1\/54)) assuming t is positive.\nAnswer: t**(-505\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 56925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(62\/3))\/(15\/10). What is the biggest value in -0.1, q, 0.4, -6\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*w + 240 = -93*w + 56*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -465*o + 4*b + 38 = -466*o + 37, 0 = 5*o - 3*b - 41 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 - 16 = 2*w. Suppose 0 = 2*z + s - 218 - 112, 0 = 3*z - 5*s - 495. Suppose z = -21*o + w*o. Calculate the greatest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 67. Let o(j) = -2*j**2 + 36*j - 24. Let u be o(17). Suppose -u*b + 812 = -6*b. What is the greatest common factor of b and f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 - 186. List the prime factors of p.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (4 - 21) + 76\/(-5) + 4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let v(d) = d**2 - 6*d + 8. Let q be v(6). Let y be (2\/6)\/(q\/120). Solve o*n = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-38)\/7125*6\/8.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -6*-1*sqrt(78) - sqrt(78))\/(-4*3*sqrt(6)) - (2 + (sqrt(39)\/sqrt(3) - sqrt(13)) + -2 + -1)*-6)**2.\nAnswer: -6*sqrt(13) + 157\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**4 + 25*t**3 + 1125*t**2 + 6875*t + 12500 = 0.\nAnswer: -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 772874.\nAnswer: 463724.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.07, -2, -2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*o - 44*o + 19*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.38528947 to 1 decimal place.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 1. What is the units digit of i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 17)\/(4\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + w)*(-2*w + 3*w + w) - 2 + w**2 + 2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19196229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 187306577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/5 - g**3\/5 + g**2\/5 + g\/5.\nAnswer: -g*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*a + 124*a = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 16*d + 0 + 0*d**2 - 17\/2*d**3. Let q(r) = 5*r. Determine 21*q(w) + 2*v(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 16*s + 45. Let f be x(3). Let w = 3 - 1. Find the third derivative of 28*a**3 - 9*a**w - 28*a**3 + 5*a**f wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1807114 and 6386.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/4 + 105*q**3\/4 - 107*q**2\/2 = 0?\nAnswer: -107, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/16 - 2\/8. Suppose -15*m + 4 = 49. Is m at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*u**4 - 120*u**3 + 71*u**2 + 22*u.\nAnswer: u*(u - 1)*(3*u - 11)*(9*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100100000110110110110 + -1110?\nAnswer: 1010100100000110110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*c + z - 1, -3*c = 3*z + 36. Let a(i) = 22 - 14 + 2*i**2 + 1 + 11*i. What are the prime factors of a(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 21 + -43 + -32 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.64 - 0.46. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*i - 15, -4*i - 15 = -9*i. Solve c = -b*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-49)*195\/2106*-18*(-3)\/15\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-14\/3)*g)*g*g)\/g)\/g*g**(-10))**(-2\/45) assuming g is positive.\nAnswer: g**(26\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062.0396 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**2)**(7\/10))**14)**(-30) assuming k is positive.\nAnswer: k**(-588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g)**(-1\/57))**35 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17813 = 3*i - 4*d, d - 49944 + 8370 = -7*i. List the prime factors of i.\nAnswer: 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 17*m**2 + 21*m + 69. Let k be b(17). Let x = k + -439. Sort -3, x, 0.5.\nAnswer: x, -3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(-2\/11))\/j**(-6))\/((j**(-8)\/j)\/j**9)*j**(3\/2)*j**6*(j**7\/j)\/j*j**(-3\/10) assuming j is positive.\nAnswer: j**(2111\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 370\/3256*(2 + 6) - 2526\/2706.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/6*-3*(6 + -6). Suppose l = -2*q + 4, -26 = -4*g - 2*q - 6. Solve 15 = -5*a, 5*m = -g*a - a - 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8595 + 8592. Let c = 0.24 - 0.14. What is the nearest to 0.1 in w, -20, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 45019452*q.\nAnswer: -3*q*(q - 15006484)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*c + 828 - 828)*((2 + 0 - 1)*(5 + 0 - 4) + 3 - 1 - 3 + 4 + 0 - 1)*(4*c - 4*c + 5*c**2).\nAnswer: 1245*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 f when three letters picked without replacement from {w: 1, n: 3, x: 2, i: 3, c: 2, f: 3}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 736 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + (5 - 3) - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 160 - 51 - 61 - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13326, -29.\nAnswer: -13326, -29, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 5*y**4\/4 + y**3\/3 - y**2\/2 + 8*y - 3. What is j(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.568 - 107264793187.\nAnswer: -107264793183.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*h**2 + 0*h**3 - 8*h**3 + 4*h**3 + 6.\nAnswer: -4*h**3 + 224*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132833 - 66430. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 6:49 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1\/(6\/8). Let m be 8\/(-8) - (-5)\/4. Solve 0 - m*b**o + 1\/4*b + 1\/4*b**2 - 1\/4*b**3 = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*n + 9. Let j(s) = -34 + n*s**3 - 5*s**3 - s + 11. Calculate j(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - w)*(2*w - w + w)*(165 - 82 - 82).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**3*z**(-2\/13))**(6\/5) assuming z is positive.\nAnswer: z**(60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, h: 1, m: 1}. What is prob of sequence hm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417 - -439. Let d be (u\/14 + (-8)\/8)*14. Solve 4*t - 4*p - 8 = -d*p, -2*t + 4*p - 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 + -28. Suppose -60*s - 384 = -f*s. Calculate the greatest common divisor of 64 and s.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 13*g. Let c(w) = w**2 + w. Let p(j) = -b(j) + 6*c(j). Suppose 0 = -a - 2 - 3. Let k be p(a). Calculate the highest common factor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = 70. Let k be (-2)\/(-7) - 66\/q. Suppose 0 = -r + 6*r - k. Which is greater: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -5*p**4\/24 + 31*p**3\/6 + 2*p**2. Let n(h) = -3*h + 6. Let s be n(0). Let t be u(s). Solve -3*r = 4 - t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -320.9999957 - -321. What is q rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-2)*(-1 - -2). Suppose -1 = -4*w - f. Let s be (44\/6)\/(w\/(-24)). What is s rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4208960 and 11785088?\nAnswer: 58925440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1332150 (base 8) to base 5\nAnswer: -43430424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/1473, -1\/5, -2051?\nAnswer: -2051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81807263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213112 (base 6) in base 3?\nAnswer: 10021001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 17*c**2 + 2*c - 20. Let i(n) = -n**2 - 1. Let s(o) = -a(o) + 6*i(o). Let f be s(11). Let m be (-44)\/(-10) + f\/20. Solve -m*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138137915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 368 = -284*g - 70 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 57. Let l be 5 - (-11700)\/(b\/1). Suppose -1914 = -4*h + l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(21\/(-18))\/(-7)*(-2001)\/(-1334).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((33\/(-231))\/(4\/14))\/(-5)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 19*v**2 + 41*v + 103. Give k(-17).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h - 4. Let d(b) = -b**2 - 160*b + 151*b - 7 - 1. Let a be d(-8). Let p be n(a). What is the second biggest value in p, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-4) - 102\/120 and (-2 - 27\/(-7))*1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 16. Let i be y(-7). Suppose 17*m + 0*m - i = 0. Let k(g) = 3*g**2 + 2*g - 1. Let s be k(-3). Solve m*t = -t - s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1482?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -24\/5*k**5 - 26\/3*k**3 + 0*k + 0*k**4 + 0*k**2 - 17. Find the third derivative of s(v) wrt v.\nAnswer: -576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 8)*(-16*m + 103*m - 335*m - 141*m).\nAnswer: 2723*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 41 = -3*b + 18, -b - 2*h = -18. Let t(o) = o**2 + 11*o + 11. Let w be t(-10). Is 5 a factor of 2\/8*w*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*x + x + 76 = 0, -41 = -c + 2*x. Let w = c + -6. Let a = -6 + w. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4*235\nAnswer: -940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -45d872 (base 15) to base 7\nAnswer: -40234064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and 0.15?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21630811 to the nearest integer?\nAnswer: 4651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/(-74) + 6235\/(-22940) and 71\/32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-11 + 13) - -6 - (-1 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2008359982.\nAnswer: 2, 1279, 785129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -11*b**2 + 8*b**2 + 2*b**2 + 4*b**2. Let l(m) = 17 + 12 - 34 + 3*m. Determine f(l(r)).\nAnswer: 27*r**2 - 90*r + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 26*n + 35. Let x be c(14). Let u(o) = 6*o**2 - 2*o**2 - o**3 + 3 + 4*o**2 + 9*o. Is u(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4156, -15518, -34486, -61066, -95264?\n\"Answer: -q**3 - 3797*q**2 + 36*q - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2\/335, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3. Let a be i(0). Let s = a + 2. List the prime factors of 9*(s\/1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 13*m + 3. Let p be k(6). Let o be 3 - (-4)\/(p - -7). Let t(n) = -n**2 + 4*n - 2. Let c be t(3). Solve -s - c = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (10\/24 + 0)\/(1905\/(-762))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 35768 = 3*p, 3312*s + 4*p = 3310*s - 14296. Which is greater: -7158 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {u: 3, r: 1, i: 1, d: 1, w: 7}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000040507 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*o - 47. Suppose -o*z + 28 = 8. Solve z*t = 6*t + 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - 2*u - 4, 5*z - 3*u - 15 = 0. Let c(k) = 6*k + 4. Let q be c(7). Suppose q = z*p - 2*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76.5 + 76.6. Which is the closest to -2\/5? (a) -12 (b) z (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(546\/104)*(-30)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 + 2*o + 1. Let l be j(-1). Let z = -11327\/2427 - -1\/2427. Does l = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-14)\/56)\/(1\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18597.0025977 + 18597. Round g to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -9 - 4) + 11 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1940 = j, 5*y = 8 - 13. Does 89 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*u**5 + 7*u + 20*u**3 - 25*u**4 - 27*u**5 - 7*u.\nAnswer: 5*u**3*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3861 at most as big as 3862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhrdnxc. What is prob of picking 1 x, 2 d, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i - 54*i = -27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -576, 4 in ascending order.\nAnswer: -576, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4514 - 4290.1. Round g to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2909 a factor of 73831556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 19, 36, 51, 64?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 55*z**2. Let u be (6 + -30)\/8 - -5. Let a(s) = -23*s**2 - 22*s**u + 49*s**2. What is a(x(q))?\nAnswer: 12100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m. Let i be c(0). Suppose -s - 6 + 26 = i. Suppose -3*t - 5 = -s. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1192 and 137\/894.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -3*a - a - 19, -t = -3*a + 4 - 5 - 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - r. Let m(s) = -s**2 + 16*s - 50. Let f be m(6). Let a be ((-1 - 4)\/f)\/(3\/12). Calculate v(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 x when three letters picked without replacement from {u: 10, x: 1, l: 1, z: 5, h: 1, r: 1}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 1\/5*s**5 + 0*s**2 - 5\/3*s**3 + 0*s**4 - 5 + 0*s. What is the third derivative of b(f) wrt f?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2303 divided by 47.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 66*s - 438. Let c be z(7). Let p = -153 + 241. What is the greatest common factor of c and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 34*h + 275 = 0. Let z(b) = -4*b - 6. Let r be z(-7). Calculate the highest common divisor of r and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 3*g - 2. Let z be 33\/(-27) - 16\/(-72). Let y be f(z). Are y and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(117) - sqrt(117)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121449545 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*a - 125*a - 121*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let s be 3\/(-2) + (-6)\/(-12). Let t be s\/(((-1)\/2)\/1). Let l(v) = -v + v + t*v. What is l(c(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27807, 53821, 79835, 105849, 131863?\n\"Answer: 26014*n + 1793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2406708.\nAnswer: 2, 3, 66853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339351.\nAnswer: 3, 113117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1111497*b. Let u be m(-3). Let f = u - -934491. Round f to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.972 times 0.5?\nAnswer: -1.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = 4*s, s - 10*f + 6*f - 13 = 0. Suppose -5*o = -4*y - 2364, -3*o + s*y = 6*y - 1415. Is o a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2234207 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200292061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 2. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/16 and -107\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u + 9. Let d be u\/5 - 234\/(-15). Suppose -5 = -q + f, -3*f = d - 6. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(13)*1 - (sqrt(13) - -6*(-1 + sqrt(13)))) + -3 + (sqrt(1300)*1 - sqrt(1300))**2 + sqrt(1300) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:04 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 + 15*l**3 - 35*l + 14*l.\nAnswer: 24*l**3 - 21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 255 or -9?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158 (base 14) to base 5.\nAnswer: -2044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f - 3. Let d(w) = -w + 1. Let h(j) = 3*d(j) + p(j). Let g(a) = 17*a. Give h(g(m)).\nAnswer: 51*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 2 - (-25 + 25). Suppose -49*j**2 - j - 46*j**2 + j**4 + 98*j**2 - 3*j**f = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l - 4 = 0, -2*l = 5*u - 2067847. Suppose 0 = -w - u + 133569. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 7. Solve -f**2 + 0*f - 4*f - 3*f + 3 + m*f = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 221*j**4 + 351*j**4 - 236 + 242*j**4 - 29 wrt j.\nAnswer: 3256*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*f + 343, 3*m - f - 77 = 2*m. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0 - 15) + 12 + (4 - -62)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 829765970 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n**2 + 17*n - 5. Let z be h(3). Let a = 7 + -4. Suppose -5*o + 4*t - 32 = -a*o, -16 = o - 5*t. Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 162.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2312 (base 6) to base 5\nAnswer: -4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/6 + 15*t**2\/4 + 7*t + 127. What is n in s(n) = 0?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232.99999608 + -233. Round a to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 68100000. Let n be (-1 + 13)\/((-6)\/d). Round n to the nearest one million.\nAnswer: -45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 8:53 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*r + 1 = 0, -g = 5*r - r + 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 301395 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - 17 - (-1 + -12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 6 - (-20)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 32064\/544 + -36\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 22.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -3, -2, 823, 0, 2\/9 in decreasing order.\nAnswer: 823, 2\/9, 1\/5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -394186, -1576497, -3547016, -6305743, -9852678?\n\"Answer: -394104*j**2 + j - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1421 by -200.\nAnswer: -1421\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -12993 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 2. Let x(a) = 5*a + 4. What is 3*h(y) - x(y)?\nAnswer: y - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t = 123*t + 269 - 1997 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 + 6 - -1) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 23. Suppose -3*w + 15 = 0, 3*r - 30 = -2*r - 2*w. Suppose -4*g - 2*h = 24, -7*g = -2*g - 2*h + 21. Sort g, r, f in ascending order.\nAnswer: g, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 + 0.22. Suppose 2*h = -3*h + 5. Suppose z - 7 = -3*g + 7*g, g = -h. What is the third biggest value in i, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 96*j**3 - 3*j**2 - 11*j + 21. Let u be w(4). Let x = u - 2414. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -8\/7 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160232 and 2183161.\nAnswer: 17465288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, 25, 63, 73, 49?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1755 + -3 - 7). Let p(q) = 0*q + q - v + 1768. Calculate p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5202.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6909 - 6900. Put -3, 0, t, -1, -2 in increasing order.\nAnswer: -3, -2, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311277 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 8) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/9 (c) -0.3 (d) -2\/19 (e) 6 (f) -0.1379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 28*i + 4. Let q be b(3). Let y(a) = 8*a - 7 + 5 - a**2 - 5. Let k be y(5). What is the highest common factor of q and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 832, 2178, 4068, 6502, 9480?\nAnswer: 13002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 3 - 9*x - 4 - x**2 - 6 + 9*x**2. Let v be z(-9). Let w(h) = -9*h - 4. Let l(r) = -19*r - 9. Give v*w(i) + 6*l(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45499 is divided by 250?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 1\/3 (c) 56 (d) -1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1261 - -1247. Which is the fourth biggest value? (a) -5 (b) 2\/7 (c) s (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 282959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401131?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/127358 + -515059\/6877332. Calculate the common denominator of -131\/18 and u.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - 3\/((-42)\/16156). What is the highest common factor of l and 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 26*y**2 - y - 28. Let q be z(-26). Suppose o - 519 = -5954. Is o\/(-25)*-10*q\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -33, -3 in ascending order.\nAnswer: -33, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -10 - (-38 + 11 + 20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 391 a factor of 438598868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((2\/2)\/((-16)\/32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*r + 1962 - 5427 = 0 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + 7 - 7)*(-u + u + u + (-6*u + 2*u + u)*(2 - 5 + 5)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.027 (b) -9\/118 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 f when three letters picked without replacement from fwwfiiiifff?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 4242?\nAnswer: 135744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -36\/5602775?\nAnswer: -36\/5602775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 + 2*o**2\/11 + 24*o\/11.\nAnswer: -2*o*(o - 4)*(o + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.101?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21674318 or 21674319?\nAnswer: 21674319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Let y(x) = -1 + b + 0 - x. Suppose -5*u + 3*u = 6. What is y(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2065?\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/(k*k**(-2\/7)))\/((k**(3\/2)\/k*k*k)\/(k*k**(-3)\/k*k)))**(2\/7) assuming k is positive.\nAnswer: k**(-73\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 21.4. What is the nearest to 0.1 in 3, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42399568.\nAnswer: 2, 31, 73, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 1, 2, -1, 145 in descending order.\nAnswer: 145, 47, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*w - 2 = 0, 4*l = 5*l + 5*w - 5. Let x = -10.06 + 10. Which is the fourth biggest value? (a) 2 (b) x (c) l (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 59. What is the second biggest value in i, 3, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -26 - (-2 - (0 - 2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = -7*n + 5093. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from uuuuququu.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -15.43731 at least 24.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.1058 less than 1087.5?\nAnswer: 974.3942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 8293 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4324332*v**5 - v**4 - 7*v**3 + 445*v + 133386 wrt v?\nAnswer: 86486640*v**3 - 12*v**2 - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8640*b + 905*b - 1639*b.\nAnswer: 7906*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -10823704.\nAnswer: -13\/10823704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*26*2. Let q = d + -16. Calculate the greatest common factor of 30 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m**2 - 2*m + 2. Let v(j) = -292*j**2 + 42*j - 47. Let i(y) = -2485*y**2 + 357*y - 399. Let s(h) = 5*i(h) - 42*v(h). What is 2*s(x) + 21*z(x)?\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4740 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(18)\/sqrt(9) + 4 + (-1*sqrt(200))**2 + ((sqrt(24)*-1)\/sqrt(12) - 5*((sqrt(2)*2 - sqrt(2)) + sqrt(2)))**2 + 3.\nAnswer: sqrt(2) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16220 - 1642?\nAnswer: 14245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3095266*y + 4099539?\nAnswer: -3095266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-8))\/(146\/24). Which is bigger: 3 or n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Let u(c) = 2*c - j*c + c**2 + 3 - 2. What are the prime factors of u(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 10, u = c + 17 - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1152 - 1152. Suppose -4*y = -5*c - 52, 3*c = -2*y - 0 + 4. Solve 2*m + 0*m - y = v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 1)*(-2 + 1 + 2)*(-1 + 0 - 1)*(0*u + 2*u**2 + 0*u) as g + p*u + n*u**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000.25 rounded to the nearest 10?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d181 - -316?\nAnswer: -2cd6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40209644?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308 - 305.16. Let u = o + -2.748. Which is bigger: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 4*b**2 + 4*b - 1. Let v be w(4). Suppose 2*k - 2*o = 316, 2*k - k - 156 = 2*o. Suppose v*z = 13*z + k. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6840363 tonnes to grams.\nAnswer: 684036.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3a6 (base 12) to base 9.\nAnswer: 28750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -23. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*m - 2*m**2 + 4*m - 9*m)*(-167 + 12 - 50) to the form b*m**2 + i*m + k and give b.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 11:04 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 + 8380 - 1283*p**3 + 1316*p**3 - 8379 to a + w*p**2 + y*p**3 + h*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u - 126. Let r be o(-14). Solve r*k - 54 = -13*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*1525\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 745957, 745652, 745347?\n\"Answer: -305*y + 746262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*y + 4*y**4 - 2*y - 2*y**4 + 0*y**4 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7917 - 441 = 24*l - 4788. What is the greatest common factor of 56 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25\/164 - 4\/41. Let b = -106.9 + 115. Let t = 8 - b. What is the nearest to z in -5, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from uppppppppuupppuupfu?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25123 - 414*d - 67972 + 159*d**2 - 160*d**2.\nAnswer: -(d + 207)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * -0.05\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -652.22097?\nAnswer: 635.22097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - 4*c + 3. Let x(b) = 2*b**2 - 24*b + 18. Let t be x(11). Let n(k) = -k**3 + k - 1. What is t*n(r) - l(r)?\nAnswer: -2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -619522.35391913 take away -3?\nAnswer: -619519.35391913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -11*b**5\/20 - b**3\/3 - b**2\/2 - b. Let a = -1018 - -1017. Calculate v(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158467717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**5\/15 - 122*n**4\/15 + 2762*n**3\/5 - 8038*n**2\/15 - 8284*n\/15 + 544 = 0?\nAnswer: -102, -1, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 4. Let z be j(4). Which is the third smallest value? (a) z (b) 0.2 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44212 divided by -2?\nAnswer: 22106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:03 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14762 and 10.\nAnswer: 73810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 4 + 0 - 2 + (75 - 75 - 5*t)*(-2 + 0 + 0) + 7*t + 116 - 116.\nAnswer: 19*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 9521773?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2824 + -0.7303.\nAnswer: -2824.7303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {c: 1, m: 5, w: 11}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1488 + -1483.986. Let b = 4 - a. What is the smallest value in b, 4, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/680*(-5)\/4. Which is the closest to -0.1? (a) 1 (b) 0 (c) w (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 5 - (-8 + 12) - (15 - 3)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 2*x + 1 - 2*x. Let r be u(-4). Let b = -1 - r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(3\/8)*l*l**16 assuming l is positive.\nAnswer: l**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239996\/15 + 16000. Suppose 3*r = 2*f, f - 4*f - r = 0. Is f at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(98)*5)**2.\nAnswer: 9800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-72)\/(-20))*(-27)\/(-45))\/11\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 24*o**2 - 75*o + 220. What is the units digit of r(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5834.87+0.0593\nAnswer: 5834.9293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 26*l**2 - 9. Let t(c) = 1100*c**2 - 375. Let j(z) = 250*b(z) - 6*t(z). Let m(d) = -24*d. What is m(j(w))?\nAnswer: 2400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -4 - (-14)\/(-21)) + -5. What is the second biggest value in -2\/1911, v, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -486864 divided by 2254\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 2\/3, 0, 0.876?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2044.3 - -2225. Let i = 180 - h. Let d = -197\/3 + 65. Put d, -0.5, i, 2 in decreasing order.\nAnswer: 2, -0.5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1388660, -1389287, -1389914, -1390541, -1391168, -1391795?\n\"Answer: -627*u - 1388033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccllkcllccc. Give prob of sequence klcc.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 33370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niin. Give prob of sequence inn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = j - 14068003, 0 = -3*q + 4*q - 5*j + 3517015. What is q rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - (-40 + 44)) + -5 - (-26 + 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-10\/11))\/(g*g\/g**(1\/25))*(((g**(-1\/19)\/g*g)\/g*g*g)\/g)**(-32) assuming g is positive.\nAnswer: g**(-966\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.1, -0.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and 219150 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-166)\/(-8) + 6\/(-8). Suppose 2*g - k + 0 = 0. Suppose -4*n = -110 - g. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8563 (base 12) to base 16\nAnswer: -391b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -6. Let b be (0 - -1) + 12\/x. Solve 0 = -0*v + 2*v - 6, -9 = 3*y - b*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 48*j**2 + 39*j - 36. Let f be a(-17). Solve 0 = 36*k + f + 84 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/2, -2\/9, 2, -2\/3 in decreasing order.\nAnswer: 2, -2\/9, -2\/3, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.3 + 0.3. Let k = -11.7 - y. Let n be 2\/(-14) + 184\/504. Which is the closest to 0.1? (a) k (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*c - 74*c = 53*c + 810 - 2999 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10634 and 119837.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**48)**(-21) assuming o is positive.\nAnswer: o**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -122*w - 113*w + 231*w. Let b(x) = x. What is v(b(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2784 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 648081 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: Let c(o) = o**2 + 8*o + 9. Let u be c(-5). Let z(m) = -25*m - 46. List the prime factors of z(u).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 3, m: 1, k: 1}. What is prob of picking 3 y and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 105, -1847 in increasing order.\nAnswer: -1847, -5, -2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 10:51 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -277*h**3 + 224*h**2 - 3*h + 6. Let a(d) = -832*d**3 + 675*d**2 - 8*d + 16. Let f(m) = -3*a(m) + 8*k(m). Find the third derivative of f(n) wrt n.\nAnswer: 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*i + 5, 8*v - 4*v = 4. Suppose -2*t + 3*y = i*t - 61, 33 = 2*t + y. Suppose -k + t = k. Calculate the least common multiple of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3594927 is divided by 2776.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77489 - -146302. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 not equal to 395\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.6 (b) -33\/5 (c) 5129\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:50 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9104975 and -43\/110.\nAnswer: 18209950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3422701 to the nearest integer?\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 - -2166?\nAnswer: 2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**3 - 5*s**2 - 1. Let g(l) be the first derivative of 2*l**4 - 4*l**3\/3 - l + 64. Let y(q) = -6*g(q) + 5*x(q). Give y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212304113 (base 5) to base 8.\nAnswer: 12705432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 26677*n**2. Let s(q) = 89*q + 1. Calculate s(r(k)).\nAnswer: 2374253*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + (sqrt(1260) - sqrt(1260)*2 - sqrt(1260)))\/(4*sqrt(7)*2 + sqrt(7)))**2.\nAnswer: 605\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(1 + 1 - 1)*(10*o - 40 + 40) + (-4 + 5 + 1)*(2*o + 2*o - 2*o) - 4*o - 3*o - o.\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -32877, -5 in ascending order.\nAnswer: -32877, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17739 - -17744.4. Sort t, 0, -0.2 in decreasing order.\nAnswer: t, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -8) + 9 + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*t = -110, -5*a + t = 5*t - 130. Let g = -257 - -302. What is the highest common divisor of a and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -13*o**2 - 14*o + 7. Let i(d) = d**2 + 2*d - 1. Let g(u) = 14*i(u) + 2*v(u). Let r(z) be the first derivative of 11*z**3\/3 + 98. Calculate r(g(j)).\nAnswer: 1584*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*g = -53, 26*g = -4*w + 29*g + 71. Put w, 0, -6, 2 in decreasing order.\nAnswer: w, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2436766 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 + -35. Let f = 27.989 - p. Let q = 0.211 + f. Is 22 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 + 55 = 7*a. What is the highest common divisor of 120 and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*n - 4 = 2*b, -217*n + 219*n = 17*b - 92 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:25 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 33. Suppose s*d = -4*d + 192. Let y = 286\/9 - d. Which is the closest to -2\/9? (a) y (b) -2\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(3\/2))\/w**(1\/2))\/(w*w**(-1)*w)**(-37))**(-2\/5) assuming w is positive.\nAnswer: w**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*o*u - 24*n**3*o - 5744*n**3*u + 310*o wrt u.\nAnswer: 2*n**3*o - 5744*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -45\/7, -1, -5216 in descending order.\nAnswer: -1, -45\/7, -5216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6261 is divided by -1 + (1 + (10 - 0))\/(150\/1200).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 3*i + 5*i)*(-3*i + 3*i - i) - 19*i**2 + 10*i**2 + 2*i**2 - 23*i**2.\nAnswer: -29*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 12*f - 1. Let k be n(12). Let y(b) = -b**3 - 2*b**2 + b + 1. Calculate y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:59 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4669327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11. Suppose c = -4*o + 4 - 28. Let w(v) = 2*v - 3 - 3 - v**3 + 4*v - 5*v**2. Give w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uggx when four letters picked without replacement from {u: 3, x: 2, g: 12}?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 1, w: 1, z: 1, y: 1}. Give prob of sequence gzyw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y - 7. Let r(d) = -d**3 + 8*d**2 - 5*d. What are the prime factors of r(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 144 = -c. Let n = -36 - c. Solve n = -2*q - q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4505459?\nAnswer: 7, 17, 37861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -78*o + 1. Let m be g(1). Suppose -2*i - 2*x = -358, -x + 6 = 2*x. Let v = i + m. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5714 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00708 plus -1?\nAnswer: -1.00708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 3, v: 2, n: 2, m: 2, l: 1}. Give prob of sequence wl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/81*-6*(228809\/7 + -2) a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1220247, -2440496, -3660745, -4880994, -6101243?\nAnswer: -7321492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/54)\/(3\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/84)\/((-48)\/84)*(-2)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 18847.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s**2 + s. Let z(d) = -16*d**2 + 15*d - 3. Let q(h) = 3*t(h) - z(h). Give q(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -12\/13 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97185948 to the nearest integer?\nAnswer: 9858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 1. Suppose r*j = 4*j + 70. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -67 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*y + 42*y - 55 + 63)*(-y - y + 4*y).\nAnswer: 30*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/((-504)\/(-1282)) - 8\/28 and -43\/98.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = o + 6*m, -2*o + 40 = -4*m. Suppose -2*i = 2*z - 68 + 26, 0 = -i - 5*z + 17. Suppose a + a = i. What is the remainder when o is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 1.1. Put -1, i, 1\/12 in decreasing order.\nAnswer: i, 1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (105 - 109) + -1 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 640.6591 times -0.2?\nAnswer: -128.13182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {d: 4, j: 15}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8717, 8727, 8743, 8765, 8793?\nAnswer: 8827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-15))\/((-5)\/2 - -1). Put -2, -0.3, -2\/37, f in decreasing order.\nAnswer: -2\/37, f, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 8*w + 5 - 4)*(0 - 3*w + 0) + 15*w**2 - 65*w**2 + 169*w**2 as t + g*w**2 + v*w and give g.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2375*f**3 + 7*f**2 + 18. Let u(x) = 2375*x**3 - 6*x**2 - 12. Determine -2*c(d) - 3*u(d).\nAnswer: -2375*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6891*a**3*r**2 + a**3 - 3*a**2 - 2*r**2 + 84516 wrt r?\nAnswer: -13782*a**3*r - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.00865 - -0.29135. Is -109\/5 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -285, -0.0258, 0.1, 1\/4, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 - 6*o**2 + 4*o + 6. Let d(y) = -y**3 + 0*y**2 - 117398*y - 5*y**2 + 117402*y + 8*y**3 + 0*y**3 + 5. What is -5*b(j) + 6*d(j)?\nAnswer: 2*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73142.02 grams in kilograms?\nAnswer: 73.14202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 10*s**2 - 4*s + 11. What are the prime factors of r(-11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaccaabaavpaac. What is prob of sequence avb?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3715969 and 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 22*c + 17. Let h(p) = -p**2 - 8*p + 5. Let z be h(-8). Is j(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.336, 3\/2, 0.18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.384 + 33.7. Let n = 0.316 - s. What is the closest to n in -4\/3, -4, 0.2, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85 - 80. Solve 4*h + 20 = -0*h + 3*b, b = -d*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6874886 = -5*i + 109921466. Suppose -z - 11190684 = i. Round z to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 7 = 4*l. Suppose -x = -l + 2. Suppose -5*d + n + 4*n = -65, x*d = 4*n + 18. List the prime factors of d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 68261952 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1407, -1418, -1431, -1446?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 261*f - 37*f + 3549 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/48*r**4 - 2*r**2 - 1\/240*r**6 - 1\/420*r**7 + 0*r + 1\/120*r**5 + 0 + 0*r**3. Factor f(z).\nAnswer: -z*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9360, -18726, -28094, -37464, -46836, -56210, -65586?\n\"Answer: -s**2 - 9363*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(108)\/sqrt(3))\/(sqrt(84)\/(sqrt(21)\/sqrt(3))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 8*p + 9. Give j(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101342642?\nAnswer: 2, 163, 310867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 2*g + 3. Calculate k(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.6 + -0.3. Let f = -16.1 + q. What is the second biggest value in f, 0.3, -2\/9, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2021, -4081, -6143, -8207, -10273, -12341?\nAnswer: -14411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 700017 times 0.47\nAnswer: 329007.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 2, i: 2}. Give prob of picking 2 q and 2 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 190 (b) -14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j + 15. Let v(f) be the first derivative of 7*f**2\/2 + 10*f - 18. Let u(b) = -5*g(b) + 8*v(b). Calculate u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36456367 to the power of 1\/2, to the nearest integer?\nAnswer: 6038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85390 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012221330 (base 4) to base 15.\nAnswer: -ad64d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -2c9b?\nAnswer: -2c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 13*n**2 + 28*n - 43. Give t(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 33. Let l = -69\/77 - -13\/11. Sort 1\/3, 5, l, y in ascending order.\nAnswer: y, l, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 15\/9)*36\/(-8). Suppose 3*i - 7 = -2*q - 3*q, -s = 3*i. Suppose v = -4*d - 14, 3*v = 7*v + q*d. Solve 6 = v*c + c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.939016453 + 14.939. What is o rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (383*g - 192*g - 42 - 193*g)*(-89*g**2 + 82*g**2 - 11 + 5) as h*g + z + t*g**3 + r*g**2 and give z.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - ((-5 - 5) + -3)) + (2 - 11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 71. Put 1, -3, s in ascending order.\nAnswer: s, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r + 916 - 190 + 1785 = 0 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 1. Suppose 28*b - 8*b = 200. Determine d(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 730, 3680, 8604, 15508, 24398, 35280, 48160, 63044?\n\"Answer: v**3 + 981*v**2 - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, -30, -299\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101450422 - 11?\nAnswer: -101450433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9592 and 27896?\nAnswer: 3040664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/4, -713, 0.03, 4, -3\/2.\nAnswer: -713, -3\/2, -0.1, 0.03, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406589374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and 0.2.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7648 != -7646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -429265 divided by 3.\nAnswer: -429265\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3) - 1) + (-105)\/63. Let k be (-4 - -6) + -3*(c + 1). Let b be -3 + 12 + 1 - -1. Solve 0 = n + 2, k*q + 5*n - b = 3*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3652023, -14608716, -32869863, -58435458, -91305495, -131479968, -178958871?\n\"Answer: n**3 - 3652233*n**2 - n + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -23*n**2 - 23*n - 8. Let v be z(-4). Let b = v + 287. Solve o - 9 = -l, -l - b*o = -0*l - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2352365ug to milligrams.\nAnswer: 0.0002352365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mympympyypy. What is prob of picking 2 m and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1847 - 1823. Solve 0 = -v + r, -2*v - 5*r = -3 + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3802*k = -3791*k - 11. Which is the nearest to 1? (a) 63 (b) 2 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6649.451 decades to millennia.\nAnswer: 66.49451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101010011 (base 2) to base 5.\nAnswer: -34022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -42, -58?\n\"Answer: -16*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9\/((o\/(o\/(o**(-1\/7)*o*o)))\/o))**(-6)*(o**(-1\/6)*o**(-1\/3))\/(o\/(o*o**(-2\/9))*o**(5\/6)) assuming o is positive.\nAnswer: o**(-3176\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 1. Let m = -3\/1853 + -9253\/7412. What is the fourth biggest value in -2, m, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 - 16 = 0. Let g(j) = -18*j - 65. What is the hundreds digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 12202023?\nAnswer: -12202041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*f + 105 = 0, -3*a - a + 75 = -5*f. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5342, -10730, -16188, -21746, -27434?\n\"Answer: -5*j**3 - 5*j**2 - 5338*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(136) - sqrt(136))\/sqrt(8) + 0.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1485991*w**3 - 1749790*w - 1?\nAnswer: 8915946*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1146381190.\nAnswer: 2, 5, 114638119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (1 + 0 + -5 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.98824ml to litres.\nAnswer: 0.07798824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335 - -314. Which is the second smallest value? (a) 0.3 (b) u (c) 1\/5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747646759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 7*m - 19*g - 348 = 0, -3103*m = -3102*m + 3*g + 56 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 0.2, 0, -0.4, -0.3, 162, -1.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.74 in -133, -0.34, 0.2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (1 - (4 - -685639)). Let a = 1025642 + s. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 151, 187, 247, 331, 439, 571, 727?\n\"Answer: 12*v**2 + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 24587?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21854290194 + -21852960890.000115. Let p = t + -1329320. Let l = 16 + p. Round l to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 6*q. What is the remainder when 12 is divided by z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 minus 8160?\nAnswer: -8214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1224*r + 13051 + 17549 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1327*y - 1 - 383*y - 446*y + 243*y as i + g*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1629*u**2 + 3*u + 1213*u**2 - 193*u**2 as f*u**2 + l + o*u and give f.\nAnswer: 2649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31878 and 83559?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 200031360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/6 - 15*o**2. Let c(i) be the first derivative of 2*i**2 - 3. Determine c(h(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 3*y + 1. Let u(x) = -1. Let s(q) = -q**2 + 4*q + 8. Let b(v) = -s(v) - 6*u(v). Let f = -18 - -21. Determine f*b(l) + 4*i(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -259 (b) 2 (c) -7 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2484 and 95\/24.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-4)\/(-8) - -2). Suppose -5*z + 215 = 4*c, -c - a*z + 59 = z. Calculate the greatest common factor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16113 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 23 = 47 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.0000263 - 73. What is f rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 25*c**4 + 192*c**3 - 500*c**2 + 416*c.\nAnswer: c*(c - 13)*(c - 8)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, q: 3, w: 1, f: 1, k: 1}. What is prob of picking 1 q and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 13, -2, -0.25, -26.6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrw when three letters picked without replacement from {r: 4, w: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -21 + 6 + (-4 - 13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*h - 8151, 3*h + 169 = -5*t + 8308. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-3*b + 5*b + 0*b) + (4362 + 4170 - 8877)*(-3*b - b + 5*b) in the form d*b + i and give d.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-33 + 28 - -52)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x**3 + 12*x**2 - 4*x. Let k(r) = 3*r**3 - 2*r**2 + r + 1. Let o(a) = -4*k(a) - p(a). Let u(t) = -t**3 - 9*t**2 - 9. Determine -9*o(l) + 4*u(l).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -46739*g + 13694521. What is w(293)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 4)**2 + 0 + sqrt(475) + sqrt(475) + 3.\nAnswer: 50*sqrt(19) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 5*d + 3. Let p be h(-4). What is p rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + g - 3 + 6*g - 2*g + 2. Let u be a(4). Solve 0 = m - u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000062819 rounded to 7 dps?\nAnswer: -0.0000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3. Let g be o(0). Suppose f - 56 = -g*f. Solve -4*s + 5*b - 4 = 2, f = 4*s + 5*b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddqd when four letters picked without replacement from ddqdqqqqdqdqddqdqqdq.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2*3 - (70\/(-14) - -4). Let w = 13 + -10. Put 4, -4, o, w in ascending order.\nAnswer: o, -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**3\/3 - 8201*l**2\/3 - 32741*l + 122835 = 0?\nAnswer: -8189, -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 2. Which is the nearest to -1\/4? (a) 1\/8 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(143\/104)*(-2)\/36.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 2*y + 19. Let n be b(5). Suppose -120 = n*a - 3*a. Let x = 248 + a. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, j: 1, i: 4, v: 3, o: 2, b: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95\/4 + -24. What is the nearest to r in 2, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 17. Let q be -44 + 61 + (-4)\/1. Which is the nearest to q? (a) u (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502619\/4 + 126968. Let v be 6511\/(-5) - (-13)\/65. Let g = z + v. Which is bigger: 11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 7*u + 7. Let o be l(-8). Let g = 20802 + -20798. Which is the second smallest value? (a) o (b) g (c) -13 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 8. Suppose 0 = -4*t - 2*a + 92, 2*a = -s*t - a + 46. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -318470.1484718 from -21.\nAnswer: 318449.1484718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 83*j**2 + 62*j - 20. Is f(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2)\/x)**(-1)*x\/(x**7\/x)*(x\/x**(-2\/15))\/x)\/((x\/((x**(-1)*x)\/x))**(-2\/5)*((x\/(x**(-1\/5)\/x*x))\/x)**(9\/5)) assuming x is positive.\nAnswer: x**(-107\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 - 148620*n + 2821975 = 0. Calculate n.\nAnswer: 19, 29705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (5 - -5)) + -154. Let o = 213 - x. Suppose 360*g + 2*g**2 + 5 - o*g + 3 + 2*g**2 = 0. Calculate g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53418.2+611943\nAnswer: 558524.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -318*d. Let k(a) = 19*a. Determine p(k(j)).\nAnswer: -6042*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3314*s**2 + 3343*s**2 + 343*s - 343*s.\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1*sqrt(1008))**2*4 + 0 + (2*2*sqrt(1008))**2 + sqrt(1008) + 5 + -3*sqrt(1008))*2.\nAnswer: 336*sqrt(7) + 40362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34\/30 - (-10)\/(-75))*3. Suppose -y*v - 1203 = -2400. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*g + 0*g - 471 = 0, g = 4*n - 641. Let w = -32 - -37. Let o be n\/35 + w\/(5\/(-4)). Which is the third biggest value? (a) o (b) 2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -635 divided by -5\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -98*n**2. Let l(m) = 3*m - 2. Let u(a) = -7*a + 5. Let y(s) = -5*l(s) - 2*u(s). Determine y(v(k)).\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of -m**6\/120 - m**5\/15 + m**4\/8 - m**3\/6 + m**2. Let o be d(-5). Let r(q) = q**2 - 8*q + 7. What is the units digit of r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 7:14 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3593, 7980, 12367, 16748, 21117?\nAnswer: 25468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.039 + 6.839. Suppose 0 = 4*i + 10 - 14. Sort 3\/5, 0, i, l.\nAnswer: l, 0, 3\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 22, 4, -30, -86, -170?\n\"Answer: -k**3 + k**2 - 4*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14458, 14471, 14498, 14545, 14618, 14723, 14866?\nAnswer: 15053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7070 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: What is the greatest common divisor of 3024 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 41246?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7344*g**3 + 775*g**2 + 4?\nAnswer: 44064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2380198l to millilitres.\nAnswer: 238.0198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*m - 26*m + 1508 = 9*m for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/34 and 187\/30.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1921383 + -3.\nAnswer: 1921380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 137139401, 274278802, 411418203, 548557604?\nAnswer: 685697005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32 + 248*h**2 - 270*h**2 + 3 wrt h?\nAnswer: -44*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.87 and 19.\nAnswer: -225.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2911, 12019, 27199, 48451, 75775, 109171?\nAnswer: 148639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 15) to base 13.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89698236 and 22?\nAnswer: 986680596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303\/95 + 72\/19. Suppose -p*n**3 + 3\/5*n**5 + 0 + 0*n - 6\/5*n**2 + 6\/5*n**4 = 0. Calculate n.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 11)*6\/(-9)*2. Suppose 3*k - 2*l - y = 0, 0*k + 5*l + 18 = 2*k. Solve c + c = -k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 7*m. Let b(o) = o + 4. Let l be b(m). Find the second derivative of -2*z + l*z**5 - 2*z + 3*z**5 - 7*z wrt z.\nAnswer: 140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1356072 divided by -4?\nAnswer: 339018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = v + 4, 3*w = 6*w - 6. Let t be (0 + -1)\/(1\/v). Let r = 8 + t. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l - 2*n + 48, n - 29 = -3*l. Solve 3*f = 8*f - l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*z - 7. Let i(b) be the third derivative of b**4\/12 + b**3\/3 + 23*b**2. List the prime factors of i(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 289 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 2*m = -8*c - 178, 2*c - 176 = -3*m. Calculate the remainder when c is divided by 65.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 12:17 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -907276\/19 - -47764. Let c = x + -2806\/171. Find the common denominator of c and 38\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3 + -7 + (21\/(-9) - -7). Which is the nearest to r? (a) 0.17 (b) -1\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80989619, 80989617, 80989615, 80989613, 80989611?\nAnswer: 80989609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**2*y**4 + 8*i**2*y**2 + 132*i*y**4 + 2*i*y**2 wrt y.\nAnswer: 24*i**2*y + 3168*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = -112*g + 183 + 108. Sort -5, g, 2, 0 in increasing order.\nAnswer: -5, 0, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -280?\nAnswer: -280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 7*d - 3. Let m be y(-7). Let c = 0 + 0.1. Let v be ((-1)\/(-3))\/((-1)\/3). What is the nearest to c in -0.2, v, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 1\/7 (c) 97 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vggggggvvvgvvkg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 615521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519 and 9229377?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 p when two letters picked without replacement from bblblblfylttlyp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10, -3\/5, -1289675?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 + 3 + 133*d**4 - 7 - 133*d**4 - 913*d**5 + 5*d**2 wrt d?\nAnswer: -54780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -8*o + 0 + 0*o**4 + 0*o**2 + 0*o**3 + 2\/35*o**5 + 2\/21*o**6. Factor g(y).\nAnswer: 4*y**3*(5*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/840 - l**6\/480 + l**5\/240 + l**4\/96 + 3*l**2. Suppose k(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 4 = -r, r - 501 = 5*i - 244 - 233 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -930*a + 127. Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 - 2*d + 15. Let p be g(6). Let b = -2\/31 + 35\/62. Solve -q**p - 1\/2 + q + b*q**2 = 0 for q.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1261 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (259\/(-42) - -6)*1. What is the closest to 0 in 1\/4, 1, -2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*l - 635*l - 4*h = -38, -3*h = 3*l + 24 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let i(u) = u**3 - 7*u + 9*u - 2 + 2. Give i(h) - 2*v(h).\nAnswer: h**3 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 13\/(-7))*(-28 - 168\/36).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000145290497 to seven dps.\nAnswer: 0.0001453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 - -366\/5. Let b be 319 + -317 - 2\/(-8)*-2. What is the second biggest value in b, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*h**4*r*v + 2*h**4*v + 5*h**3*r*v - 4*h**2 - 26*r*v wrt h?\nAnswer: -408*h*r*v + 48*h*v + 30*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23\/21 - 3\/7. Let c(d) = 5*d + 3. Let k be c(12). Let u = k - 69. What is the nearest to o in 2\/3, u, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2621324 + -67?\nAnswer: -2621413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41624 + 107137 = 290*j + 949*j - 29890 for j.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-4*sqrt(5000) + sqrt(5000))\/(sqrt(250)*5)).\nAnswer: -3 + 18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57d + 1?\nAnswer: 57e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41421, -82710, -123997, -165282, -206565?\nAnswer: -247846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 718\/(-4)*(33 + (47 - 82))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 0.5, -6\/11, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -11. Let k be 0\/(2 + -3 + 0). Suppose k = -g + y - 4. Are g and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(102)\/(sqrt(18)\/sqrt(3)*5))**2 + ((sqrt(187) - sqrt(187)*2 - sqrt(187))\/sqrt(11) + 1)**2 + -3.\nAnswer: -4*sqrt(17) + 1701\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 - 86*a + 178. Let j be l(29). Which is bigger: j or 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-3) - 8\/6. Let c be (0 - 80\/1) + p. What is the units digit of (-549)\/c - 2\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 5*i + 6. Let o be b(-4). Suppose -5*u + 3 = o. Let h = u + 5. Are h and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 5*j. Let u(g) = 11*g - 5*g**2 + 3*g**2 - 3*g**2 + 0*g**2. Determine -9*t(v) + 4*u(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(143))\/(sqrt(110)\/(2*sqrt(10))) + 2.\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) + -5)**2*-5 + -3.\nAnswer: -148 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/((-18018)\/(-260)))\/5*-2*11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412 - 1422*c**3 - 910*c**3 - 2388.\nAnswer: -2332*c**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3976*h - 453259. Determine g(114).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 1083040373 to the power of 1\/2, to the nearest integer?\nAnswer: 32910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81.86 at most as big as -0.1175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/8 + 21*g**3\/8.\nAnswer: -3*g**3*(g - 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/69 and -91\/19764.\nAnswer: 454572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/926 and 99\/80.\nAnswer: 37040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 604\/(-42) + 114\/42 + -3 and 23\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 - -257. Suppose o*f - 2020 = 5558. Is 74 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*a - 61*a + 1113 = 0. Put -1\/5, a, -4 in descending order.\nAnswer: a, -1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -68 - 20) + -23\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: a (base 14) to base 7\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*k = -30, 5*j - 4*k = -2*k + 30. Let p(v) = -v**2 + 9*v - 6. Calculate p(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280*n = -1282*n + 10. Solve -n*r = 2*k - 25, 0 = -2*r + 3*r - k - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o**2 + 8*o. Suppose 4*v = -4*p - 24, -5*v + 4*p - 28 = 7*p. Let q be k(v). Solve -q*b = -56*b - 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a - 51. Let x be s(6). Suppose x = -3*k, -5*v + k - 50 = -k. Calculate the remainder when (v + -3)\/((20\/(-25))\/4) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 5 - 5*p**2 + 4*p**2. Let w be 6\/(-4)*(-140)\/42. Suppose w*d - 30 = -10. Give j(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -1242 - 1123. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * 4146.561.\nAnswer: -194888.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -140\/371499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 861\/105 + (-4)\/(-5). Suppose -291 = -r*i + 438. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*c = -701*c - 47322. List the prime factors of c.\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -153 - -158. Let i(d) = -2*d - 3. Let m(w) = -3*w - 9. Let b(h) = -5*i(h) + 3*m(h). Give b(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -32410*x**2. Let r(l) = -2*l. Determine r(p(d)).\nAnswer: 64820*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 989307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8922*f**3*p**3 + 171*f**2*p**3 + p**3 - 57*p**2 wrt f.\nAnswer: 53532*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*j + 30, 0 = 2*x - 25*j + 22*j - 22. Solve x*t = -4*i - 11, -2*i - 3*i - 4*t - 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from qquguqqqupguqrquq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-67)\/4 - 1\/4. Let b = l - -23. Let z(g) = 2*g + b - 2*g + 2*g - 1. Let f(r) = -r - 3. Determine 5*f(x) + 3*z(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -11*k**5\/9 + 216467*k**4\/9 + 15015385*k**3\/9 + 253634729*k**2\/9 - 220483970*k\/9 - 48382600\/9 = 0.\nAnswer: -35, -2\/11, 1, 19748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651.\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 1 + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215262 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 105.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 14) to base 12\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 621, 5549, 18935, 45009, 88001, 152141, 241659, 360785?\n\"Answer: 705*q**3 - q**2 - 4*q - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -17641, -1, 3, 4 in descending order.\nAnswer: 4, 3, -1, -7, -17641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 205\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27581.86 - 27582. Sort 1, o, -0.5, 0.1 in increasing order.\nAnswer: -0.5, o, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n - 12. Suppose 473*y - 460*y = 0. Suppose y = -n*a, -2*u - 7*a + 158 = -3*a. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q - n - 14, -25 = -4*q - 5*n. Let r = -67\/3 - -22. Let m = 379 - 383. What is the third biggest value in r, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m - 1. Suppose -5*a = 3 - 58. Let y(l) = 4*l**2 + 7*l**2 + 2*l**2 - l**2 + 11*l + a. Give 22*p(j) + 2*y(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2278.49 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**4 - 8955*k**3 - k**2 - 35512*k + 1?\nAnswer: 24*k**2 - 53730*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -157\/144 + 21\/16. Let j be ((-9)\/(-102))\/(3\/4). Which is the third smallest value? (a) 0.1 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28 and -45316071.6.\nAnswer: -45316043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.644 - 132.856. Let n = 133.5001642 + x. What is n rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (1 + -6 + 1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11213824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-265862)\/111748 - 25\/130\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 1, -1.4302?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 - 97*z**3\/2 - 145*z**2 + 2715*z. Factor a(x).\nAnswer: -(x + 1)*(x + 290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64 + -750737?\nAnswer: -751023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -100. Let k = 2722 - 2566. What is the remainder when k is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 8*s - 25. Let h be f(3). Let v be (h\/(-6))\/(1\/(-3)). What is the derivative of -5 - 113*n**3 - 22*n**v + 113*n**3 wrt n?\nAnswer: -88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 3*t**2 + 2*t**2)*(-t - 1 + 1) - 45*t**3 - 699 + 699.\nAnswer: -47*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x - 19. Suppose -w = 230 - 231, -4*n + 5*w = 21. Let v be a(n). Let y(l) = -l + 13. Let s be y(0). What is the highest common factor of s and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 2*j + 4 + 4*j**2 - 5 - 3*j. Let l be n(3). Is 26\/7 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 14 = -0*n - 3*m, 24 = 4*n - 5*m. Suppose 2 = o + q, o - q = -n + 3. What is the second derivative of -23*v - 24*v + 24*v + 0*v**o + 5*v**2 wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*c**2 - 27\/2 - 9*c.\nAnswer: -3*(c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.134666539899 - 1592.\nAnswer: -1592.134666539899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534.9156 weeks to milliseconds.\nAnswer: 323516954880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -537, -19 in decreasing order.\nAnswer: 1, 0, -19, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16155024 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -582506?\nAnswer: -582506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 3533*o**6\/120 + 4997*o**4\/12 - 3290*o**2. What is the second derivative of t(a) wrt a?\nAnswer: 21198*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1112, -1938, -2766, -3596, -4428?\nAnswer: -5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11373.939 milliseconds to days.\nAnswer: 0.0001316428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(832) + -1 - sqrt(832)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:34 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735351257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 24, 52, 118, 234, 412, 664?\n\"Answer: 2*f**3 + f**2 - 15*f + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2007)\/(-87) - (1652\/406 - 4). Let g(l) = l**3 - 6*l**2 - 5*l - 7. Let r be g(7). Solve -w = -4*k - r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743665 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-66) + (-2)\/12 - (608 - 607)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 151806240063939 and -0.2?\nAnswer: 151806240063939.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288) + sqrt(288) + sqrt(24)\/(sqrt(12)*1) + -2)**2 + 5 + -6*(-2*sqrt(2420))\/((sqrt(110)*2)\/sqrt(11)).\nAnswer: 11 + 62*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 57 - 15. What is the third derivative of -12*g**5 - 10*g**2 - b*g**2 - 22*g**5 wrt g?\nAnswer: -2040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5654 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: Add together 2 and -14681.\nAnswer: -14679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2\/351, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 2*x**3 + 2740 + 4*x + 5509 - x.\nAnswer: -2*x**3 + 5*x**2 + 3*x + 8249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 - 55 = 0. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 431 = -291 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 3. Let b be m\/(-1 - 10\/(-4)). Solve -3*k - 8 = -5*c, k - b*c - 3 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -342, -532, -570, -462, -214, 168?\n\"Answer: -o**3 + 82*o**2 - 429*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -273 or -274?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 18. Give f(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - (-2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13307364\/289 <= 46046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2050 - 1434. Let h = 921 - s. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6699361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6932477029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 - 11*f + f**2 - 7*f.\nAnswer: -4*f**2 - 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1796760 divided by -1302.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61767992 divided by -2375692?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**3 + 0*r**3)*(r**2 + 2*r**2 - r**2) - 2*r**5 - 6*r**5 + 3*r**5.\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (820\/(-697))\/(-14 + (-17835)\/(-1275))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 3:33 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + (-63)\/(-27). Calculate the highest common factor of z and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9631770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 12, -249*l + 34 = -254*l - 1053*i + 1052*i for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 8. Let x(l) = l**2 - 3*l - 6. Let m be x(5). Let d be f(m). Suppose 4*r + 12 = 4*j + d, -3*j - 5*r = -38. Solve 0 = -7*i + 4*i + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t + 813 + 819. What is the biggest value in 0.3, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/4 - 19*l**4\/4 + 15*l**3\/4 + 59*l**2\/4 - 23*l + 9 = 0. Calculate l.\nAnswer: -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**6\/120 + k**5\/60 + k**4\/24 - k**3\/3 + k**2. Let q be o(0). Let s = q - -5. Solve -s*w - 20 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s + 3. Let v(f) = 1138*f**2 - 11*f - 3. Determine a(v(h)).\nAnswer: 7966*h**2 - 77*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 41, 5\/3, -3, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -117 from -950.55.\nAnswer: -833.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -7. Let z be 162\/d - (-4)\/(-10). Let y(o) = 4*o - 5. Calculate y(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*f + 6587 - 6587)*(10*f**2 + 158 - 158 + (0*f**2 - 4*f**2 + 2*f**2)*(-1 - 2 + 5)).\nAnswer: 132*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782735419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - -30 - ((-8)\/3 + 2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(-160)\/(-50).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 10154598?\nAnswer: 10154600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 89*7.797\nAnswer: 693.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/16)\/(3\/40). Let r be (h\/(-25))\/(6\/(-20)). Is (r\/(-6))\/(6\/(-1071)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 193*x**2 - 919*x - 13935. Give o(198).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**5 - 600*v**4 - 17390*v**3 + 36600*v**2 - 18605*v.\nAnswer: -5*v*(v - 1)**2*(v + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i**4 + 2773594 - 3*i**2 + i**2 + 3*i**3 - 6*i**3 - i**3 - 2773596 - 2*i to p*i + a + m*i**2 + r*i**3 + d*i**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14171352 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 - p. Let z be w(1). Let k be (4\/z)\/((-1)\/(-4)). Which is smaller: k or -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/9 - 41396*x\/9 = 0. What is x?\nAnswer: -20698, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*l + 13*l. Suppose l = -3*o + 31 + 2. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/9 - -335\/36. Suppose 0*k - 123 = -3*k. Let n = k - 5. Find the common denominator of n and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 t when three letters picked without replacement from {k: 1, t: 1, u: 1, l: 4, s: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (1556058\/(-28)*(-4)\/(-6))\/(1\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*q**3 - 42*q**3 - 3 + 67*q**3 - 87*q**3.\nAnswer: -193*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -51. Suppose 4*n + v*n - t - 31 = 0, 2*n - 5*t - 11 = 0. What is the second derivative of -12*b + 1 - 9 - 27*b**5 + n wrt b?\nAnswer: -540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.15?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157037.\nAnswer: 157037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1666432 or -1666367?\nAnswer: -1666367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5515, -11187, -17017, -23005, -29151?\n\"Answer: -79*c**2 - 5435*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004204891 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273697924?\nAnswer: 2, 7, 116917783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*c - 10 = -922*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 16. Let j be v(-40). Which is smaller: j or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 146. Let a = d + 79. Find the third derivative of 0*m**2 + 3*m**2 + a*m - 23*m + 3*m**4 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 2*z + 16, 17242*z - 17238*z = k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 53, -5, 2 in ascending order.\nAnswer: -5, -0.4, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/53 + -1847\/212. Find the common denominator of (-207)\/60 - 2\/10 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*((1*sqrt(80))\/sqrt(4))\/sqrt(4))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 399 = 3*i + 380, 0 = 2*g + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 != -2096.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*-3)\/((-9)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 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: Expand (13*v - 25*v - 1 + 13*v)*(-v**3 + 3*v**3 + 0*v**3).\nAnswer: 2*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 16*b**2 - 484*b - 1936.\nAnswer: 4*(b - 11)*(b + 4)*(b + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c. Suppose -5*t - 6*x = -x + 70, -2*t - 35 = -5*x. Let v(y) = -3*y - 5. Let l(k) = k + 1. Let i(o) = t*l(o) - 3*v(o). What is -5*h(d) + 2*i(d)?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*-1)**2 + sqrt(99) + 1 - (1 + sqrt(132)\/(sqrt(36)\/sqrt(3)*-5)).\nAnswer: 16*sqrt(11)\/5 + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9072*s**2 - 22917*s**2 - 14329*s**2 - 12191*s**2.\nAnswer: -40365*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 17430.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2 - 2 + 3 - z**2 - 17*z**4 as t*z**2 + s*z + y*z**4 + u + m*z**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*n - 1775 = 110*n + 86*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 294 - 293.9999996043. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f - 18*f + 55 - 16*f + 56*f. Let m(i) = -i**2. Calculate m(c(z)).\nAnswer: -36*z**2 - 660*z - 3025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-6 - 6 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 671945 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1000101110110001?\nAnswer: -1000101110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a millennium?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 26 = 2*h, -74816*c = -74783*c - 4*h - 77 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -1173, -2581, -4537?\nAnswer: -7041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858202751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w + 4. Let g(s) = s**2 - 10 - 5*s + 1 - 2 - w. What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12 + 12 + 2043*y - 119*y. Let n(a) = -52*a. Give 6*m(w) + 221*n(w).\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -4*h**4\/3 + 33*h - 110. Let j(r) = 10*r - 4. Calculate k(j(s)).\nAnswer: -1600*s**2 + 1280*s - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*v**2 + 2\/9*v**3 + 0*v.\nAnswer: 2*v**2*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 419406 and 27911?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*o - 24, 5*o = -5*k + 45 - 10. Let w be (-1162)\/(-996) - 2\/12. Solve -z + o = -2*a + w, -3*a + z - 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r**2 - 46*r**2 + 171*r**2 - 43*r**2 - 38*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -1\/7, 0.1, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w + 4854. What is the smallest common multiple of 18 and s(8)?\nAnswer: 14346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 94\/16 - 37\/(-296). Let d(x) be the first derivative of 2*x**3\/3 - 3*x**2\/2 + 1. Let t(r) = -2*r**2 + 3*r + 2509 - 2509. What is o*d(g) + 5*t(g)?\nAnswer: 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 3 (c) 106 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7996236 micrograms in tonnes?\nAnswer: 0.0000000000007996236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**3\/6 + 3*k**2\/2 + 8*k + 412. Suppose u(t) = 0. Calculate t.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvvgnnfgiffg. Give prob of sequence gv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*h - 8 = 0, 4*z - 43 = 2*h - 9. Let s(y) = y - 5. Let m be s(z). Suppose 3*o + 0*o - 15 = m*k, 0 = 2*k + o + 3. Which is smaller: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 3*v**2\/2 - 26*v + 83. Let z be y(20). Calculate the highest common divisor of 272 and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -38) + (1 - (0 - 2)) - (-428 + 432)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, 0.26, 2, 4?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + -11)\/(42 + -41)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 15*n - 4. Let b(s) = 4*s - 1. Calculate -22*b(z) + 6*l(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/3 - 5150176*x\/3 + 3315539103872\/3 = 0. Calculate x.\nAnswer: 1287544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 + -0.67. Let a = 1.7 + -2. Let k = p - a. What is the third smallest value in k, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53804.8 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.48 - 112.52. Let z = -112 - r. Let o = 22 - 22.2. Sort o, z, 4, 0.5 in decreasing order.\nAnswer: 4, z, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 1. Let w(n) = 1660*n + 40. Let r(j) = 520*j + 13. Let k(b) = 16*r(b) - 5*w(b). What is 3*k(d) + 24*l(d)?\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -946611, -1893205, -2839799, -3786393, -4732987?\n\"Answer: -946594*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -14 + g + 14. Let s(m) = 0*m**2 + 9*m**2 - 2*m**2. What is s(d(t))?\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2435 and 64047805?\nAnswer: 2435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 22. Suppose -3*c = -k - 202, -4*k = -8*c + 5*c + 187. Calculate the remainder when c is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.57 + 5.03. Let l = -0.4 - z. What is the closest to 2 in -5, 2\/9, l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 10*v + 18. Let s be (-32)\/6*30\/20. Let c be q(s). Let n(x) = 2*x - c*x - 3 - 4*x + 3*x. Determine n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 104\/12 - (-1)\/3. Suppose 5*d - 7 - 28 = 0. Is d less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 11*f**2 - 15*f + 6. Let z be g(-12). Let k = z + 293. What are the prime factors of k?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1) + -5 + 6. Let o(r) = 2*r**3 - 3*r**2 - 5*r + 4. Let p(s) = -s**3 - s**2 + s + 45. Calculate the remainder when p(0) is divided by o(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/30 - 14*a**2 - a + 10. Let k(s) be the third derivative of -s**5\/60 - 5*s**2. Give -6*f(h) + 5*k(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 0.4, 3\/2, 0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Let o = 2 + 1. Suppose 4*y = 7*y - 6. Sort g, o, y.\nAnswer: g, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 1926 + 1924 = 0, 2*a - 220 = 228*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -19. Let v be -1 + 1 + 1*7. Let i = t + v. Sort 4, 0, i in descending order.\nAnswer: 4, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5 = -w, 0*r = -w + 3*r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 2*p**3\/3 + 32*p + 38. Let z(h) = -7*h + 2. Give f(z(c)).\nAnswer: -28*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8 - -6)*((-101241)\/18 - 0\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x**(-19\/2)\/x)\/x)\/x)\/x**(-20))\/(x*x*x**(2\/13)*x*x)**(-2\/85))**12 assuming x is positive.\nAnswer: x**(114006\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -41*q + 2. Let x(v) = 40*v + 2922. Let j be x(-73). Let m(i) = -41*i + 2. Determine j*t(s) - 3*m(s).\nAnswer: 41*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 1 = 5*v, 7*v - 2*v - 3 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 257, 378, 499?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 + -5.2. Let k = -1 + 2. Which is the nearest to q? (a) -2\/7 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -61. Let u = 0.49 + 0.3. Let l = -7.79 + u. Which is the closest to -1? (a) g (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.85 - 2.15. Which is the nearest to 2\/5? (a) u (b) -6 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001941519 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 s, and 1 d when four letters picked without replacement from {k: 1, a: 2, s: 3, d: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40713613 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 141 = 4*s + 179, -71 = -5*r - s. Is r greater than or equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -139 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/249018 and 4\/1883805?\nAnswer: 290105970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -734, 44, 1.609 in descending order.\nAnswer: 44, 1.609, -734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 48 = 13*v. Solve v = -5*h - 3*x, 5*h - x + 0*x + 28 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33*t + 6*t - 3*t)*(0 + 5 - 4)*(-4 - 2*t**3 + 4) in the form s + p*t**2 + q*t**4 + v*t + u*t**3 and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 157.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from dqqccdcqqqqdqdddcd.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -247\/6 + 41. Let k = 56 - 56. Which is bigger: k or l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5475414 millimeters in nanometers?\nAnswer: 547541.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -113 - 313. Suppose 5*j - i = c, -6 = -2*i + 5*i. Calculate the greatest common factor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(((f\/f**2)\/f*f)\/f*f)*f**(-1)*f*f*f*f)\/(f**(-2)*f**(1\/2)) assuming f is positive.\nAnswer: f**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 11647?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Let b(l) = 583*l**2 - 278*l**2 - 176*l**2. What is b(c(w))?\nAnswer: 129*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 16. Suppose 93 = 3*y + 2*b + b, 0 = -2*y + w*b + 69. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2011*q + 16085. What is j(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2) + 3 + sqrt(2)) + (sqrt(72) + -4)**2)*-6.\nAnswer: -474 + 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118649\/210252 + 12\/2503. Find the common denominator of -95\/196 and w.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.7 - -2.7. Sort -2\/3, -8, a in decreasing order.\nAnswer: -2\/3, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15.42 - -15.92. Which is the nearest to 1? (a) i (b) 1\/10 (c) -0.4 (d) -15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17496 and 108.\nAnswer: 17496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 greater than or equal to 610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -1695820?\nAnswer: -1695820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 487048 (base 11) to base 4\nAnswer: 2330022031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13095935, -13095937, -13095939, -13095941?\n\"Answer: -2*y - 13095933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63350275.\nAnswer: 5, 19, 197, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20803574, -41607161, -62410754, -83214353?\n\"Answer: -3*s**2 - 20803578*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**6\/720 + 3*f**5\/40 + f**4\/6 - 3*f. Let a(s) be the third derivative of x(s). Let h be a(4). Solve 0*b - h = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (105\/28)\/5 - (-834)\/8. What is the highest common factor of x and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = -84. What is the tens digit of (-4)\/5 + n*(-104)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b. Let v(g) = -24*g - 42. Let i(h) = -h - 2. Let u(q) = -105*i(q) + 5*v(q). Give u(r(x)).\nAnswer: -45*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/2 + 3 + 3. Let g = -10 + 17. Let l be 23\/g - h\/1. Which is the nearest to l? (a) -0.5 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmjjjjjjjajjjjmm. Give prob of sequence jmjj.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3606992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/288*(-32)\/4.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 2*h**4 - h**4)*(-3 - 2 + 6)*(-3*h - 2*h - 4*h).\nAnswer: -9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2224 less than or equal to 475\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 9*j - 9. Let d be t(-6). Let y be 1\/(d\/(-6) + 2). What is the second derivative of -6 + 3*l + 8 - y - 3*l**5 wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5380 is divided by 5086?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 + 20*d. Let b(o) = 7*o**2 - 45*o. Let l = -319 + 328. Let x(h) = l*c(h) + 4*b(h). Let j(s) = -270*s**2. Determine j(x(v)).\nAnswer: -270*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 191*s + 9. Let l(r) = -286*r - 14. What is -8*g(j) - 5*l(j)?\nAnswer: -98*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)\/(p\/(p*(p*p*p\/((p\/p**17*p)\/p)*p)\/p)*p))**(-3\/25) assuming p is positive.\nAnswer: p**(-21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 q, and 1 y when three letters picked without replacement from cytqtqccqhqhvhqtcycc?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 0.5902757?\nAnswer: 0.5902757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 223*b**2 + 40924*b + 80948 = 0. Calculate b.\nAnswer: -118, -2, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/441 + -18013\/29988. Calculate the common denominator of 20\/3 and f.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1630557168, 1630557167, 1630557166?\n\"Answer: -d + 1630557169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558*b + 1571*b = -4745. Put -4, b, 2 in decreasing order.\nAnswer: 2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u + 30. Determine m(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 2*n**4 + 2*n**3 + (3*n - 2*n + n)*(14842*n**2 - 7420*n**2 + 242*n**3 - 7423*n**2 + 3*n).\nAnswer: 482*n**4 - 2*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4, 3*q - 2*f - 3*f + 8 = 0. Suppose -4*i = 3*b - 4*b - 15, -4*b = -2*i - 10. Let h = b + -9. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = -0*o - 4*o, -3*h = 15. Suppose -2*p + 4*a + 6 = -p, 1 = -a. Let m(t) = -5*t - t**2 + t + p + o*t. Calculate m(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 18*l**2 - 19*l - 3. Let s(r) = 3*r**3 - 36*r**2 - 38*r - 6. Let t(h) = -3*s(h) + 5*w(h). Is t(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 11*x - 1. Let j be f(0). Which is the closest to 0? (a) -2\/21 (b) j (c) 0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uufvufvuvu. Give prob of picking 2 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1506511652?\nAnswer: 2, 376627913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -3*y - 5*g + 11, -16 = -4*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*p = 8*u + 3, 5 = u - 5*p. Let c be (u - 0)\/(3 + -5). Suppose c = 2*l - 3*l + 840. What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzjdjgzjggjzzjzzjgj. Give prob of sequence jzjj.\nAnswer: 98\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(30) - sqrt(30))\/sqrt(10) + (-1*(-1 + sqrt(3)))**2.\nAnswer: -4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, z: 5}. Give prob of picking 1 b and 1 z.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2579.2 and 0.001.\nAnswer: -2.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*sqrt(2736)*2 + -1 - (-1 + sqrt(2736) + -4 - 1*sqrt(2736)*-6)))**2.\nAnswer: -58752*sqrt(19) + 28465920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*m + 497*m + 490*m - 1986*m + 9 + 496*m.\nAnswer: -13*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*g + 32*g + 532 = -3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s + 2. What is the smallest common multiple of 1 and j(8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -4, 1\/10, -566, 2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(560)*-1*-6 - 5*(-1*sqrt(560) + sqrt(560)))\/(3*(2*sqrt(847) - sqrt(847)) - 3*(sqrt(847) - sqrt(847)*-1 - sqrt(847) - sqrt(847))).\nAnswer: -3 + 8*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347 <= 1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 5, a: 5}. What is prob of picking 3 r and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1. Suppose -73*x + 5 = -78*x. Calculate a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 11:01 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -524, -625, -732, -845?\n\"Answer: -3*t**2 - 92*t - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 1.407?\nAnswer: 2.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 6*l - 5. Let r be c(7). Factor -1 + q**r + 0*q**2 + 4*q**2 - 4*q**2.\nAnswer: (q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42565 is divided by 1621?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 940 = 9*m. Let y = 470 - m. Solve -45 + y = 9*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -8. Suppose -2*i = y*a - 19, -5*a + 5 = -2*i - 2*a. Let n be 3 - (15\/6 + -2)*6. Sort i, n, -2.\nAnswer: -2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:07 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200914782 divided by -25699.\nAnswer: 7818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698463.\nAnswer: 13, 130651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.64767 to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128.61 - -780.11. Round s to the nearest 10.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1214928 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 = -2*o, -1 = 5*y + 3*o + 11. Suppose -n + 40 + 27 = y. Suppose t - 3*z = 23, -2*t + 16 = z + 3*z. What is the remainder when n is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67837297*h - 67837251*h + 414 = 0 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -2*k**3\/15 - 2*k**2\/5 + 6*k\/5 - 9. Factor h(d).\nAnswer: -2*(d - 1)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/(-6))\/(924\/504).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -4*m**3\/3 + m**2\/2 - 7*m - 4. Let w(g) = -17*g + 3. Give -9*l(a) + 4*w(a).\nAnswer: 4*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.4 - 15.39748. Round t to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y\/(y**(1\/5)*y*y*y))\/y)*y*y**(-5\/2))\/(y*(y**(-1\/26)\/y*y)\/y)**(2\/21) assuming y is positive.\nAnswer: y**(4651\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 213022242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 - 3*f + 4. What is the remainder when m(0) is divided by (0 + 0)\/1 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.97 + 0.03. Let o = b - 12. Let r = 0.6 - o. What is the closest to -0.1 in -3, r, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 3*v + (13 - 39 - 12)*(-1 + 1 - 2)*(3*v - v + 0*v)*(3 - 7 + 3) to the form c + r*v and give r.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-81))\/(1\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232087 by -151.\nAnswer: -1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f + 543*f**2 - 664*f**2 - 4*f to the form n*f**2 + r*f + b and give n.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15\/2 - 31\/4. Let s = 6 + -8. What is the closest to -3\/5 in s, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303408 divided by -18963?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/3 (b) 2\/51 (c) -117 (d) -0.3 (e) 1\/10 (f) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*((p\/(p*p*p*p**(-1\/2)\/p))\/p)\/p*p*p))**(-2\/41)*p**4\/(p*p*(p**4*p)\/p) assuming p is positive.\nAnswer: p**(-83\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v + 17 - 17 + (2 + 0 + 0)*(-11*v + 0*v + 4*v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.003 + 18. Let u = v - -0.303. What is the second biggest value in 4\/5, 2, u, 1\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*6)\/(3*sqrt(64) + sqrt(64)).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8269 bigger than -636792\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 6.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -12. Let q be (273\/(-42))\/(2\/4). Put 2, u, 5, q in descending order.\nAnswer: 5, 2, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s + 19*s - 25*s. Let t(n) = -26*n**2 + n - n. Calculate t(y(g)).\nAnswer: -104*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6\/18 - 78\/(-9) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k - 4. Let u be p(-2). Let w(y) = -y - 2. Determine w(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -225?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 66 = 3*x. What is the closest to x in -9, 8, 1\/9, -1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(405) + 5 - sqrt(405))*3 + 2*sqrt(405) + 5))**2.\nAnswer: 2880*sqrt(5) + 8080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9147356 to the power of 1\/2, to the nearest integer?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 3*h + 5, 12*a - 14*a + 5*h + 12 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222 divided by -582?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 30*w**3 + 7*w**2 + 9*w + 35. Let a(h) = -21*h**3 - 5*h**2 - 6*h - 23. What is 7*a(m) + 5*u(m)?\nAnswer: 3*m**3 + 3*m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 n when four letters picked without replacement from {v: 4, i: 2, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -168.04. Let o = -1.96 + m. What is the nearest to 1 in -4, 1\/2, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1491108 rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1707 + 1707.1. Which is the closest to h? (a) 5 (b) -1 (c) 4\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30229673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824071211 >= 1824071210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -33*q - 4. Calculate n(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - -0.1. Let m = 46 + -46.1. What is the second smallest value in x, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - z**3)*(-18435*z**2 + 11680*z**2 + 9364*z**2 + 1 + 2*z**2 - 1 + (4 - 2*z - 4)*(1 - z - 1) - 2*z**2 - 3 + 3).\nAnswer: -2611*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 303*w**2 - 6*w - 15. Let f be c(-8). Let o = f - 5574981\/287. Are o and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + s**2 + 102*s**3 + 3*s**4 - 39 - 64*s**3 - 5*s**4 + 60*s**3 to the form k*s**3 + y*s**4 + o + j*s + g*s**2 and give k.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41298.81us to seconds.\nAnswer: 0.04129881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8964)\/1992)\/((-9)\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8996.989391 + 8997. What is k rounded to four dps?\nAnswer: 0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Put 5, 3, p in increasing order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let h(i) be the third derivative of 0*i**3 + 0*i + 2*i**2 + 1\/12*i**4 + 0. Give h(n(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**2*z - 1683942*o**2 - 687*o*z - 2963*o + 8 wrt o?\nAnswer: 2*z - 3367884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -142 and 0.0987.\nAnswer: -141.9013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k**(17\/4)*k)*k*k**16\/k*k assuming k is positive.\nAnswer: k**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4714 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1777 + 1793.82. Let m = -16.8 + u. Sort -3\/8, m, -5 in ascending order.\nAnswer: -5, -3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6936, 6935, 6934, 6933?\n\"Answer: -q + 6937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 16*c + 1 + 16*c)*(2*c**2 - c + c) to the form y*c**3 + p + x*c + f*c**4 + m*c**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -5*n + 21, -19*p = 13*p - 352 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*2 - (-1 + sqrt(11))*3)**2 + (2 + sqrt(1331))**2*-5)*-4.\nAnswer: 760*sqrt(11) + 25564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1250*h**2\/7 + 619901600*h\/7 - 76855598736512\/7.\nAnswer: -2*(25*h - 6199016)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 > -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(300) - -2*sqrt(300)).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4347, -8882, -13549, -18348, -23279, -28342, -33537?\nAnswer: -38864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92020 + -92020. Factor q - 8\/3*s - 4\/3*s**3 + 14\/3*s**2 - 2\/3*s**4.\nAnswer: -2*s*(s - 1)**2*(s + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:39 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*d - 93*d + 2*u + 530725, -5*d + 884545 = -4*u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -449242 and -449332 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/l**(-19))\/l)\/l))\/l)\/(l*l**23) assuming l is positive.\nAnswer: l**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76*i**6*y - 7*i**6 - 240*i**2*y + 4*i wrt i?\nAnswer: -9120*i**3*y - 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27614.84 nanometers in micrometers?\nAnswer: 27.61484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 17*i**3 + i**2 - i. Calculate m(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 69163 + 43*w**2 - 69163 as o*w**2 + q*w + h and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333.0000907 + -333. What is g rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/10 - c**4\/12 + 2*c**3\/3 + 20*c**2. Let t = 50 + -36. Calculate the lowest common multiple of t and h(-2).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**2\/2 + 3. Suppose -5*u + 532 = -u. Let z(h) = 69*h - u*h + 68*h. What is r(z(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - 87. Suppose 4*j - u = -2*i + 1, -8 = -4*i - 3*j. Solve 9 - 3 = i*d - 3*p, -2*d = -p - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 1, w: 4, d: 2}. Give prob of sequence dww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 325?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -226, -365, -504, -643, -782?\n\"Answer: -139*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -o + 5, 15 = 4*o + 4*g - 5. Let h be 3\/o*(2 + 3). What is the third derivative of 3 - h - c**4 + 3*c**2 wrt c?\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from {w: 2, p: 1, o: 3, f: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let u be -2*1 + (-6)\/(-2). Let p = u + 0. What is the remainder when n is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = x + 5, 0*x - 19 = 3*x - 5*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92093.1 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 7*u**2 - 5*u - 4. Is g(6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-280)\/30*36\/48.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2 = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 3:56 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 1 = -m, -2*m = -36*f + 32*f - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 2*y - 30, -5531*p + 40 = -5526*p - 13*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-10))\/((-168)\/(-16) + -9). Let j = -4.88 - 0.12. Which is the closest to -2\/7? (a) j (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ee4ce (base 15) to base 4\nAnswer: -2320311212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 52 (b) -5 (c) 0.2 (d) -107 (e) 337\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w**5 + 846154*w**3 - 470*w - 15609 wrt w.\nAnswer: 160*w**3 + 5076924*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -44, -70?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -21, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 416199 - 416194. Let p = 15 - 13.6. Which is the closest to -1? (a) 1 (b) -2 (c) p (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 0*c + 1 - c**2 - 1\/3*c**3 + 1\/12*c**4. Let d(a) be the second derivative of k(a). Differentiate d(g) with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/5 + 162*x\/5 - 164\/5 = 0. What is x?\nAnswer: -82, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00131166668 to 6 decimal places.\nAnswer: -0.001312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 + t - 6*t + 2*t**3 + 6*t - 5*t**4 as j*t**2 + y*t**3 + i*t**4 + n + h*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, b: 3}. What is prob of sequence zbbb?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10080*i**2 - 3*i + 2. Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-63)\/6) + (-48)\/462.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 16 = -2*w. Suppose -x = w*x - 20. Solve -4*r + 4 = -x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 23*i - 30. Let z be b(5). Let m be (-5)\/((-50)\/z) + (-2)\/4. Solve m*q - 6 = 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 149*l + 94*l - 18825. Put 1, -42, l in increasing order.\nAnswer: -42, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392685 to the power of 1\/2, to the nearest integer?\nAnswer: 1842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22394 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 293, 1.4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 315018*d**2*g**4 - 2*d**2*g - d**2 + 665002*d*g**2 + 3*g**4 - g**2 + g wrt g.\nAnswer: 7560432*d**2*g + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -504 - -2294. Suppose -n + 5*c + 167 + 207 = 0, -5*n + 5*c + u = 0. What is the units digit of (0 - n\/(-4))*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 3*n**7\/70 + n**6\/40 - 3*n**5\/20 - n**4\/8 - n**2 - 3. Let p(s) be the second derivative of j(s). Factor p(v).\nAnswer: 3*v*(v - 1)*(v + 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9539.024km in nanometers?\nAnswer: 9539024000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)*l**(6\/5))**(-44)\/(l\/l**(-3)*l**(-5))**(-49) assuming l is positive.\nAnswer: l**(-641\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3906?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r + 1. Let f(u) = -3*u**2 - 13*u - 5. Determine -6*b(x) - f(x).\nAnswer: -3*x**2 + 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1575 divided by -315\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - 2. What is u(3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -312, -1208, -2686, -4740, -7364, -10552?\n\"Answer: o**3 - 297*o**2 - 12*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145327293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, -0.03, -222?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77942783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6)*-3*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-1 - -3))*11. Let f be 52\/(-44) + (-2)\/s. Let q(w) = 6*w + 3. Let r(p) = -24*p - 13. Let k(m) = 9*q(m) + 2*r(m). Calculate k(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/12*1\/(4\/2900). Let c = -721 - y. Solve 0 = 4*o - 2*x - 0*x - 18, -o = c*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 (base 4) to base 13\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10329, -10346, -10363, -10380, -10397, -10414?\n\"Answer: -17*c - 10312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 2*c - 3. Let r be y(-2). Let a(w) = 139999*w + 5. Let v be a(r). What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9699541*b**3 + 3573294 wrt b.\nAnswer: 29098623*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 17 = -l, 0 = -4*l - 3*t - 4 + 30. Solve 4*z - 20 = 2*j, -20*z - 10 = l*j - 22*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1132 (base 4) in base 5?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r = -231. What is the common denominator of 58\/(-32) + (-3)\/3 and r\/(-60) - 1\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590652 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 m when three letters picked without replacement from {m: 1, w: 2, i: 2, d: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -1\/2*v**2 + 1\/3*v**3 + v**6 + 59 + 0*v**4 + 18*v + 0*v**5. Find the second derivative of a(k) wrt k.\nAnswer: 120*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138b2b (base 12) to base 5.\nAnswer: 40421413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2285*b - 81*b**2 + 2285*b.\nAnswer: -81*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76777933.\nAnswer: 17, 23, 179, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16400.2 and -0.07556?\nAnswer: 16400.27556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (5 - 2 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400 = -150*g - 125*g - 300 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y**3 + 9*y**2 - 4*y + 10. Let g(w) = 5*w**3 - 8*w**2 + 5*w - 10. Let q(v) = 6*b(v) + 5*g(v). Let o be q(-14). Put o, 13, -3 in decreasing order.\nAnswer: 13, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16 - -0.1. Let d = g - -0.08. Let w = d + -0.06. What is w rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t = -9*t + 1080. Differentiate -154 - 129*i**2 + t - 88*i**2 with respect to i.\nAnswer: -434*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c + 134. What is the common denominator of 9\/8 + 1 + 1 and c\/36 - 241\/(-36)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -6, 1, 4, 895, -11.\nAnswer: -11, -6, -5, -3, 1, 4, 895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-3) - (-22)\/33. Let z(d) = -d**l + 8 - 3*d - 3*d + d + 0. Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27 + 1d?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence so when two letters picked without replacement from oosskqskkkkksbok.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/9))\/(j*j**2)*j\/(j\/(j\/(((j\/j**(-8))\/j)\/j)))*j**(-4\/3)\/j)\/((j*j**(2\/11))**(-29))**(6\/23) assuming j is positive.\nAnswer: j**(-3424\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fyifyfyy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*a**2 - 34 - 132 - 34*a**2 - 21*a**2 as x*a**2 + l + p*a and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6083105, -6083091, -6083065, -6083021, -6082953, -6082855, -6082721, -6082545?\n\"Answer: m**3 + 7*m - 6083113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-46648)\/588*(-9)\/63\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.92 - 19. Let t = 0.18 + d. Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*a + 120 - 2*a**2 + 83*a + 89*a - 18*a**3 with respect to a.\nAnswer: -54*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = -9. Let o = -473 + 275. Find the common denominator of 341\/o - (0 + y) and 91\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 (base 15) in base 3?\nAnswer: 20120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 3*j - 4*l, -4*l = -12. Let a be (j\/4)\/(4\/80). Let w = 313 + -322. Is a equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 6. Let y be z(0). Suppose -y*p + 2*p + 20 = 0. Let r(o) = -5 + p + o. Let u(m) = m. Determine r(u(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7 = -1. Solve 0 = -i + 3*z + 4, 5*i + w*z + 0*z = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26332 + 2311. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -26 + -33 + 32 + 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1148 - 1145. Calculate the greatest common factor of q and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -767 - -767.4. Sort r, -4, 2\/7, 1 in decreasing order.\nAnswer: 1, r, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -182. What is the remainder when 85 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dffd when four letters picked without replacement from fffffdffdfdfff.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 26 + 2*-1. Determine n so that 12*n**3 - 2*n - l*n**2 - 3*n**3 + 19*n**5 + 3*n**3 + 90*n**4 + 35*n**5 + 2 = 0.\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:23 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*u + 40 = -162, -5*a = 3*u + 1003. Let i = 33 - a. Is i a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13 - -5) + 2 - (-6 - -9)) + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22915 - -22917. Let p = -0.1 + 0.2. Which is the fourth biggest value? (a) -2\/11 (b) -5 (c) g (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -2\/19, -0.124, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.044306 rounded to 4 dps?\nAnswer: 0.0443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5666145 divided by -5.\nAnswer: 1133229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/36)\/(1\/93). Let c = j - 31. Suppose c = -3*v + 2*v - 2*h + 43, 0 = -v + h + 43. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7973868 (base 11) to base 13\nAnswer: 2b79223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q = -45*q - 24. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.27. Let t = -0.4 + -0.1. Let l be (0 + (-12)\/(-28))\/(-3). What is the second smallest value in y, l, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 - 112960*j + 338862 = 0.\nAnswer: 3, 56477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15*12*16\/4032\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 26. Let s = 0.6 + -0.2. Put s, d, -4 in increasing order.\nAnswer: -4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o - 3. Suppose o*v = -v + 51. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q + 5. Let g be k(-4). Let f = 50 - g. Suppose 6 = r - 253. Calculate the greatest common factor of f and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39820000 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (96\/24)\/(0 - -1). Solve 13 = 2*p - 3*d, 13 - b = 3*p - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-96 - -30) + (-21 - -16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 1 in descending order.\nAnswer: 6, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttan. Give prob of sequence tta.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + f**2 - 7*f + 7. Let b(o) = o + o**3 + 0*o**3 + o - 2 + 0*o. Let r(w) = -7*b(w) - 2*h(w). What is the third derivative of r(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u + 110. Let y be (-22)\/u + (-144)\/(-15). Let h = -3 + 5. What is the greatest common factor of h and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 156 + 166 = 0. Let j be 142\/(-16) - 2\/16. Let h be ((-12)\/j)\/(1\/3). Put z, 3, h in increasing order.\nAnswer: z, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150438401\/42 + -3582048. Let l = 1170\/7 + x. Find the common denominator of l and ((-30)\/4)\/(168\/(-68)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15*u = -3*u. Solve -364*g**3 - 3 - 3*g + 367*g**3 + 3*g**2 + u*g = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**3 + 2*n**3 + 0*n**3)*(4*n - 4*n - 3*n) + (2*n**4 + 2*n**4 - 2*n**4)*(1 - 2 + 0) - n**4 + 0*n**4 + 0*n**4 + 5 - 5 - 2*n**4 - 3*n**3 + 3*n**3 + n**4.\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 1\/156294?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 - t + 1. Let p(h) = -5*h**2 - 5*h + 1. Let j(n) = -5*o(n) + p(n). Differentiate j(w) with respect to w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85567964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-1) - (-2688)\/280. What is the second smallest value in 1, b, -2\/15, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j - 20. Let d be q(7). Let g be -1 - (17\/(-6) - d\/3). What is the closest to 0 in -2, 0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 10*q**2 - 11*q. Let t be p(9). Let f = t + 37. Calculate the highest common factor of 209 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1599, -1589, -1601, -1647, -1739?\n\"Answer: -2*x**3 + x**2 + 21*x - 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -11. Suppose -39 - 162 = 3*o. Is o\/(-3)*6\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -948 - -5087. Let z = t - 28915\/7. Calculate the common denominator of z and (1\/6)\/((-2)\/123).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23449404\/24*18\/99 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -332, 0.4521, 6\/5?\nAnswer: 0.4521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1694 and 924?\nAnswer: 10164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201310244 (base 5) to base 15.\nAnswer: 10e169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044500573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 1 - -4) + -18 + 17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*b + 21, 15 = 5*b - 4*g + 5*g. Let w = 2 - 0. Let s be 0\/(w - (0 + 0)). Solve s = b*u - 2*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -591.\nAnswer: 5\/591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.61 and 7.07?\nAnswer: 10.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16370537*a**4 - a**3 - 418*a**2 + 462839 wrt a?\nAnswer: 392892888*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/15 + 1074*a**2\/5 - 8624*a\/5 + 51808\/15.\nAnswer: 2*(a - 4)**2*(a + 1619)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 7128, 3, 1\/3, -0.5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/9 + o**5\/15 + o**4\/2 - 7*o**3\/9 + o**2\/3 - 7. Solve n(r) = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120102 - -1231?\nAnswer: -112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19038088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 30*s**2 - 2. Let j be m(1). Suppose 0 = -5*x - 3 + j. Let z(i) be the second derivative of i**4\/12 - 5*i**3\/6 + 5*i**2\/2 + i. Give z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82764 is divided by 2672?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 1050478?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -55*a**2 + 268*a + 37. Suppose 528 = 2*u + z, 3*u + 5*z - 790 = 4*z. What is the least common multiple of u and o(5)?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 + 112. Suppose j*p = 32*p + 3378. Is ((-1)\/2)\/((-2251)\/p - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*u**2 - 15*u**2 - 28*u**2)*(-u + 2*u - 2*u) + 5*u**2 - 3*u**3 - 5*u**2 to the form p*u + b*u**3 + q*u**2 + z and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.8. Suppose 228*p - 214*p = -70. Which is the third smallest value? (a) 4 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8 equal to 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8131147?\nAnswer: 8131147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*o + 1022*o + 280 = 2022*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-214)\/(-240) + (-292)\/1095?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 405\/8 (b) 2\/2879 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/126 and (6\/144)\/((-84)\/(-6576))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17446 - 17438. What is the closest to 10 in -1\/2, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -882, -850, -782, -666, -490, -242, 90, 518?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 724300.1 weeks?\nAnswer: 7300945008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 11) to base 8.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uboeeobbbeobbbu. What is prob of picking 1 o and 1 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 17. Let i be s(10). Let o = i + 46. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803870.\nAnswer: 2, 5, 80387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 + 8*y - 17. Give h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 67, 34, 2, -1, -3, 5 in decreasing order.\nAnswer: 67, 34, 5, 2, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 5*u + 7. Give w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604106 is divided by 27436.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 326949*d**3*w + 28208*d**3 - 752*d - 53*w**3 wrt w.\nAnswer: 326949*d**3 - 159*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -342 + 26423 + (-6)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 4*c**2 + 1. Give i(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.2600242873 and -163.\nAnswer: -173.2600242873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 2.41?\nAnswer: 2.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 100 = 9*f. Let w be f + (-1 - -45) + 4. Suppose -m = -3*m + 46. What is the greatest common divisor of w and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1229, -2833, -5503, -9233, -14017, -19849, -26723, -34633?\n\"Answer: g**3 - 539*g**2 + 6*g - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 1, 34, 101, 214, 385?\nAnswer: 626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*g + 33, 3*b - 5*g + 6 = -6*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-24)*(-1)\/(-1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -547 - -543. Let g be ((-2)\/i)\/((-10)\/20). Let w = -2.4 - 0.6. What is the closest to g in 11, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/7 - (-33)\/7. Let u = -379\/42 - -55\/6. Which is the third biggest value? (a) y (b) -5\/11 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*r**4 + 2*r**2 + 6*r**3 + 18*r**4 + 28*r**3 - 4*r**4 - 4 to the form h*r**3 + w*r + k*r**4 + v*r**2 + j and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 48*g - 379. Give c(7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k - 3. Let z be y(-2). Factor -z*u + 4*u - 2*u**2 - u.\nAnswer: -2*u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 11*s**2)*(12*s - 3*s + 4*s) + 0*s + 0*s - 3*s**3 + 3*s**3 + 5*s**3 - 5*s**3.\nAnswer: 143*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*p + 34 = -2, 4*x = 2*p + 42. Let a be (0 + 1)*0 + 1. Let f = a + x. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = -4*d + 23, 2*t = -4*d + 4. Suppose d*f + 27 = -6*f. Let z be (0 + -2)\/(f\/(-594)). What is z rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 16690?\nAnswer: -417250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-18)\/(-9)*(5 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, j: 8, h: 1, t: 1, b: 6}. What is prob of sequence bjh?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, w: 4, f: 1, n: 6, p: 1, g: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:46 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*g**2 - 81*g - 101*g**2 + 81*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppnjp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -10 - 5. Let n be ((-18)\/s)\/((-7)\/(-5)). Let r = 3.7 - 4. Which is the third smallest value? (a) 5 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -3\/5, -1, 0.2, 0.0773?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:22 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d**2)*(3*d**3 - d**3 - 4*d**3) - 2*d**5 + 3*d**5 - 2*d**5 - 10*d**5 + 10*d**5 - 6*d**5.\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac3 (base 14) to base 7.\nAnswer: -6133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/5 (b) 0.2 (c) -0.03 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:03 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 34. Suppose 3*m + 2*b = -134, -i*b - 50 = -m + 2*m. What is the tens digit of (m\/(-15))\/(-2 + (-51)\/(-25))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*s + 79*s + 141*s in the form j*s + o and give j.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzvfvzbzvvbbbvfvb. Give prob of sequence vv.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -250*x + 224*x for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 4. Let f(i) = 2*i + 1. Let n(x) = 3*f(x) - t(x). Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (6 - 0)) + -1 + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2. Let r(p) = -p. Suppose 7*q - 20 = 3*q. Suppose 0 = -q*w, 2*f + 5*w = -0*f - 2. Let k(v) = 3*v. Let u(b) = f*k(b) - 2*r(b). Give u(y(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -9480000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.3 - 1.7. Let z = -21 - b. Let g be 582\/(-216) + 2 + 4\/9. Sort z, -2, g in decreasing order.\nAnswer: z, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1044.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1628 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145082410?\nAnswer: 2, 5, 11, 1318931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 1910488490*f + 182498313521124005.\nAnswer: 5*(f + 191048849)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30148, -69985, -109808, -149611, -189388?\nAnswer: -229133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(21*98\/(-33957)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6246 = 5*g, 3*g - 6234 = -2*g - 4*h. Suppose 67 + g = 3*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19012221721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.8. Let v = o + 0.3. Let z be ((-2)\/4)\/((-3)\/3). What is the smallest value in v, z, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 10*z**3 + 8\/3*z**4 + 0*z**2 + 0 + 92*z. What is the second derivative of i(q) wrt q?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6088 divide 274909728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -33. Let v = 23 - 46. Let q = v + n. Which is bigger: q or 11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 112\/117 (c) 0.1 (d) -20 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:19 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let x(y) = y**2 + y + 10. Let l(z) = -2*p(z) - x(z). Let f be l(5). Let c be f\/(-65) + (-56)\/(-26). Solve 3*b = b + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -525 (base 9) in base 11?\nAnswer: -35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4491 - -361.4491. Which is the fourth smallest value? (a) h (b) 5 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 1396*o**2 - 8425*o + 75. Give x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r + 45 - r - 45 in the form c*r + k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**2 + v - 1. Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*b**2 - 99*b**2 - 219*b + 1878*b**2 - 7 wrt b.\nAnswer: 3700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/23 - (-1 - 60). Let z be 2\/g + ((-4)\/8)\/(-1). Suppose -2\/5*b - z + 2\/15*b**2 = 0. Calculate b.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:55 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 53*o + 243. Let d(u) = 52*u + 194. What is -6*c(j) + 7*d(j)?\nAnswer: 46*j - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -122 - -125. Suppose w*p - 10372 = 20423. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.939685 - 20\nAnswer: -15.060315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 4443*n**2 - 4655280*n - 630110404 = 0. Calculate n.\nAnswer: -121, 2282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36149 is divided by 11273?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1503455319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:29 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1997169730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7318361.\nAnswer: 5\/7318361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -2. Let d be (59 + -58)\/(-1 + (-30)\/(-4)). What is the nearest to -1 in y, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.609 - -0.549. Let n = g + 0.06. Suppose -j - 3*l + 8 = -0*l, 15 = 5*l. What is the third smallest value in n, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/164)\/(59\/236).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, i: 5}. What is prob of sequence il?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19104, -19170, -19278, -19428, -19620, -19854?\nAnswer: -20130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 32*q**2 + 128*q - 420. Determine r(28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - v**2 - 194*v - 7. Give k(13).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + 2*u)*(0 + 0 + 2) + 6 + 4 - 31551*u + 31561*u.\nAnswer: 14*u + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 6*r = -h + 4, -3*r = 5*h + 49. Let i(d) = 453*d**2 - 16*d - 20. Let p be i(h). What is p rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, d: 7}. What is prob of sequence dddd?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146502 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 8:01 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 8, -24184?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*d - 40 = 0, 9 = 5*i - 2*d + 37. What is the biggest value in i, -10, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 665*t - 14086. Determine p(21).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.14 from 611.\nAnswer: 612.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 373*b + 274*b - 146*b + 14529 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 368953\/36 - 10246. Calculate the common denominator of w and -143\/1140.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m**2 - 2*m**3 - 2*m**2 + 1 - m**2 + 2*m**4 to k*m**3 + b*m + n + f*m**4 + w*m**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -183*t**3 + 3 - 13*t**2 - 6 - 27*t**2 + 0 wrt t?\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14142 divided by -6.\nAnswer: -2357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25\/(-300))\/((-3)\/(-15)*(-31550)\/2780) and -34\/6941.\nAnswer: 41646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 29312*o - 732795. Give v(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 2*h**3\/3 + 5*h. Let i(s) = -s. Determine i(y(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4711, 4736, 4775, 4828, 4895, 4976?\nAnswer: 5071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, -1\/380, -0.4?\nAnswer: -1\/380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 0\/(-2) + (-1212)\/9*-183.\nAnswer: 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 9*w + 10. Let n be z(-7). Let u = -957\/5 + n. Factor 2\/5*d + 1\/5 - u*d**2.\nAnswer: -(d - 1)*(3*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/7? (a) -2 (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 + 8. Let t be 0\/(1 - 0\/1). Suppose 0 = -5*s - 0 - 10, -u - 3*s - 6 = t. Calculate x(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 9:34 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3727*m**2 - 4. Let h(b) = -b**2. Calculate g(h(q)).\nAnswer: 3727*q**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -30*2*(-1)\/4. Let b = 9 + -6. Calculate the greatest common factor of b and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-8) + 6\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 12 - 9)*(-2*p**2 - 2*p**2 + 0*p**2).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 54. Suppose 2*y = 2*p + 7*y + 283, 524 = -4*p + 4*y. Let b = p + 148. What is the remainder when z is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2. Let l(a) be the second derivative of 0*a**3 + 0 + 0*a**2 - 28*a - 5\/12*a**4. Give l(i(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {w: 1, z: 1, v: 2, k: 2, n: 1, x: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2100)\/(-825) + (-12)\/22. Solve 3*z = 3*h - 3, -a*z + 18 = 22*h - 19*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 15*h**2 - 27*h - 17. Calculate k(11).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, v: 2, x: 1}. Give prob of picking 4 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*3*4 + 5)**2 + 0 + -1 + -3 + sqrt(76) + -2*(sqrt(76)*-1 + sqrt(76) + sqrt(76)).\nAnswer: 238*sqrt(19) + 10965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1711 + 885 + 827 - 22*b.\nAnswer: -22*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.5, -0.87, -1 in decreasing order.\nAnswer: 0.5, -0.3, -0.87, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 7, b: 5}. Give prob of picking 3 q and 1 b.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 526*i*r**2 + 2*i*r - 2596737*i - 7*r**2 + 2*r wrt r.\nAnswer: 1052*i*r + 2*i - 14*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*v**2 - 306*v**3 - 715*v**2 + 1 - 2 + 305*v**3.\nAnswer: -v**3 - 1099*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i - 3*i - 15*i + 4.\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3 + (-538)\/(-179)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*m + 5810 = 0, 0*t = 3*t + 5*m + 8731. Let n = -50 - -34. List the prime factors of 2\/n + t\/(-24).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/5203 and -52\/43817?\nAnswer: 5301857","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*d = 6*c - 8, -3*c - 4*d + 18 = 0. Solve 0*k + 3*x = -3*k - 21, -2*k - c = -x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*o + 31 = 0, -3*g + 0*o = 5*o. Let d be (-6)\/(-10) - (-2)\/g. Let z be (1 - d)\/(-1 - 0). Solve -a - 5 + 0 = z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + 27.1673.\nAnswer: 27.0973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 28205*l + 28200.\nAnswer: 5*(l - 5640)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3429, 2777, 2115, 1437, 737, 9, -753, -1555?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -9.116\nAnswer: -45.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 44174.59775936\nAnswer: -44176.59775936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u, 2*o = -5*u - 4 - 4. Let z = o - -3. Which is greater: -14\/19 or z?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559861 to the power of 1\/2, to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by 683.\nAnswer: -95\/683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78053, 78058, 78063, 78068, 78073, 78078?\n\"Answer: 5*v + 78048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1179883 - 1179883 - 1247*y**2 + (-y + 3*y - 4*y)*(2*y + 3 - 3).\nAnswer: -1251*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 45013 in decreasing order.\nAnswer: 45013, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 137758011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 369 + -358. Suppose -10*f = -j*f + 5. Solve -c = 5*m - 14, 0*c = f*m + 5*c - 30 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -33*q**3 - q**2 - q. Let m be c(-1). Suppose m = -b - 2*b. Let w = 2 - b. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u - 4*k - 6925, 3*k = 3*u + 4155. Is 2\/9 - u\/45 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-1409\nAnswer: -1549.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 2, h: 1, t: 4, o: 3}. Give prob of sequence thp.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -11. Is l at most 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 13*y**2 - 80*y + 391. Let t(b) = -6*b**2 + 40*b - 196. Let o(k) = 9*t(k) + 4*w(k). Factor o(a).\nAnswer: -2*(a - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 8*k - 3. Let l(f) = f**2 - 7*f - 2. Let m(h) = 6*l(h) - 5*o(h). Calculate the least common multiple of 6 and m(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - (0 - (-3 + (-474)\/(-252))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1652, 1578, 1372, 968, 300?\n\"Answer: -11*l**3 + 3*l + 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - h**2 + h - 3. Let d be w(3). Suppose m = -3 + d. Calculate the remainder when 42 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n. Let l(c) = -51*c**2 - 2*c. What is r(l(w))?\nAnswer: 459*w**2 + 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 4. Let i be s(2). Let g be 1360\/30*i\/(-4). Suppose -g = -4*z + f, -2*z - 6*f = -f - 56. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**5\/60 - a**3\/3 + 1. Let w(h) be the third derivative of k(h). Let v(i) = 14*i - 5301777 + 5301777. Calculate w(v(y)).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 27 + 29 + 3*m + (5*m - 6*m - m)*(-4 + 2 + 4) as y + k*m and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/36*(-8)\/(-40))\/(14\/(-12))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (46\/(-12) + 2). Let j = -6054\/7 + 36359\/42. Sort 4\/9, -0.01, p, j.\nAnswer: p, -0.01, 4\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/47 (b) 2\/5 (c) -0.4 (d) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357629 and 2123.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -61 (c) 0 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2623282 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(475) + -1 + sqrt(475))*5 + 0)**2.\nAnswer: -2000*sqrt(19) + 190100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 40*j**2 - 11*j + 30. Let i be z(3). Which is smaller: i or -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) - (0 + sqrt(17)))*5*-6*-3 - ((sqrt(153) - (sqrt(153) + sqrt(153)*2))*-4 - sqrt(153))\/(sqrt(45)\/(sqrt(5) + (sqrt(125) - sqrt(5)))).\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v + 3*a + 5, 3*v - 3*a = 6. Solve 2*d - 3*d = -v, 4*o + 5*d = 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -9*m**5 + 206*m**4 + 1111*m**3 - 2980*m**2 - 1284*m + 2592 = 0?\nAnswer: -6, -1, 8\/9, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67655 is divided by 9383?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119228287 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 12249*o**3 + 96*o**2 - 24*o - 6867. Let k(b) = 2450*b**3 + 20*b**2 - 5*b - 1373. Let g(i) = 5*j(i) - 24*k(i). What is the derivative of g(w) wrt w?\nAnswer: 7335*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 34. Solve y + 4 + 5 = -a, -m = 5*a - y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 161452?\nAnswer: -64580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 495*m + 496.\nAnswer: -(m - 1)*(m + 496)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 46868.9 kilometers?\nAnswer: 46868900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * 2.4.\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11202140 (base 5) to base 15\nAnswer: -1eab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -37*z**2 - 2*z + 2. Let y be p(-2). Let a be (2 - y)*(-1)\/(-2). Let w = -19 + a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*c = 20, 0*c + 4*c = -l + 5. Let b be (-97)\/l - (-6)\/(-10). Let v = 40 + b. Calculate the highest common divisor of 20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 8*y + 2. What is the units digit of m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - c + 1 + 11*c**3 - 3 as j + v*c**3 + d*c + w*c**2 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96622 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 2*a. Let p(g) = g**2 - 10*g + 5. Let h be p(9). Let n be 2\/(h*(-4)\/16). Sort -1, a, n in increasing order.\nAnswer: -1, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -742154\/9 + 82605. Let a = -143 + l. Factor -a*p**3 + 2\/9*p**4 + 2\/9*p**5 + 2\/9*p - 4\/9*p**2 + 2\/9.\nAnswer: 2*(p - 1)**2*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-136) - (-2762)\/(-23477)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5677488, -11354973, -17032458, -22709943, -28387428?\n\"Answer: -5677485*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1260 and 336735.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 - 162. Calculate the remainder when 160 is divided by c\/6 - 9\/(-27).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 8:57 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:39 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 130.09 and 6095.7.\nAnswer: 6225.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -73\/6, -1, 20\/9, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 1899 = -6*r - x, 2*r + x - 762 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 4. Solve -y*i = i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 5*m = -14*q - 25, q + 5*m + 25 = 0. Let g = 78.8 + -79. What is the closest to q in 0.3, -9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012914 rounded to 5 decimal places?\nAnswer: -0.00129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v - 3. Let r(n) = n**2 + 10*n + 4. Let f be r(-7). Is z(f) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232225 (base 7) to base 12.\nAnswer: 20104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = 14. Factor -1 - 78 + 3*u**x + 47 + 2*u - 40 + 4*u.\nAnswer: 3*(u - 4)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - 32. Let t be ((-1355168)\/h)\/((-1)\/(-171)). Suppose t = -5*s - 4672214. What is s rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-45)*5 + ((-161)\/3960 - 0) and -37\/4.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -503, -1067, -1631, -2195, -2759, -3323?\n\"Answer: -564*n + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*q - 3*i, i = -5*q - 8 + 21. Factor 4*c**2 + q*c - 7 - 2*c**2 + 0*c + 3.\nAnswer: 2*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 482 + -477. Let i = 57 - 89. Let b = -13 - i. Solve b = t*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 37. Let z be t(12). Suppose -5*g + 23 = -2*h, 4*g = 2*g - h + z. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.56 - -0.06. Let u = q + 6. Which is the smallest value? (a) 5 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*g = -48, 5*n - 124 = -0*n + 4*g. Let y(f) = 3*f + 8. Let q be y(-4). Let v = -90110 + 90111. Put q, v, n, 5 in descending order.\nAnswer: n, 5, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (525\/4 - 2)\/(10\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bdb + -2?\nAnswer: bd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvsw when four letters picked without replacement from wwqsqwlwmwvwlvsqlwww.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -61*p - 4787. What is the remainder when y(-87) is divided by 121?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*y + 912 = 428 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148348.\nAnswer: 2, 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -64887 - 618394\nAnswer: -683281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (2 - -5152) - 4. Is u*-4*(-6)\/48 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 52 = 38. Suppose 9 = -15*k + c*k. Solve 16 = k*q - 5*f, -7*q + 3*q = -5*f - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183401509 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*u**3 + 7*u**2 - u**2 - 6*u**2.\nAnswer: 603*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from hfhffhhfhhhhhhhhfff.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -580.52 + 583.52. Let z be (-1)\/(-1)*(-18)\/(-2). Let d = z + -13. Which is the smallest value? (a) d (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13209198 and 13209203 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 3. Let y be v(-7). Calculate the smallest common multiple of (44\/(-5))\/(y\/10) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a0bd (base 14) in base 10?\nAnswer: -104439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 46 = -3*r, -3*r - 2*r = -3*k - 76. Let t = 15873 - 15824. Calculate the greatest common divisor of t and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f**3 - 23*f**2 - 123*f**3 - 123*f**3.\nAnswer: -170*f**3 - 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 12*i**5 + 2055*i**4 + 43737*i**3 - 4280538*i**2 - 9812196*i - 2184840 = 0.\nAnswer: -102, -2, -1\/4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 202 and 1488?\nAnswer: 150288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*c**5*f + 7447*c**2*f + 308*c*f - c + 8*f wrt c?\nAnswer: 1700*c**3*f + 14894*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 775\/(-75) + (-8)\/(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99 + 40 + 9)*(-8 + 3 + y**2 - 2*y**2).\nAnswer: -148*y**2 - 740","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -2*q**2 + 4. Let s(d) = -2 + 4 + 5 + 0 + 8*d. Let j(z) = z + 1. Let n(t) = -14*j(t) + 2*s(t). Give n(l(v)).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 1\/9 (b) -1 (c) 63\/10 (d) 3\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1.5. Let f(n) = -2*n**2 - 6*n + 9. Let h be f(-4). Let x be -2 + 2 + h*(-2)\/(-6). Do g and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 28 + 245 = 0. Let v = -86 - t. Suppose -10 = 5*m - 4*n, m - 13 = 2*m - 3*n. Solve 0 = m*b - 7*b + v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Solve r*v - 2 = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43761 (base 8) in base 16?\nAnswer: -47f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 919389094 to the power of 1\/2, to the nearest integer?\nAnswer: 30321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (51 + -149 + 38).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242911200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 659 + -539. What is the least common multiple of d and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 7*t**2 + 18*t + 5. Let s be c(-9). Let k = 6 - 4. Let o(q) = 2 - 7 + 3*q**k - 2 - 2*q - 2*q**2. Give o(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3872 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 8?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 1184.\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/3)\/(6\/36). Suppose -2*p + 6 = 0, -i - p + 2 = -w*p. Solve -2 = -2*d + 5*a - 3, -i*a = -5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by 59.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -67 - (-6 - -3)\/(1 - 0). What is the remainder when (-8)\/s - (-231)\/8 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 40. Suppose 0 = 10*z - x*z - 303. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1500)\/(-18))\/((-5)\/72360). What is z rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -2\/3, 0.08, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*(2 + sqrt(396)))**2 + 4 + (sqrt(396)*-2)**2 + -3.\nAnswer: 336*sqrt(11) + 7970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -189*h**2 - 3*h + 3. Let v be 4 + 1*(-6)\/3. Let l be n(v). Is l\/(-2) + (-2)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2183, 1, 3 in increasing order.\nAnswer: -2183, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5012159 nanometers to meters.\nAnswer: 0.0000000005012159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 7. Let y be w(6). Suppose y*i + 0 = 14. Let l(u) = u**i - 1362*u + 1362*u. Let t(m) = 50*m**2. Determine t(l(o)).\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2565 divided by -55401\nAnswer: 855\/18467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 18*q**2 - 417. Let y(x) = -3*x**2. Determine s(y(n)).\nAnswer: 162*n**4 - 417","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:56 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 13859016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -51.3, -11448, -5\/2 in increasing order.\nAnswer: -11448, -51.3, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -6, 4.\nAnswer: -6, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-6\/11)))**33 assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -5\/24*w**6 + 0*w + 166*w**2 + 0 + 0*w**3 + 1\/2*w**5 - 1\/42*w**7 + 0*w**4. Solve g(o) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 + 5*p**2 - 3*p - 5. Calculate b(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbi when three letters picked without replacement from {b: 1, i: 2, j: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*n + 61, 3 = n - 5*m - 17. Let v = n - -10. Find the second derivative of -32*j - j**2 - 5*j**2 - v*j**4 + 21*j**4 + 3*j**2 wrt j.\nAnswer: -48*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-2)*(-1860)\/(-45) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12023011212 (base 4) in base 5?\nAnswer: -403241103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -6.2 (c) 4 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157096, -314193, -471290, -628387, -785484?\nAnswer: -942581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -14. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x + 3*w - 1 = 0, 0 = -x + 2*w - 9. Let c(u) = u + 7. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.164 in -13.1, -2, 33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/7 + (-3)\/(42\/(-1628))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 37 + (25 - (-9 + 21)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10719909 by 1191101.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/6)\/8*1\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9730 - -9759. Solve 8*r = 3*f + 9*r + 13, -5*f - a = -2*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 948 = 1032. What is the greatest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 0)*(1 + 0). Let r be a\/(2 + 1) - 1. Suppose r = 5*p - 4*p - 6. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*m**4 - m**3 - 474*m**2.\nAnswer: 4080*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + (-1 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 n, and 1 p when three letters picked without replacement from {p: 3, n: 4, j: 2, r: 6, g: 2}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -8257931 < -24773795\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 57 (base 10) to base 13.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11264443 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5455164.\nAnswer: 2, 3, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84225.\nAnswer: 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15091 (b) 1\/110 (c) -0.02 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 0 + 9 + 69*h - 8. Suppose 3*f - 6 = -0*f. Is n(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, -0.5, -1\/45 in ascending order.\nAnswer: -0.5, -0.12, -1\/45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1306 + -1279. Calculate the highest common factor of 1431 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j - 4. Suppose -40 = 10*f - 10. Give x(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6) + 5607\/(-4914)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16550202 (base 7) to base 6.\nAnswer: 54501453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 8*c**2 - 6. Let j be y(-7). Suppose 2*s + 3*z = -2*z + j, 0 = 2*z - 10. What is the least common multiple of 1 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 128*w + 29*w - 22*w as p*w + c and give p.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3.473876.\nAnswer: 3.473876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -30*x + 3 + 26*x + x**3 - 2 + 3*x**2. Suppose 10 = -0*h + h. Let v(w) = w - 13. Let a be v(h). Calculate d(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:16 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*q**3 - 21*q**3 - 32*q**4 + (-1 + 1 - q**3)*(-2*q - 5 + 5))*(-1 + 1 + 1).\nAnswer: -30*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*w, -y + 3*w = y - 27. Let t(k) = -2*k + y - 3*k - 18. Let j(b) = 6*b + 10. Let l(o) = -6*j(o) - 7*t(o). Determine l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -343*d**5\/5 + 147*d**4\/2 - 28*d**3 + 4*d**2 + 11. Factor z(s).\nAnswer: -s*(7*s - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z - 3*z**2 - 4 - z**3 + 1 + 5. Determine y(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226*c**3 - 8*c**5 + 226*c**3 + 2*c)*(-1 - 1 + 1).\nAnswer: 8*c**5 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g**2 - g. Let d be y(1). Let u be (1 - 5)*d\/(-4). Solve 5*a = -k + u, 2*a + k + 8 = 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 5*i - 4*m - 53, -i + 12 = 2*m. Let h = -176 + 180. Solve -2*z + 6 = -2*p, h*z - i = 2*p - 0*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5458473588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 10 = p - 5*x, 2*p + 2*x - 28 = 0. Solve 3*s - 5 = n, -s = 6*n - 4*n + p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(54))\/(-3*sqrt(81)).\nAnswer: -sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = h + 95, 0 = -3*i + h + h - 107. Let a be (-395)\/55 - 2\/i*3. Does 52 divide 13\/2*(-350)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 4479 = 13761. Round l to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = 3*c, p = 3*c - 3*p + 15. Let f(r) be the first derivative of -3*r**4\/4 - 2*r**3\/3 + r + 5. Give f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*y = -138*y - 792 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -144 - -79. Let x be -1*(1 + 1) + p\/(-13). Solve 5*m - 4*z = 10, m - x*z = -2*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6168 + -6163. Let a(f) be the second derivative of 2*f**2 + 1\/5*f**4 + 15*f + 0 + 1\/25*f**x - 6\/5*f**3. Factor a(b).\nAnswer: 4*(b - 1)**2*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*l - 21, 4*a - l - 27 = -0*a. Let z(r) = -r**2 + 8*r + 3. Let q be z(a). Suppose q = 6*s - s. Solve w - 4*v - 20 = 0, -s*w + 6 = 2*v + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/88 + (-8649)\/(-198))\/((-6)\/(-4))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1402*d**2 - 1575*d**2 - 1391*d**2 + 4383*d**2 - 3.\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:27 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -3*m + 52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -1\/3 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 360 = 5*p, 5*a + 328305*p = 328310*p - 360 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/4 + 3177*t**4\/4 - 6349*t**3\/2 + 9521*t**2\/2 - 12693*t\/4 + 3173\/4.\nAnswer: -(t - 3173)*(t - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, -4, 5.\nAnswer: -125, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3289 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2095)\/(-1257))\/(((-12)\/24)\/((-126)\/20)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 30651664, 30651667, 30651672, 30651679, 30651688, 30651699, 30651712?\n\"Answer: n**2 + 30651663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f - 18 + 6*f - 64*f**3 + 60*f**3 - f + 7*f**2. Let y be x(4). Let b = 91 - 212. Which is bigger: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -35) + -82 + 28.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*w = 3, -4*w = -3*d - 1173 + 1140 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838405711?\nAnswer: 1838405711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1025, 1162, 3365, 5584?\nAnswer: 7819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1392, 1391, 1390?\n\"Answer: -r + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7779 - -0.4779. Which is the second smallest value? (a) h (b) 0.2 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/68128 and 123\/320.\nAnswer: 681280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25926561\/13 - 1993359. Are y and 992 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3529.42 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/133 + (-8)\/14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18625 + 16806. Which is the nearest to 0? (a) 2 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505284 is divided by 1133.\nAnswer: 1099","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -714*g + 712*g + 97, 2*p + 6 = 0. What is the greatest common divisor of 492 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:37 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11965 - -11965. Which is the fourth biggest value? (a) -0.4 (b) 7 (c) r (d) -2 (e) 3\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 682*k = 673*k + 120, 0 = -x - 4*k - 43 for x.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u + 1. Let f be s(0). Let d(b) = 13*b**2 - 7*b**2 - 4*b**2 + 2*b - b - 1. What is d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j**(2\/9)*(j**(-2\/5))**37*((j**1*j)\/j*j**(-3\/7))**27 assuming j is positive.\nAnswer: j**(268\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-7)*-1*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820634 (base 12) to base 8.\nAnswer: 7602610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*p - 19, -d - p = 4*d + 67. Let z be d\/52*(-1 - 11). Which is bigger: z or 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45*(-22 + (-2 - (-448)\/18))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11113548, -11113552, -11113556, -11113560, -11113564, -11113568?\n\"Answer: -4*i - 11113544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*u + 189*u + 7 - 7.\nAnswer: 338*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 - 729\/4. Which is the third biggest value? (a) t (b) -1 (c) 1\/886\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v + 1. Let r(l) = 5*l**3 + 2*l**2 - 27*l - 28. Let p be r(-1). Give w(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.77738 weeks to seconds.\nAnswer: 5308559.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.71076387 + 3.\nAnswer: 4.71076387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-0.36.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/40*1*(-10)\/78?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20773 is divided by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17523450*-4\nAnswer: 70093800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.76 plus 98?\nAnswer: 135.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*j - 5351 + 3*j + 5360 to r + p*j and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 149.55455 and 3.5.\nAnswer: 153.05455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651355540 divided by 3014.\nAnswer: 216110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1442404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) -169\/24 (c) -347\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425\/170*1*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 1 - 306 = 0. Let d(c) = -6. Let v be 2*(-2 - (-2 + 2)). Let s(i) = i + 7. Determine t*d(f) + v*s(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 932284 - 27499 = 88*p - 744511. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-6)\/(4 - 1)). Suppose -4*t - r + 17 = 0. What is the highest common divisor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 p when four letters picked without replacement from {u: 2, p: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1201 divide 1782135216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {z: 1, j: 6, n: 2, o: 1, p: 9}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**2 - 6*t. Let c(v) = 1378*v**2. What is g(c(b))?\nAnswer: 32281028*b**4 - 8268*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/3 - 1\/3. Suppose 0 = -j*t + t + 8. Suppose u - 10 = -t*u. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -233725 and -0.2.\nAnswer: 46745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*k - 16 = 0. Let c be (k\/(-6))\/((-6)\/(-27)). Suppose -c*w + 25 = -4*z, 0 = w + 2*z - 3 - 12. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 + 19*j**4 + 61*j**4)*(j - 1 + 1 + (-1 + 1 + j)*(-4 - 2 + 4) + 2*j - j - 3*j).\nAnswer: -246*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**3\/6 + p**2\/2 + p. Let n be q(-2). What is the closest to -1 in 0.3, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 z, and 2 y when four letters picked without replacement from {z: 1, y: 5, p: 4, i: 5, v: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085084657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b - 16 = -4*y, -4*b - 24 = -4*y. Suppose y*k - 55 = 29. What is the remainder when k is divided by 17\/((-340)\/88)*(-25)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 91 in 3\/14, 0.5, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -72*x - 5193. Calculate p(-72).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s. Let p(n) = -16*n - 14. Let y(b) = -5*b - 5. Let d(o) = 4*p(o) - 11*y(o). Suppose 6*x - 2 = 7*x. Give x*d(j) - 5*i(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27.2. What is the second smallest value in -2, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201b (base 14) to base 10.\nAnswer: -5513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24\/17? (a) 0.3 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 144 = -9*t. Suppose 4*v - 3*p = -4*p + 24, 2*p + t = 3*v. Solve -2*h + h = 4*o + 15, -v = 4*o - 2*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1325 - 1325.3. Which is the third smallest value? (a) i (b) 1 (c) 0.5 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r. Let b be (5 + (6 - 13))*-697. Let f(y) = 1204*y - 2428*y + b*y. Calculate f(k(z)).\nAnswer: -170*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 6 = -21*l, 2*q - 4109 = -3*l. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 70*q**3 - 265*q**2 - 6*q + 3. Let g(o) = 139*o**3 - 529*o**2 - 10*o + 5. Let b(p) = -3*g(p) + 5*w(p). Find the third derivative of b(k) wrt k.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 223.2196km?\nAnswer: 223219600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1958516 (base 11) to base 15\nAnswer: 454615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 64. Let t(c) = -2*c**2 + 22*c + 9. Let a = -38 - -53. Calculate the remainder when t(y) is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8944*r**5 - 8946*r**5 - 496*r**2 - 7*r**6 - r**6 wrt r.\nAnswer: -960*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(68)*2 - sqrt(68)))**2*-4.\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/3 + -4. Let r = 329.217 + -329.217. Sort s, 1\/7, r, -0.07 in decreasing order.\nAnswer: s, 1\/7, r, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9801 and 363?\nAnswer: 9801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 815389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 16*m - 5. Let q(f) = 9*f - 3. Let o(a) = 5*q(a) - 3*u(a). Let v(c) = -16*c**2. Give v(o(i)).\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 65*b**2 + 3*b - 2. Let g(r) = -67*r**2 - 4*r + 3. What is 2*g(w) + 3*q(w)?\nAnswer: 61*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78051 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s + 1237 - 571 + 1713 = 0 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 155. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:48 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - 61. Let l = -26 - k. What is the remainder when l is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -6, -2, 0.06, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edpd when four letters picked without replacement from {x: 3, d: 3, e: 1, p: 3, o: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -834, -1665, -2496, -3327?\nAnswer: -4158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f3f + 1?\nAnswer: -1f3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 150017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18306, 18304, 18306, 18312, 18322?\nAnswer: 18336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.995 + 21.495. Which is the third biggest value? (a) -252 (b) -2\/7 (c) 4 (d) x (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (299\/(-1794))\/((850\/765)\/((-5)\/(-12)))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 18*l + 58 = 13*l, -3*g = -3*l - 24 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17403*q**3 - 6364*q**3 + 11651*q**3.\nAnswer: 22690*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*c**3\/4 - 18532*c**2 + 1805*c - 44 = 0.\nAnswer: 2\/41, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-6)\/(-112)*4)*(42768\/10164)\/(-162)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((204\/1)\/2)\/(17 + -5 - 6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from urrrrrrurru.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*m - 792*m + 265*m + 201*m.\nAnswer: -117*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/2400 - (-1)\/3. Let w = -1\/75 - i. Let q = -512.8 - -513.2. Which is the second biggest value? (a) w (b) -5 (c) q (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 724, 5, -1, 4, 0 in ascending order.\nAnswer: -4, -1, 0, 4, 5, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 49. Solve z*j - 3*j = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(55\/(-6)))\/(126\/(-60)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 312 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1887 - -27e?\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61060028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -135.9006 - -150.898. Let n = -15 + j. Round n to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4*k - 43, -15*k + 20*k - 55 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3 - 27. What is the least common multiple of 40 and 80\/k*(10 + -1)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49792*j**3 + 39419*j**3 - 192912*j**3 - 165035*j**3.\nAnswer: -368320*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 575*a**5 - 14655*a**4 + 19670*a**3 + 20940*a**2 - 13000*a + 960 = 0.\nAnswer: -1, 2\/23, 2\/5, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 27.415?\nAnswer: -16.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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: Is 504312253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 201 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 237.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -2*l. What is the derivative of l - 3 - 4*w**2 - 3*w**2 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/((-16)\/(-648)). Suppose -t - 2 = -l, -t = -3*l - 5*t + c. Let q = -1 + l. Solve 12 - q = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101000010001 (base 2) to base 3.\nAnswer: -2012201111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a\/a**2))\/a*a*a))**(36\/7)*a**(3\/2)\/((a\/(a\/a**14))\/a*a*a) assuming a is positive.\nAnswer: a**(-261\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6304 and 8?\nAnswer: 6304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.111, 0.7, -3, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -148224 times -5\nAnswer: 741120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 12*i**2 + 7*i - 4. Let p be s(-11). Let g = -20 + p. Suppose u = 5*u - g. Solve 4*q = 7*q - 3*a + 9, 3*q + u*a = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 5*y - 16. Suppose -4*i = 5*j - y, 0 = -2*i - 3*i + 4*j + 25. What is the remainder when 18 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -663764\/3 or -221256?\nAnswer: -221256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2992777*o**2 + 14519947 wrt o.\nAnswer: -5985554*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 + 115\/(-30))*309\/850 and 61\/8?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 98. Determine l(-40).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 3:42 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024799 to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 + 8*c**3 + 68*c**3 + 9*c**3.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g + 15. Let n(p) = -15*p + 44. Let s(x) = 17*d(x) - 6*n(x). Find the first derivative of s(o) wrt o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -20. Suppose 3*m - k = 2*m. Solve -6*x + m*x = 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874.03 rounded to the nearest 10?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 156 + 260. What are the prime factors of 3\/(-3*4\/z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104606 and 14634?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-111)\/21 - -3 - -2. Let h be -2 - 1*(-10)\/6. Which is the third biggest value? (a) g (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-6 - (-9 - -6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 8:50 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2254 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 - 1 = -u, -5*s = 3*u - 5. Let g = s - 1. Does 4 divide 1 - (-14)\/(g + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(-2) + (-294)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = 5*i, 17 = 5*i - 5*p - 3. Let l be (-15)\/(-24) - i\/4*2. What is n in -1\/2 + l*n**2 + 3\/8*n = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -33) + 3 + -1 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60030.73 days in hours?\nAnswer: 1440737.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12 = 2*u, 4509*d + 5*u - 21 = 4513*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/4508 and -137\/12.\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18056026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 26. Let p be l(-5). Suppose f - q - 4 = 0, -f - p - 1 = 5*q. Solve -6 = f*y + 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 7, 90 in descending order.\nAnswer: 90, 7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -6603\/6095?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 3)*(-h + 1 - 1 + (2*h - 5*h + 5*h)*(0 + 1 + 1)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/4 + 2796177*k**2\/4 - 1954650055743*k\/4 - 1954652851921\/4 = 0.\nAnswer: -1, 1398089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:40 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -13, 1\/5, 0.4, 5, 4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 67*d - 18. Let q(z) = -5*z + 3. Let u(n) = a(n) + 12*q(n). Calculate u(13).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -493, -1974, -4419, -7810, -12129, -17358?\n\"Answer: 3*f**3 - 500*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -2*h**4\/3 - 4*h**2 + 3*h. What is the derivative of x(n) wrt n?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*i + r, -3*i + 255 = -14999*r + 14957*r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/((t**11\/t)\/t)*t\/((((t\/((t\/t**2)\/t))\/t)\/t)\/t))\/(t**(-2\/11)\/t)**(1\/39))**(-5\/6))**(-23\/5) assuming t is positive.\nAnswer: t**(-2645\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 469.9613 decades?\nAnswer: 4699.613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 16. Suppose u = c - 4*c. Suppose c = -5*j - 2*m - 3*m - 87500015, -3*m + 34999991 = -2*j. What is j rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219 * -2122.\nAnswer: 464718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -2*r - 69 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774.3817ug to tonnes.\nAnswer: 0.0000000007743817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*r + 8 = 0, 3*r + 6 = 4*p - p. Determine m so that -4*m**4 + 2*m**2 + 2*m**4 + 3*m**5 + p*m**4 - 3*m**3 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551 divided by 19.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 248128 (base 11) in base 12?\nAnswer: 16a661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110000001100111110 (base 2) to base 7.\nAnswer: -32650206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 5*p - 9. Let h be z(4). Let f = h - 1. Let c(s) = -6*s**3 + s + 1. What is the least common multiple of f and c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61282.\nAnswer: 2, 13, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 502536827 divided by 1\nAnswer: 502536827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 716 - 244 = 192 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -23354760.71 to the nearest 1000.\nAnswer: -23355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 2}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74.211 - -0.789. Let x = 1614 + -1688.9. Let s = x + v. Which is the smallest value? (a) s (b) -1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12130 (base 9) to base 6\nAnswer: 101343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 17*b + 25. Solve -7*l = -2*l + b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*v - 112*v + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/47 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -719*z**3 + 1469*z wrt z?\nAnswer: -4314*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 2*h + 25, 0 = 4*q - 4*h - 192. Let u be (45\/12)\/(150\/(-1000)). Let z = u + q. Calculate the highest common factor of z and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014454 to 6 dps.\nAnswer: -0.000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2 - 1)\/(-3). Suppose 0 = 2*w - 4*m + 6*m + 2, -2*m + 10 = -w. Let y = -0.3 + 0.35. Which is the closest to 1\/3? (a) y (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517035889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -4.25.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/164 + 969\/820. Solve -b*t**3 + 4\/5*t**2 + 0*t + 0*t**4 + 2\/5*t**5 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12446353 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4796645751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01540128055 to 4 dps.\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u + 2*w, 2*u - 3*w - 5 = -2*u. Suppose -2 - 13 = -u*n. What is the first derivative of -19 + 4*l**4 + 24 + 3*l**3 - n*l**3 wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001332130 - -3?\nAnswer: 2001332133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/3 and -77\/4071?\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -471, -709, -949, -1191, -1435, -1681?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18280? (a) 4 (b) -3 (c) 2\/53 (d) 6 (e) 4\/7 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*s**4*t**2 + 7205*s**4 - 8*s**3*t**2 + 2*s**2*t + s**2 + 31*s - 497*t**2 + 2*t wrt s?\nAnswer: 96*s*t**2 + 172920*s - 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -10681\/56 and -190 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.147 + -0.14. Let o = 2.477 - b. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = 49*h - 41*h - 37. Do -34\/625 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*y = 13 - 1221 - 448 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 358*p + 273. What is q(-1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, t: 3}. What is prob of picking 2 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 146, -0.1, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from {w: 3, g: 3, i: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*p*y**3 + 159704*p - 34233*y**2 - 2 wrt y.\nAnswer: 69*p*y**2 - 68466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*z + 6885 = -108*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5424)\/(-456) - (-2)\/19. Suppose 8 = -g*l + 14*l. Which is the third smallest value? (a) l (b) -4 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - 4. Suppose 12*y + 232 = q*y. Let p = y - -30. Let w(n) = -n**2 + n + 1. Let x(d) = 2*d**2 - d - 3. Give p*x(s) + 3*w(s).\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(1100) - sqrt(1100)*-2) + (sqrt(56) - -1*sqrt(56))\/sqrt(7) + -5.\nAnswer: -5 + 61*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/20)\/(1\/7*(-63)\/(-36))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (12\/4 - 7). Suppose 5*f + 0*f + 3*c - 5022 = 0, f + r*c = 1001. What are the prime factors of f?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -230.6 * 695.\nAnswer: -160267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 46\/(-108) - (-23)\/(621\/(-2)). What is the fourth smallest value in 1\/5, o, 1.29, 1?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30895 - -30885. What is the second smallest value in -4, 0.1, -28, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63824651?\nAnswer: 11, 197, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039670078 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 4. Suppose 0 = -c + 5 - j. Solve -t = -3 + c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/106582 and -31\/10.\nAnswer: 532910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847) + 4 + -1 + 1 + 1 + sqrt(847) + -6*(sqrt(847) - (sqrt(847) + 0 - sqrt(847))))**2.\nAnswer: -440*sqrt(7) + 13577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (10 - 2) - 1 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0586 + -0.05860577. Round r to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/3 + (-2)\/6. Let b be (-35)\/21*6\/(-5). Let f(k) = -2*k + b*k - 31 + 35 + k. Give f(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/11 - 2*x**3\/11 - 18*x**2\/11 - 2*x - 8\/11 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2834.2 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -65. Let z(b) = -37*b**r + 2*b + 19*b**3 - 5 + 4. Determine z(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**9\/252 + a**5\/30 + a**2 + 3*a. Let p(d) be the first derivative of x(d). What is the third derivative of p(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/253 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2107441264 to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.07 (c) -3 (d) 103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203201201 (base 4) in base 6?\nAnswer: 12423133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 2, f: 3, h: 2, u: 1, e: 2}. What is prob of sequence eu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*f - 4*f**4 - 2*f**3 + 0*f**2 + 5\/2*f**5 = 0. Calculate f.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*z - 4*z + 106, 4*k + 304 = 4*z. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-7 + 1) - (402 + -394).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -19. Let u be 2\/g - 2219996\/(-6). Round u to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231443 (base 7) to base 2.\nAnswer: 1010000110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 247, 209, 153, 73, -37, -183?\n\"Answer: -n**3 - 3*n**2 - 22*n + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:23 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*h + 12, d - 4*h - 12 = -0*h. Let j = -6 - d. Let y = j + 7. Solve g - y = -1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 288 and 438243072?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 6*g - 33. Let d(x) = -x + 3. Let t be d(6). Sort g, t, -1 in decreasing order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 - 3*v - 8. Let r(f) = -13*f**2 + 2*f + 7. Give 5*n(x) + 6*r(x).\nAnswer: -3*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z. Suppose 30 = -z*a + 3*a. Suppose -a = -0*i - 5*i. Solve -s + 4*y = -7, 7*y - i*y = 2*s - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {b: 1, q: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kivioqiooiyiikvkiqki. Give prob of picking 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*14\/49 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 - -255. Is l at most -99\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -2637?\nAnswer: 263c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 13*w**2 - 3*w - 10. Let x be m(-13). Let g = -46 - -176. Let a = g - x. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q + 6. Let t(d) = 2*d**2 - 2*d + 7. Let u(b) = -4*m(b) + 3*t(b). Calculate the remainder when 23 is divided by u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.92 + -15.94. Let g = -12 - v. Let n = 0.055 + g. Round n to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761423835 by -5.\nAnswer: 152284767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -246447481323.\nAnswer: -246447481322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2577 + -5?\nAnswer: 2572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 409378 and 632?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 31. Let s(m) = -2*m - 27. Let v(t) = -4*r(t) + 5*s(t). What is v(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 1:22 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1105 (b) 1\/4 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.71 + 26.35. Let w = m + 1.26. Let l = w + -18. Is -9 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -285\/4 + 143\/2. Let p = 14 - 4. Which is the third smallest value? (a) z (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u + 1729 = 1651 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fspi when four letters picked without replacement from {f: 3, p: 1, w: 2, d: 2, i: 1, s: 3}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 104\/78*9\/84\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 8. Let v(n) = -2 - n**2 + 6 - n - 2. What is v(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s + 69. Let u be o(-6). Suppose -6*i = -3*i - u. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -403*l - 6761 - 1299 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 12:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 684076274 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/3*(1 + 2). Suppose -5*p = -2*h + 20, 0 = 2*p - 2*h + i*h + 22. Let k(c) = -3*c - 11. Let b be k(p). Calculate the highest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61.3 + 61. Sort t, 1\/17, -0.4 in increasing order.\nAnswer: -0.4, t, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 3*w + 11. Let u be s(4). Differentiate 104 + 62 - 127*x + x**3 + u*x**4 + 127*x with respect to x.\nAnswer: 348*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7917\/(-2030)*155\/806\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 - 5) + 5)\/1. Solve -z + 0*h + 4*h + 2 = k, 4*h = 4*z - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + 16\/3. Suppose -5*o + 24 = -5*s + 4, x*o = -4*s - 34. Let t(i) = 2*i**2 + 7*i + 8. Does 19 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -38228 in descending order.\nAnswer: 4, 0, -38228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20024773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10898, 10893, 10886, 10877, 10866, 10853, 10838?\nAnswer: 10821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1578*q + 10 = 1568*q. Let c(j) = 47*j - 1. What is c(q)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10754*h*n**4*t + 195544*h*n*t + 2*h + 14679*n**4*t - 25*n**2 wrt n.\nAnswer: 258096*h*n*t + 352296*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/2 + 5*m - 25\/2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five quarters of a meter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 4:24 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.1 + -16.1. Let u = 35 - z. What is the fourth biggest value in 4, 2, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8090303951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1911*z + 95573. Calculate v(-50).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57.1 - 57. Let x = y - -0.9. Which is bigger: x or -10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 23 - 5 + 18 - 21 - 12 - 2*i.\nAnswer: -2*i - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(216)\/sqrt(36))\/((-2*sqrt(72))\/sqrt(9)) + (5*sqrt(9)\/sqrt(3) + 5 + sqrt(3) + 1)*6)**2.\nAnswer: 2574*sqrt(3) + 82147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 795648 and 1978368?\nAnswer: 73199616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 5\/3, 1 in descending order.\nAnswer: 5\/3, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56457954.\nAnswer: 2, 3, 7, 29, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 35*m**2 + 33*m + 110. Let o be k(36). Suppose 5*i + 4*b - 60 = 107, -o*i = -8*b - 86. Calculate the greatest common factor of i and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, m: 13, n: 3}. What is prob of sequence pnmp?\nAnswer: 13\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27376763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 907.3152ug to milligrams.\nAnswer: 0.9073152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = s - 10, -5*b + 0*b = -5*s + 30. Let c(p) = p**2 - 6*p + 2. Let n be c(5). Let m = -1 - -2. Put m, n, b in descending order.\nAnswer: m, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81818.38 nanometers to meters.\nAnswer: 0.00008181838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 11*r - 6 = 0. Solve r*l = -3*f + f - 8, -2*f = -2*l + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 64.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51671 is divided by 8753?\nAnswer: 7906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/6 - 7*v**2 + 26*v. Let s be r(7). Let i = s + 28. Solve 5*w - 13 = i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24853762 by 5.\nAnswer: -24853762\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19992, 81782, 184768, 328950, 514328, 740902, 1008672?\n\"Answer: 20598*m**2 - 4*m - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281517 is divided by 1147.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1011111 (base 3) to base 6\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 1. Let m(f) = 13*f**3 + 30*f - 5. Let o(n) = 5*b(n) + m(n). Find the second derivative of o(j) wrt j.\nAnswer: 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2))\/u)**(-4)*(u**2*u*u)**(-4\/7)*u\/(u\/(u\/u**(2\/9)*u))*u*u**(-2)*(u*u*(((u\/(u**(-1\/2)*u))\/u*u)\/u)\/u)**(-3\/5) assuming u is positive.\nAnswer: u**(121\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2231, -4324, -6271, -8072?\nAnswer: -9727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 262847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -15, 4, 48.\nAnswer: -15, 2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + -0.42. Let w = 313.2 + -286. Let g = -27.5 + w. Which is the closest to 1? (a) g (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v + 53. Let w be c(7). Calculate the greatest common divisor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/9 - 13\/9. Let i = 6 + -5.9. What is the nearest to 1 in l, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (5 - 2) + 0. Let q = 6 - n. Let b(k) = -2*k + q*k + 2*k + k. Let j(d) = -2*d. What is j(b(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 315 - 104. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217003*-0.5.\nAnswer: 108501.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2167*m + 2998*m - 4 + 5077*m.\nAnswer: 5908*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 119524 and 0.1?\nAnswer: 119523.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 24*a = 2*o + 20, 0 = -o. Solve a*u = 2*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by -136.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**3 - 41*f**2 - 127 wrt f.\nAnswer: 12*f**2 - 82*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3*l + 3593*k**3 + 13502*k*l + 2 wrt k?\nAnswer: -6*k*l + 21558*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -5, -4 in ascending order.\nAnswer: -46, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.2 (c) 462289 (d) -2 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - (2 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234069 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.20613995 and 998.\nAnswer: 1003.20613995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**2 - 7*d**2 + 2*d - 5*d + 1 + 2*d**3 to t + w*d**2 + o*d + r*d**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + (sqrt(3) - sqrt(27) - sqrt(3)))*2 + -1 + (sqrt(3)*2)**2 + sqrt(3))*-4 + sqrt(1200) + -1 + -1.\nAnswer: -46 + 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/32 - (2 - (-27)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/12 - n**3\/2 + 2*n**2 - 5*n. Let s be u(-4). Which is smaller: s or 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559, 1120, 1693, 2278, 2875, 3484?\nAnswer: 4105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50553 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 54252315*g - 2943313682859225.\nAnswer: -(g + 108504630)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 17*c - 31. Let g be f(2). Suppose -g*k + 18 - 9 = 0. Solve k*n + 9 = -2*h - h, 0 = 5*h + 3*n + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 25 = 4*i + 5*x, 5*i + 13 = -2*x. Is (-86)\/((-2 - (-2 + i))*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**5\/6 - x**4\/24 - 2*x**3\/3 - 2. Let h(c) be the third derivative of f(c). Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 25*w - 28. What is h(20)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82a + -22?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 493 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -11*u**4\/12 + 2*u**3\/3 + 4*u**2. Let k be l(-6). Let b = k + 151. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - (-4368)\/(-78))\/(8\/(1 + 1))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -27*q - 12*q + 1995 + 596 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/540 and 11\/54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123900007.\nAnswer: 7, 11, 19, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 2. What is the lowest common multiple of h and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c5 (base 14) to base 10\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 - 25?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 0*l**3 - 21 - 5*l + 19*l - 14*l.\nAnswer: -4*l**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 106395*c**2 + 30*c**3 + 106395*c**2.\nAnswer: 30*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*g**3 - 1 + 8*g**2 - 10*g**3 - 8*g**3 as i + o*g**3 + x*g + z*g**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -11.35 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 154 (b) 10.5 (c) 1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -431.911 take away 266.148?\nAnswer: -698.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.40229cm in meters?\nAnswer: 0.6340229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9618)\/1288 - (-4408)\/608?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-630)*-3*5\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*h - 815 = 0, -11*u + 3*h - 843 = -12*u. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2553*z**2 + 238*z - 101. Let u(o) = 2554*o**2 - 240*o + 77. Let f(w) = -3*m(w) - 4*u(w). Find the second derivative of f(a) wrt a.\nAnswer: -5114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-1584)\/(-6))*(2 - 4). Sort 5, -25, -1, s in descending order.\nAnswer: 5, s, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2598 + -0.074?\nAnswer: -2598.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 4\/5 (b) -7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 13. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10190*t - 84636 with respect to t.\nAnswer: 10190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o - 40230 + 40230 + 8*o.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -469, -599, -717, -829, -941, -1059?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b04 + 13?\nAnswer: -4ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/18640598 + -498873664122\/46601495. Let c = 10715 + w. Find the common denominator of c and (-2 + 21\/2)*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + -a35?\nAnswer: -a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 24*f + 6. Let y be r(5). Let s = y + -79. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 12. Let q be o(-5). Let a(w) be the first derivative of -1\/12*w**3 + 1\/8*w**q - 1 - 1\/16*w**4 + 1\/20*w**5 + 0*w. Factor a(c).\nAnswer: c*(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*u - 144, -12*u = 4*f - 13*u - 150. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 104*a + 44. Let p(x) = -58*x - 6. Let z(w) = -31*w - 3. Let g(d) = 6*p(d) - 11*z(d). Calculate 88*g(u) + 6*s(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-7)*u*u)\/u)*u)\/u*u*(u*u**(4\/7))\/u*(u**(1\/10))**(-1\/9) assuming u is positive.\nAnswer: u**(5393\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 4. Is g(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24248159.\nAnswer: 13, 1865243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -241*l**3 + 11*l - 32 - l - 8*l + 946*l**3 wrt l?\nAnswer: 4230*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 4 in descending order.\nAnswer: 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 79?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 31*t**3 - t**2 - t + 1. Let z be x(1). Suppose l + z - 75 = 0. Find the common denominator of l and (15\/5 - -120)\/(-5 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*y**2 + 326*y**2 - 689*y**2 - 22*y**3 wrt y.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 - 5*k. Let a(o) = -o**3 + 3*o**2 + 4*o - 10. Let y be a(3). Let h(b) = 7*b + 3*b**y - 3*b + 2*b. Give -4*h(i) - 5*r(i).\nAnswer: 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.7 - -43.7. Let q = -14 - 10. What is the fourth smallest value in 2, q, n, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let i = -88 - -825. Let p = -734 + i. Sort -0.02, p, u, -2\/7.\nAnswer: -2\/7, -0.02, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**2\/2 + 3. Let k(b) = -17*b - 3. Let c(y) = -k(y) - 2*u(y). Does 15 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003457214 rounded to 5 decimal places?\nAnswer: 0.00346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8873 + 8883 + 8877 - 95*o - 26635.\nAnswer: -95*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5514 litres in millilitres?\nAnswer: 16551.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 32. Suppose 0 = u*s - 9*s + 21. Suppose 0 = -s*i + 9, 4*k + 4*i + 3 - 95 = 0. Calculate the least common multiple of k and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9490274453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3415 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 17*q + 30. Let f be h(-15). Suppose -p + 6*p - 8305 = f. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-614 + 1)*6\/78. Let p = j - -47. Which is the third smallest value? (a) 2\/3 (b) -0.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 172382?\nAnswer: 15\/86191","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1330 - 736 - 736)*(0*l + 4*l - 2*l) to v + s*l and give s.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -69. Which is the nearest to 2\/9? (a) g (b) 0.3 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -5*l**4\/12 + 10*l**3\/3 - 2*l - 284. Let z(w) = 5*w. Calculate c(z(i)).\nAnswer: -125*i**2 + 100*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18809108 = -80*i + 92606892. Round i to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 502*h**2 + h + 414. What is z(-251)?\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 9153?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -w - 15. Let s = w - -52. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 117*l**2 - 34*l + 3989. Calculate j(117).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 207*n + 605. Let s be b(-3). Solve 0 = 5*u + 3*g - 150 + 146, -2 = -3*u - s*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 25 + -34 - 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 20162?\nAnswer: 20163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -27 - -99 - (2 - -8 - 3 - 17).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v = 4*v. Suppose v = -138*c + 140*c - 10. Solve -25 = -5*n - 0*x + c*x, 0 = -3*n + 4*x + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 3*p**3 + 3*p**3)*(p + 8*p + 5*p) + (p**2 - 3 + 3)*(5*p**2 - 2*p**2 - 2*p**2).\nAnswer: 85*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -843*k**2 - 13*k + 28. Let p(h) = 562*h**2 + 9*h - 20. Let l(s) = 7*p(s) + 5*q(s). Let b(f) = -16*f. Determine l(b(y)).\nAnswer: -71936*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270348 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 + -0.2. Let q = -1399.4 - -1235. Let z = q - -164. Which is the second biggest value? (a) z (b) -3\/14 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 65 - 393. Let z = r - -45. Suppose z*q - 424 = 4*c, -4*q = -q + 2*c - 328. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10874, -10872, -10870, -10868?\nAnswer: -10866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24896831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 58*u - 9. Let b(w) = 16*w + 28. Let x be b(-8). Let r = x + 111. Is z(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.0854285 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(3888) + sqrt(3888))*-6)\/((-4*sqrt(864))\/(2*sqrt(486))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = g - s, -5*s + 23 = -g + 2*g. Let b be (-4)\/g*6\/(-4). What is the units digit of 1\/(b + (-3)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:38 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-281 - 29)*((31302\/(-60))\/47 - -11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 = 1. Suppose -4*y + 7 = z*h, -2*h + h + 3 = y. Suppose 0*v + 370 = h*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 50*i - 2*i**2 + 2 - 100*i + 53*i. Suppose -5*q = -n + 11, 5*q + 8*n - 4*n + 6 = 0. What is y(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2157380218 + -2157377972.001801. Let s = 2246 - g. What is s rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 603*d + 2 - 512*d + d**3 + 7*d**2 - 92*d to the form g + s*d + r*d**3 + l*d**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 217910838 to the power of 1\/2, to the nearest integer?\nAnswer: 14762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255458539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 106 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -4 - -2)\/(19\/(-95)). Solve -205 + 205 = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 36. Suppose -2*a - 18 = -4*q, 4*q + q - k = a. Let u = a - -15. Solve 0 = 7*s - 3*s - u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 3577197*u**2 + 15*u**3 - 3577197*u**2.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 2*q**2 - 4*q - 3. Let h be z(-2). Let o be 1*2\/(-6)*-6. Let f = o + 0. Solve 0 = -h*b - 8 - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + -5*((sqrt(891) + 2 + sqrt(891) + -4)*-6)**2)*-2.\nAnswer: -25920*sqrt(11) + 1284468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2854, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 454312, 454298, 454284, 454270, 454256?\n\"Answer: -14*q + 454326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24719564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:22 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from {o: 4, m: 8, a: 5}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 202860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4972, -4944, -4924, -4912, -4908, -4912?\n\"Answer: -4*p**2 + 40*p - 5008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8478 a factor of 1605232998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 10) to base 7.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 10272 = 3*w. Let j(c) = -635*c + 28*c**2 - w*c + 1277*c. Let z(v) = v**2. Determine z(j(m)).\nAnswer: 784*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) 0 (c) -1\/73 (d) 3 (e) 3868 (f) -2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 16*d**2 - 16*d + 24. Give p(-17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22) + (-6675)\/2937\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225\/128537 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*y**4 - 46 - 77*y**4 + 36*y**4)*(-4 + 6 + 0 + 0).\nAnswer: -2*y**4 - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + y - 76 = 0, -g - 4*y + 37 = -3*y. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/10 + 2\/5. What is the biggest value in -1, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 12}. Give prob of picking 2 i.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9676592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**3\/3 + 9*q**2 + 15. Factor j(w).\nAnswer: -2*w*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 74?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/5)\/(j\/(j\/(j**(2\/3)*j*j*j)))*(j**(2\/3))**24*(j**(-7)\/j*j**1)\/(j\/j**5*j*j\/j**6) assuming j is positive.\nAnswer: j**(209\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (632\/11850)\/(20\/(-45)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*((sqrt(1331) + -6*(sqrt(1331) + 2*sqrt(1331)))*-6 - (-5 + sqrt(1331) + 2 + 0)) + 1)**2.\nAnswer: 17776*sqrt(11) + 13577595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4193 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/7*x**4 + 52\/7*x + 2\/7*x**2 - 52\/7*x**3 = 0. Calculate x.\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 113433110?\nAnswer: -113433110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 15. Suppose 1568 = 27*x - 34*x. Let k be (3\/4)\/((-7)\/(x\/132)). What is the biggest value in u, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2239, 4365, 6523, 8725, 10983, 13309?\nAnswer: 15715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.3, 2\/3, -0.3, 4, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -2\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.8465 milligrams in tonnes?\nAnswer: 0.0000002638465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1098153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3.8855344 + 49\nAnswer: 52.8855344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/20)\/(1\/4). Sort 1, x, -2 in ascending order.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q + 6. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00057595719 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -38*s + 0 + 0*s**3 + 0*s**2 - 1\/6*s**4. Let r(h) = 18*h. Determine r(c(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 991 - 988. Solve -5*a - 27 = -c + u*c, 1 = -a + 4*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*2*(sqrt(425) + -1) + 3)**2.\nAnswer: 100*sqrt(17) + 8505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -20*r**3 + 2*r**2 - 8*r + 14. Let z(a) = 41*a**3 - 3*a**2 + 15*a - 26. What is 11*c(h) + 6*z(h)?\nAnswer: 26*h**3 + 4*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 2*l - l**2 + l**4 + 0*l**4 + 4*l**4 - 6*l**4 to c*l + k + g*l**2 + w*l**3 + z*l**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8298 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o - 11. Let d be k(-5). Let y = d - -39. Suppose -y*c = 2*c - 265000. Round c to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beeeeebbbbeb. Give prob of picking 3 e and 1 b.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/30 + 13*d**4\/8 + 11*d**3\/3 + 4*d**2 + 8. Let i be p(20). Solve 6*a + 14 = i*a - 3*g, 5*g - 5 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, l: 2}. What is prob of picking 1 h and 2 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64817437?\nAnswer: 97, 668221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127631 is divided by 2835?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/42002 greater than 0.108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 7:56 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - 20\/(-8)*-10. Let g = -231 - -230.7. Sort 1, -1, f, g in ascending order.\nAnswer: f, -1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 9:32 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2477*v**3 + 2496*v**3 - 30*v + 4*v)*(-6*v - v + 2*v).\nAnswer: -95*v**4 + 130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -84356 and -8519870\/101 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -27, 5, 0.01, -6 in increasing order.\nAnswer: -27, -6, -2, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.5 - -7.4999911. Round a to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 - 1. Let n = -9939\/19 + 523. What is the nearest to b in -1\/4, n, -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/19183160 and 49\/70440?\nAnswer: 57549480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.32 + -0.32. Which is the fourth smallest value? (a) 2.1 (b) 2\/3 (c) -2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Let z = 9\/5 + -21\/20. Let x = 516 + -4642\/9. What is the second biggest value in n, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 3*v)*(-81 + 81 + 5*v) - 3*v + 3*v + 2*v**2 + 4*v**2 + 16 - 16 + 0*v**2 + 2*v**2 - v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.9612 in -5, 2\/9, 0.07, 0, 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*i = -46*i - 285 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107565, -107569, -107575, -107583, -107593?\nAnswer: -107605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111658149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 4*a + 42 = 0, 3*b + a = 2*a - 6*a - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (7\/4 - 0). Let l = 72 - -110. Let v = -551\/3 + l. What is the closest to -1\/3 in v, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 170*o**2 + 1006*o + 1336.\nAnswer: (o + 2)*(o + 4)*(o + 334)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0059 + 306.9941. Let z = h - 307.0171. Let i = z - -0.0764. What is i rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00056176 to 6 dps.\nAnswer: 0.000562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 19 + 10 = -5*x, 0 = x + 5*r + 7. Solve -7*v - 15 = -4*j - 12*v, -v + x = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + f**2 - 2*f**2)*(-6 + 1 + 3)*(-4 + 2 + 6)*(-3 + 2 + 3).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-245) - 94872\/(-214760)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 7. Let p be (((-2)\/3)\/(-2))\/(47\/(-705)). Let h(r) = 3*r**2 + 12*r - 8. Let k be h(p). Calculate t(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8624598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163387 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 less than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40899, -38973, -37047, -35121, -33195, -31269?\nAnswer: -29343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321600143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -117 and -2.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -20, -78, 4 in descending order.\nAnswer: 4, -5, -7, -20, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*c - 4*n + 239, -2*c + 118 = -4*n. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795338.\nAnswer: 2, 7, 13, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 6*n - 3*n)*(2*n**4 + 6763 + 2*n**4 - 6712).\nAnswer: 16*n**5 + 204*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 40246343 (base 7) to base 9\nAnswer: 6250085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -23. Let p = 42 + -29. What is the remainder when p is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 0)*(2*m + 2*m - 10*m + (2 - m - 2)*(4 - 5 + 2) - 3*m - 2*m + 0*m + 3 + m - 3)*(0*m + 5*m - 4*m) as q + c*m + d*m**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 24, 88, 220, 444, 784?\nAnswer: 1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/76232 and 49\/2696707.\nAnswer: 21573656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(-29 - 5*x + 29).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -884, -1272, -1894, -2756, -3864, -5224, -6842?\n\"Answer: -o**3 - 111*o**2 - 48*o - 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w**3 - 7*w**2 - 5*w + 5. Let r(s) be the first derivative of -5*s**4\/4 - 4*s**3\/3 - 3*s**2\/2 + 3*s + 267. Give -3*n(q) + 5*r(q).\nAnswer: 5*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 2\/15*r**3 - 4\/5*r + 3 + 1\/5*r**2. What is h in d(h) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92014.77 years in decades?\nAnswer: 9201.477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*1)**2 + 1 + 2*sqrt(1900) + 4 + ((0 + sqrt(1900))*-5 + 2)**2.\nAnswer: -180*sqrt(19) + 49409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2, 377, 2\/7, -5\/2?\nAnswer: 377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -86. Solve -m - 1 + f = n, 3*m = 3*n + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pssy when four letters picked without replacement from {y: 1, s: 6, p: 11}?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - (6\/(-1) + 3). Suppose -g + 19 = 2*l - 12, -3*l - 4*g + 39 = 0. Suppose 4*n - 5*z = l, 2*n + 2 = n - 5*z. Solve n - x = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(288)\/sqrt(9)) + 3*sqrt(187)\/sqrt(176))*2.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scy when three letters picked without replacement from cykksy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11112*b**3 - 5572*b**3 - 5537*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 606 - 0.00336.\nAnswer: 605.99664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -347958, -348083, -348296, -348603, -349010, -349523?\n\"Answer: -m**3 - 38*m**2 - 4*m - 347915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w + 704 - 720 + 0*w. Let m be z(2). Solve -k = -3*o - m*k + 2, 5*k + 10 = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7.7. Let y = 0.01 - -19.99. Let m = 18 - y. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*a - 615*a + 8884 - 7333 = -33649 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 32737*g + 2913596. Give l(-89).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (35\/((-5390)\/(-44)))\/(-3 - 66\/(-21)). Solve -n + 64 = -j*t + 63, 4*n = 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446, 448, 450, 452, 454, 456?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5334 = -2*m, 71*b = -5*m + 72*b - 13335. Let q = -531 - m. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 348 - 63. Suppose -6*l = -4*l - 4*p - 176, 0 = 3*l + p - s. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5230980855.00065 + -5231110876. Let z = b - -130010. Let o = z + 11. Round o to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(648)*-2 - sqrt(18))\/(sqrt(6) + sqrt(12)\/sqrt(2)*-4) + -2).\nAnswer: -4 + 26*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**7\/560 - y**6\/240 + y**5\/80 + y**4\/16 + 5*y**3\/6 - y**2. Let t(h) be the first derivative of x(h). Solve t(i) = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m**4\/4 - 3*m**2\/2 + 3*m - 4. Let p(i) = -6*i**3 + 5*i - 5. Give -3*p(x) - 5*w(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1533*u + 1509*u - 120 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 equal to -856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 + 0.156?\nAnswer: 184.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {t: 1, w: 2, k: 6, d: 1, u: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 107*y + 192. Suppose 0 = 650*g - 656*g + 42. What is the hundreds digit of s(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(n + 3*n - 6*n + 7) - 2*n - 2 + 2 + (-5 + 4 - 1)*(2 - 2*n - 2) to f*n + d and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 165, 675, 1537, 2763, 4365, 6355, 8745?\n\"Answer: 2*s**3 + 164*s**2 + 4*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 + 2585*a**2 + 169601*a - 172185 = 0.\nAnswer: -65, 1, 2649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2 - 3*t + 2*t + 0. Let r = 14 - 13. Let i be m(r). Solve 0 = 5*y - w - 10, y + w + i = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2827*x + 7947*x - 2828*x to the form c*x + o and give c.\nAnswer: 2292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.0058338 to the nearest integer.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4845180, 4845143, 4845104, 4845063, 4845020, 4844975, 4844928?\nAnswer: 4844879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 2*b**2 - b - 2. Let h be g(-2). Let m be 1 - (h + 2) - -5. Differentiate -16*f**3 + 4 + 16*f**3 - f**m wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqqqqzqqqozqqqoqqq. What is prob of sequence ooqq?\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23747\/373 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17149?\nAnswer: 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-5.9762.\nAnswer: -2.39048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*x + 184 = 0, 5*o - 2*o = -5*x + 146. Let b = o + -33. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-595)\/14*(-4)\/5. Let m be c\/2*-1*-1. Suppose -114 = 14*u - m*u. What are the prime factors of u?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -4 + 0 + (-13 - (-19 + 11))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71d3 (base 15) to base 11.\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 + 2 + 9. Let h = 7 - u. What is the common denominator of -49\/16 and ((-340)\/18)\/((-4)\/h)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940335 to the power of 1\/2, to the nearest integer?\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c + c. Suppose 0 = 8*j - c*j - 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-270)\/(-24)*-6*35\/5775\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 5*h + 11. What is z(8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 691 = -196. Suppose 2*y - v = 3*q, 0*y - 5*y + 57 = q. Suppose -1105 = 7*s - y*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 101*w + 1. Let j(m) = 3*m + 7. Let f be j(-3). Let i be x(f). Let a = -74 - i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1920 and 13047 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.1. Suppose 0 = -y - 3*b - 404, -4*y - 2*b + 71 = 1647. Let h = y - -1961\/5. What is the fourth smallest value in -3, h, -2\/17, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:27 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p + 86. Let h be q(-11). Calculate the remainder when 12\/(-114) - 3369\/h is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-6)\/(-2))*1. Suppose -2*i - 4*v = -15 - 9, -4*i = -2*v + 2. Let t be (i\/(-7))\/((-10)\/14). Which is the nearest to d? (a) t (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -8\/3 (c) 0.3 (d) -71 (e) -6 (f) 0.4 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*g - g = -296, 433 = -4*y + 5*g. Let u = 547 + y. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -k. What is the least common multiple of k and 7 + 2\/(0 - -2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3145?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4239115 + -38108042\/9. Let b = -4894 + y. Let i = -104\/27 + -163\/189. What is the common denominator of i and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 13*i - 8. Let s be g(-8). Let c be -8 + 6 + s\/593978*79621. Let y = c - 1\/31262. What is the common denominator of y and 85\/22?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2397075?\nAnswer: 3, 5, 31, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - q**3 + 0*q - 3 - 2*q**3 + 3 + (2*q**2 - 3*q**2 + 6*q**2)*(-2*q - 1 + 1) as w*q**3 + n*q + g + t*q**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12214.5ng to grams.\nAnswer: 0.0000122145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162 (base 12) to base 16.\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 223*u**4 + 225*u**4 - 6*u**3 - 4*u**3 + 2*u to the form j*u + p*u**3 + c + d*u**4 + y*u**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 18. Let y(j) = 3*j + 35. Give -5*u(h) - 3*y(h).\nAnswer: -4*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*o - 2. Let k(a) = -56648*a**2 + a - 5. Let f be k(o). Let t = -56200 - f. Round t to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 182.9. Let i = 26\/9 + -173\/63. Let w = 0.79 - 2.79. What is the smallest value in q, i, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 0*s)*(-18 - 5 + 7 + (-2 - 1 + 4)*(-3 + 0 + 2) - 3 + 1 - 9).\nAnswer: 112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -32 + 7 + 26641*o + 85923*o - 27. Let i be s(-7). Round i to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 0. Let v(l) = -l**3 - 4*l**2 + 3*l - 4. Let o be v(-5). Suppose -o*m + 3*m = -3*t + 15, 3*m + 19 = 5*t. What is the nearest to -0.1 in 2\/3, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4, 2\/3, 2\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -20 + 22 + -47?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34489260 by 351.\nAnswer: 98260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*z = -28. Let d be (1 - (3 + -3))\/z. Let -d*x**4 + 1\/2*x**3 + 3\/4*x**2 - x - 1 = 0. What is x?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2. Let d(l) be the second derivative of 40*l**3\/3 - l**2 - 63*l. What is d(z(u))?\nAnswer: -80*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/16)\/x)**48)**(-3\/16))**(-7) assuming x is positive.\nAnswer: x**(-945\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 795 divided by -15\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 p when two letters picked without replacement from {i: 5, j: 1, t: 1, p: 2, u: 8}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 1\/2*u - u**2 + 1\/2*u**4 - u**3 + 1\/2*u**5.\nAnswer: (u - 1)**2*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -156140.8 (b) 0.2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 2*r - 3*r)*(1 + 4 - 7 + (-23 + 3 - 4)*(-36 + 109 + 38)*(-6 + 1 + 3)).\nAnswer: 5326*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 9*v**2 - 3 + 48*v + 3 - 6*v**2.\nAnswer: 3*v**2 + 48*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 267 - 266. Suppose -3*n - z + m = -1, -6 = 2*n - 3*z. Solve -l + n - 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.0893277 rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-40)*(40016\/(-328))\/(((-84)\/(-8))\/7).\nAnswer: 61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -5*c**2\/2 - 5*c + 5. Let a be j(-1). Suppose 2*w - 6*d + 4*d - 1728 = a, 5*d + 1725 = 2*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = 19*m - 392 + 8 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -39 + 12*d - 12 - 29 - 5*d. What is the smallest common multiple of i(16) and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**3 - 34*d**2\/3 + 5*d + 4\/3 = 0. What is d?\nAnswer: -1, -1\/5, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 3*a**2 + 5*a - 4. Let o be n(4). Let w(d) = -3 + d - 3 + o + 2. Let q be w(6). Solve -q = -2*p + p, -23 = -5*x - 4*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*m + 8, 2*j + 3*m = -54 + 62 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153623185 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-10) + 4\/10. Suppose 2*i = -5*r - 0*i + 34, c = -3*r + 4*i + 36. Let h = 27 - 19. Calculate the least common multiple of h and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 319*u**2 + 658*u**2 + 1943*u**2 - 671 wrt u.\nAnswer: 5840*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 205984813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -3, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nddddddndnd. Give prob of sequence nnn.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1269 and 10719.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064 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: Let b(x) = 11*x + 482. Determine b(-44).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, u: 1, s: 9}. What is prob of sequence hhhs?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = 4*f + 29*z - 181, -4*z + 48 = f. Calculate the smallest common multiple of f and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008981 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 3. Suppose 0 = -2*i + 4*i - k. Suppose -3*o - q + 1 = -i, -5*o + 15 = 5*q. Solve 2*p = -o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 5*c**3\/3 - 5*c**2\/2 - 6*c - 119. Let g(h) = h**2 - h - 1. Give -4*g(x) + u(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 7 = 3*a, 3*c + 0*a + a + 7 = 0. Let l(d) = 3*d**2 + 16*d + 27. What is the least common multiple of 14 and l(c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from jrrggrx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1314 + 1332. Calculate the smallest common multiple of i and 512.\nAnswer: 4608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 22, 27\/19, -3\/7, 8, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1662*t**2. Let y(i) = 3*i. Calculate z(y(k)).\nAnswer: 14958*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**2 - 18*u**2 + 3*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(-2)\/(0 + 2). Let t(p) = -6*p**2 - 3*p + 9*p + p**3 + 0*p**3 + 13*p**2 + 2. Let u be t(-6). Solve i + u*i - s = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:13 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (9 - (14 + 4)) + 2 - -51\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23696.\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 78*l - 507.\nAnswer: -3*(l + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {k: 1, c: 3, w: 4, x: 6}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.7 - 0.69. Let l = 2.009883 - s. Round l to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28944 and 9916?\nAnswer: 1070928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**2 - 11*x - 6. Let u be s(-7). Suppose -z - z = 0. Which is the closest to z? (a) 0.5 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 92. What is the remainder when x is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/513 and (1495\/33345)\/(2\/(-4)).\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o**2 + 37*o - 66. Calculate k(5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/9 - 34*f**3\/3 - 38066*f**2\/9 - 56174*f\/3 + 93790\/9 = 0. Calculate f.\nAnswer: -83, -5, 1\/2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u. Let o be v(1). Suppose -o*x = -7 - 25. What is the remainder when x is divided by 3 + 12\/(-30)*(-30)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/43, -2\/13, -7.52239?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-5) - -2)\/(2 - 3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-27 - -3)) + (-7 - (-29 - -15))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 290 + 24 = -36 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200223 + -120?\nAnswer: 2200103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*f + 238, 3*k - 353 = 5*f - f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 1 - (-990)\/(-220)*(-100)\/(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*w, 80*w - 81*w + 5*j = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/((-3)\/(-3)). Let x be 573\/21 - k\/(-7). Suppose 2*l = 5*l - x. Calculate the remainder when 17 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - v - 3. Let s(w) = -640*w**3 - 16*w**2 - 14*w - 446. Let o(h) = -s(h) + 16*y(h). Find the second derivative of o(k) wrt k.\nAnswer: 3840*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545833?\nAnswer: 41, 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 4*w**2 - 59*w\/6 + 114.\nAnswer: -(w - 4)*(w + 9)*(w + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:31 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 5*i**2 + 5*i - 4. Let l be w(-6). Let j be l\/10*-62*-15. Suppose x + j = 4*x. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 5:51 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 45569 and -0.4.\nAnswer: 45568.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 336.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3*485 + 2\/(-6) + 190\/(-114)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 589.5 and 9531?\nAnswer: 5618524.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12498 and 606?\nAnswer: 1262298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3, 21 = -5*s + 6*s - j. Suppose 0*t + t = 2. Suppose 0 = t*q - q - 51. Calculate the remainder when q is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(72)\/sqrt(3)*2)\/(-5*(sqrt(12) - sqrt(48)\/sqrt(4)) + sqrt(192)*-2 + sqrt(12)).\nAnswer: -6*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -12 and -34\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**3 - 23*q**2 + 2*q - 65. What is j(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 311640 = 21*b. Suppose -z + 11*z = b. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15145000, -15145001, -15145002?\nAnswer: -15145003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*u - 94*n**2*u + n**2 + 8*n*u + 1824*n wrt n?\nAnswer: -6*n*u - 188*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - y. Let h(f) = -5*f**2 - 2*f + 2. Let a(n) = 2*b(n) - h(n). What is a(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/33 - 72\/33.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -811 - -821. Solve 30 = 16*n - s*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 4*i + 50*i.\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 530 - -464?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtvivw. Give prob of sequence wwit.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (6 - (2 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29347 and -0.3.\nAnswer: 8804.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1b6?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 47, 72, 107, 152?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 0*b - 3*b + 3*b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c + 63724c?\nAnswer: 63727a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 3 + 5 + -2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -327731\nAnswer: 65546.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 11*a - 19. Let d be w(14). Let t = -21 + d. Solve 20 = 6*l - t*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*b - 6, 4*f - 2*b = 3 - 9. Let d = -5 - -10. Suppose h = d*h. Solve h = 2*w + c - 7, -c + 2 + 3 = f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49583029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*q = 355, -z - 17*q = -12*q - 71. What is the remainder when 381 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2 + 5*d - 7. Let a be j(4). Suppose 179*p - 1320 = a*p. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 - (30 + (89 - 48) + -48).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367468?\nAnswer: 2, 91867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42341 >= 42341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012001101200 + 12?\nAnswer: -12012001101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x. Let j(f) be the first derivative of -f**3 - 4. What is j(g(o))?\nAnswer: -108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 1806?\nAnswer: 41\/903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - b. Suppose 10 = 2*n - b. Suppose 0 = -3*p + g + 92, -107 = 2*p - n*p + 4*g. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 20*w**2 + 4*w + 3. Let f(s) = s**3 - 15*s**2 - 15*s - 18. Let y be f(16). List the prime factors of z(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30554?\nAnswer: 2, 15277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 18*g**2 + 50*g + 38. Calculate w(-15).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h - 9 = 0. Suppose -h*m = m - 36. Calculate the remainder when m is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i**3 - 17*i**2 - 9*i - 14. Does 13 divide p(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*(b**(2\/33)\/b*b)\/b)**(-12\/7) assuming b is positive.\nAnswer: b**(520\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625*m**3 + 1270*m**3 - 630*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 times -3?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2943641626.\nAnswer: 2, 43, 439, 77969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19935*n - 19955*n - 940 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -264233 - -264234.24501. Let o = i + -0.24507. Let v = 1 - o. What is v 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 value of -6 + -9 - (29 - 48 - -23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -19.61. Let y = -1.61 - w. Which is the fourth smallest value? (a) y (b) 3 (c) 2\/15 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1408 - 804*a**2 - 246*a**2 - 1408.\nAnswer: -1050*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/90)\/(3\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(22\/(-12)) + -1. Suppose -3*o + 24 = 3*g, 0*o - 2*o = -5*g + u. Solve -15 = -2*p + g*k, 3*k + 10 = p + k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 10. Let f(b) = 2*b + b - 4*b + 8 + 0 - 9. Calculate -10*f(x) - y(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**3 + 11*x**2 - x - 7. Let y(z) = 21*z**3 - 35*z**2 + 3*z + 22. Determine -19*w(g) - 6*y(g).\nAnswer: 7*g**3 + g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(-1*(-8)\/(-16))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6993068 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3328587 + 72572 = -2*l + 5*y, y + 3256003 = 2*l. What is l rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 27 = l + 17, -f + 2*l + 16 = 0. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -89. Suppose 3*c - 14 = -2*k + 137, 5*c - k = 230. Let a = c - s. What is the lowest common multiple of 14 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 276, 289, 312, 351, 412, 501, 624?\n\"Answer: h**3 - h**2 + 9*h + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b = 74*b - 117. Solve d - b = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 395.969g in milligrams?\nAnswer: 395969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 n when three letters picked without replacement from {e: 2, n: 11, o: 2}?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/2? (a) 0 (b) 4 (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 0*f**2 + 0 + 0*f**3 - 3\/20*f**5 - 1\/10*f**6 + 0*f**4 + 2*f. Factor a(n).\nAnswer: -3*n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(14\/(-35) + 0*(-2)\/2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2603 (base 7) to base 11\nAnswer: -814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from umm. Give prob of sequence um.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - r - 2. Give x(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622, -545, -416, -235, -2?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.2, 4605, 9\/112 in increasing order.\nAnswer: -0.2, 9\/112, 3, 4605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/2)\/((-2)\/24). Suppose 139*p - 85*p - 6952 + 2470 = 0. Let m = y + p. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 10*w + 27. Let o be t(-27). What is the common denominator of -83\/15 and ((-3)\/o*-3)\/((-4)\/(-368))?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)\/(q\/(q*q**(-7))) assuming q is positive.\nAnswer: q**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 5*q + 728 = 0. List the prime factors of 318 - (-5 + q\/7).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 34 + 121 = 3*r, s = 4*r - 127. Suppose 0 = -3*b - 2*f + r, 4*b + 5*f - 16 = 37. Let n = b - -11. What is the smallest common multiple of 6 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35280.8944 + -35192. Let j = 90.6 - h. Let c = -1.7 + j. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4432584 + -375.3?\nAnswer: -4432959.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.14? (a) 3 (b) 536 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q. Let y(m) be the second derivative of m**7\/1260 - m**4\/12 - 16*m. Let a(g) be the third derivative of y(g). What is a(h(o))?\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let v(r) = r**2. Let z(l) = b(l) - 2*v(l). Let a(h) = -6*h. Give a(z(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5960\/9 + 32788\/45. Let q = -66 + c. Let i = -198 + 1384\/7. What is the closest to i in q, -2, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 + 2. Let m be (-4)\/(-8) + 82\/12. Let j = 148\/21 - m. Which is the closest to j? (a) 1\/4 (b) -2\/15 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3 + 41*a**2 - 155*a + 258. Let o be y(-17). Let -96*j + 0 - 2\/3*j**o - 16*j**2 = 0. Calculate j.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 12*z**2 - 10*z + 6. Let a be (-2)\/(-3 + 4655\/1555). Let q = a - 322. Give b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -1\/2, -4, 304?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1302374 (base 8) to base 6\nAnswer: 11430352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -603726255622 + -0.95.\nAnswer: -603726255622.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 + 87 = 0. Calculate the remainder when 29 is divided by l\/12*(0 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 35*v**2 - 4*v + 1. Let j be r(3). Suppose -37*o + 591 = -1. What is the highest common factor of j and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -6, -1.1, -2108.\nAnswer: -2108, -6, -1.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/(-176)*3\/(-1)*2\/(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303 - -307. Suppose 8*m = o*m - 11*m. Which is the closest to -1\/4? (a) 0.3 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*b**3 - 105 + 15*b**2 + 231 - 128)*(-b**2 - b**2 + b**2).\nAnswer: 43*b**5 - 15*b**4 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6344+593.186\nAnswer: 6937.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 7\/1 + 26 + 11727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15066739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -992.6476188 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7990360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-142)\/355)\/(1\/(-90)*-3))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 82061, 82062, 82063?\n\"Answer: n + 82060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1141785176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 3, u: 8, c: 1, h: 1, y: 2}. Give prob of picking 1 v, 1 r, 1 y, and 1 u.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -449, -442, -433, -422, -409, -394?\n\"Answer: a**2 + 4*a - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165076694 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17.6 or -0.47?\nAnswer: 17.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124 + -122. What is the second derivative of 3*h**2 - 5 + 12*h**2 - g*h - 3*h**2 - 2*h wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.567437 nanometers to centimeters.\nAnswer: 0.0000007567437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -440013 (base 5) to base 12\nAnswer: -8828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -69, -166, -355, -666, -1129, -1774, -2631?\nAnswer: -3730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 901? (a) 0.2 (b) 0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 823689 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (33 - 7) + (0 - (1 - -5))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -23. Suppose d = 2*u + 3*b, -b + 10 = 2*u + b. Calculate the smallest common multiple of 2 + (4 + 5 - 10) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 16*l - 26 + 31 + 26 - 7*l)*(-12 - 3 + 3).\nAnswer: 276*l - 780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a + 642 + 211 = -113 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*j - j + 10, -2*j = -4*n - 20. Calculate the least common multiple of 12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7126465*k - 7008637.\nAnswer: 7126465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 756990790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 6\/11, 1\/1644, 2\/27 in decreasing order.\nAnswer: 6\/11, 0.4, 2\/27, 1\/1644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4990*r + 2*r**3 + 4990*r - 6*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3404 and 65380628?\nAnswer: 3404","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 30. Let i(y) = 10*y + 1. Let r(f) = -35*f - 3. Let b(k) = 3*i(k) + r(k). Give b(o(z)).\nAnswer: -25*z**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 15*w - 1. Suppose 2*o - 5*z = 7 + 18, -3*z = -3*o + 24. Suppose 2*j = 4*f + 6*j - 56, 0 = -2*f - o*j + 40. Is r(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**4\/30 - 4*l**2\/5 + 30*l. Factor i(k).\nAnswer: 2*(k - 2)*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -155, 22, 1.\nAnswer: -155, -7, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v - 4*x - 40, 2*x = 158*v - 153*v + 28 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -1, -4 in ascending order.\nAnswer: -5, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166896436 a multiple of 1457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44.39699 grams?\nAnswer: 0.04439699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 44, 119, 256, 473, 788, 1219?\n\"Answer: 3*m**3 + 4*m**2 - 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10*30\/500*-1\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 185\/3688?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -151*m - 10. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -178.\nAnswer: -11\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3998132.1ns?\nAnswer: 0.00000111059225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13465 (base 9) to base 10.\nAnswer: -9131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 0*z**5 + 0*z**4 - 37*z + z**2 + 0*z**3 + 10\/3*z**6 + 89. Find the second derivative of n(v) wrt v.\nAnswer: 400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1*-2 - 145. Round q to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**3 + 26*x**2 + 18*x + 10. Let n(l) = -l**3 - 3*l**2 - 2*l - 1. Calculate 52*n(o) + 6*p(o).\nAnswer: -4*o**3 + 4*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 841042 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 45*h**2 + 50*h + 217. Let c be t(-46). Solve c*s - 4*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43339553899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18589 = 4*f + 18357. Solve 13*r + 7 + f = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737425 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g\/(g*g\/(g*(g\/(g\/(g*g**3*g*g*g)))\/g)))**(-20)*(g\/g**0*g)\/(g\/(g\/g**(-1\/8)))*g**(-4\/9)*g*g**4 assuming g is positive.\nAnswer: g**(-2399\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 124 in -2, 6, 5, -65, -12\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 1. Let d(j) be the second derivative of -j**4\/12 - j**3\/6 - 3*j**2\/2 - 63*j. Determine d(r) + 3*f(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 11*o + 7. Let y be w(-10). Let s be ((-13)\/(-7) + -2)*y. Which is the closest to 0.1? (a) 2 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + (-2 + sqrt(192) + -2)*-1.\nAnswer: -8*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*f*u - a**2*u**3 - 3*a**2 + 87*f*i*u**3 + 2*f*i + 14*i wrt f.\nAnswer: -a**2*u + 87*i*u**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(27) + 2 + -3.\nAnswer: -1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) 6 (c) 3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 675538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/7 + 2001*i**4\/7 - 342561*i**3\/7 + 2969931*i**2\/7 - 1117848*i + 742224 = 0. Calculate i.\nAnswer: 1, 4, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a day?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-10))\/(257\/((-69390)\/(-108))).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313 a factor of 4805580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -5*g. Let b be -4 - (-105)\/24 - (450\/48 - 4). Put b, 29, g in descending order.\nAnswer: 29, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(2) - (sqrt(2) + sqrt(2)*-1 + sqrt(2)))**2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 42 - 408 = -4*w, -5*u + 410 = -4*w. Let a = u - 41. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58906213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)\/(sqrt(32) + sqrt(2)) + 4)**2 - (sqrt(99)*1*4)\/sqrt(9))*-2.\nAnswer: -822\/25 + 24*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1107 + 131753?\nAnswer: 130644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 374, 2499, 8222, 19343, 37662, 64979, 103094?\n\"Answer: 300*r**3 - r**2 + 28*r + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 10*l - 18. Calculate k(-4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca - 15?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 2. Let t be 48\/21 + -2 + 0. What is the nearest to t in -4, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 + 1 = 0. Suppose -d - i = -1, -4*d - 3*i + f = -2*i. Which is greater: d or -1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**5\/180 + j**4\/72 + 7*j**2\/2 - 2. Let s(t) be the second derivative of u(t). Factor s(x).\nAnswer: x*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 0, -90 + 30 = -4*j + 2*i. Suppose -98*g - 3510 = -128*g. What is the greatest common factor of j and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -s + 19, -4*s + 74 = s - 3*w. Calculate the highest common divisor of s and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1443 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89714797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1294c?\nAnswer: 12948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130168.7us to seconds.\nAnswer: 0.1301687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1125.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -17\/42 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggw when four letters picked without replacement from {g: 7, w: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 3*v**2 - v - 1. Let t be o(-3). Let x = 5.1 + -0.1. Let f = 3 - x. Which is the closest to t? (a) f (b) 0.5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1004, -1002, -990, -962, -912, -834, -722?\n\"Answer: t**3 - t**2 - 2*t - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**2 + f**2 + 0*f**2 + (-4*f + f + 7*f)*(-1 + 1 + 2*f) + (3*f - 4*f - 4*f)*(1 - 2*f - 1) + (4 - 4 - f)*(4*f - f - f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31208967, -31208972, -31208987, -31209018, -31209071, -31209152, -31209267, -31209422?\nAnswer: -31209623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -110, -256, -470, -758?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 156, 1, 4, 281 in ascending order.\nAnswer: 1, 2, 4, 156, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6*q*((q**(-2)*q)\/q)\/q)\/(((q\/(q**(-1)*q)*q*q)\/q)\/((q**(-5)\/q)\/q)))**(-2\/37) assuming q is positive.\nAnswer: q**(10\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-169)\/1*720\/(-80). What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 6139 = w, 1566*g + 12281 = -2*w + 1563*g. Do -6143 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + -2. Suppose d - 4*d = 6, 2*d + 1 = -y. Suppose 0*f = -3*f - y. What is the nearest to f in 0.2, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 40. Suppose -2*a - 11 - 19 = 0. Let m = a + k. Calculate the remainder when 40 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 4*p**2 - 2*p. Let c be q(5). Let t be ((-1)\/3)\/((-3)\/27). Let a be 16500001\/t - 5\/c. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-46096)\/(-13) - 62\/(-403)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-12)*m*m*m\/m**(2\/43))\/(m*m**0\/m*m)**(33\/7) assuming m is positive.\nAnswer: m**(-3841\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 467357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-3)*((-3)\/2)\/(-1). What is the third biggest value in -0.45, -5\/4, x?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94140552 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (2 + 1 + sqrt(425))**2 + (-5*sqrt(425)*-1)**2 + -1).\nAnswer: 90*sqrt(17) + 33162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2. Let t(v) be the second derivative of 3*v**3 - 20*v. Calculate x(t(k)).\nAnswer: 324*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 58060, 58233, 58406, 58579, 58752, 58925?\n\"Answer: 173*k + 57887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*j**2 + 21*j**2 - 3*j**2 + (3*j - 6*j + 2*j)*(-3*j + j + 9*j).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let t be (v + -1)*(1 - 2). Let m = -1\/35 - 13\/35. Which is the nearest to t? (a) 0.5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 9. Let q(i) be the first derivative of i**4\/4 + 2*i**3\/3 - i**2 + 3*i - 22. Calculate q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/64461417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -474408 + 0.2.\nAnswer: -474407.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -21*a**2 + 2*a - 9. Let d(p) = 20*p**2 - 4*p + 12. Calculate -2*d(c) - 3*v(c).\nAnswer: 23*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -54. What is the closest to y in -1, 2\/25, 0?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, b: 1, e: 2, x: 1, z: 1}. What is prob of sequence ba?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*4*1\/(-2). Let r(k) = 11*k**3 - 26*k**2 - 14*k - 6. Let l(h) = 4*h**3 - 9*h**2 - 5*h - 2. Let f(g) = 8*l(g) - 3*r(g). Is f(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-3 - (3 - (0 - -2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 6:30 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 93 times -4.4\nAnswer: -409.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 12603.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from odxxoddoddjdddddxx.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00853621193 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 29*x - 30*x. Let l = 116 + x. Is l smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.51649 rounded to one dp?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**4 + 266*r**3 - 14*r**2 - 1430880*r wrt r.\nAnswer: -108*r**2 + 1596*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*x + 4*p - 22, -x = -4*p + 19. Let o be 0 + (4 + x - -44). Suppose 0 = -9*r + 6*r + o. Solve -6*w + 3*w - r = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -5 (b) 9 (c) 0.02 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 2*i**2 + 4*i + 1. Let b be v(-3). Let c(w) = w**2 + 0*w**2 + 0*w**2. Let y(p) = -4*p**2. Determine b*y(h) - 10*c(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820387239?\nAnswer: 40639, 69401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -87378157158?\nAnswer: -87378157152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5743*c - 1441489. Determine f(251).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*z - 6 + 6 - 4)*(2 - 2 + 2)*(-4 - z**2 + 4) in the form x*z + i*z**2 + q*z**3 + s and give q.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*r + r. Let p(n) = n**2 + 12*n + 5. Let x be p(-12). Suppose -2*d = -x*l - r*d + 22, -d - 10 = -l. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11661 (base 15) to base 12.\nAnswer: 28101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:54 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 18*a + 41. Determine m(-9).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11791 - 11800 = -g - 2*b, 11*g - 53 = b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 10. Let l be q(6). Suppose -2*h = -l*x + 218, 5*h - 212 = -3*x + 123. Suppose 4*s = 46 + x. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u + 0 + 0*u**3 - 1\/168*u**8 - 3\/4*u**4 + 0*u**5 + 1\/6*u**6 + 50*u**2 + 0*u**7. Let k(v) = 0. Calculate v.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -926 divided by -10\nAnswer: 463\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000574947601 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 4*q - 5*z - 75, 2*z = -q + 9. Suppose 3*c - 164 = 577. Let y = -142 + c. Calculate the greatest common divisor of q and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*l**2 + 12*l + 1186*l**2 - 53*l + 41*l.\nAnswer: 1071*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 4*z - 15. Let r = 55 + -60. Calculate the remainder when 103 is divided by w(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/4 + 2*x**3\/3 + 15*x + 1. Let j be (-3)\/6*(2 - 2). Does 15 divide v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 2*u**3 - u**2 + 2*u**3 - u**3. Let o be z(-4). Suppose -2*f = -o*f - 404. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7718 + -7668. What is the remainder when 209 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*l**4*v*w + 19440*l**3*v*w - 3*l*v*w + 264*l*v + 100*w wrt l?\nAnswer: 324*l**2*v*w + 116640*l*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2)*30\/(-25). Let i(n) be the second derivative of 3*n + 1\/3*n**h + 0*n**2 + 0 + 0*n**4 + 1\/20*n**5. What is the second derivative of i(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/7 - 1164*d\/7 - 2344\/7.\nAnswer: 4*(d - 293)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34990920 to the nearest integer?\nAnswer: 5915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33228 and 24?\nAnswer: 66456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2483.\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 0, 0 = -3*s - 2*s - p. Suppose 2*a + 2 = -s, -a = -2*j - 31. Which is bigger: j or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r\/r**10)))*r)\/r**(-1\/10))\/(r*r**8*r\/(((r\/(r\/r**8)*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 6*t - 32*t + 40*t.\nAnswer: 2*t + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31959656624.000000124 - -31959656704. Let c = s + -80. What is c rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - t**2 + 2*t - 1. Let q(c) = -c**2 - 6*c - 20. Calculate q(g) - x(g).\nAnswer: g**3 - 8*g - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -860 + 241*v - 84*v + 313 - 1518 + 169*v wrt v.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28688 - 28686. Let s(d) be the first derivative of -2\/9*d**3 - 1\/12*d**4 - 28 + 0*d - 1\/6*d**c. Factor s(w).\nAnswer: -w*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1611 + 1623 = -0*n - 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/65)\/((-2)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42836.\nAnswer: 2, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9240443 decades?\nAnswer: 110.885316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496200*d*v**2 + d*v + 928*d - 171*v wrt v.\nAnswer: 992400*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 151. Let v(q) = q. What is c(v(k))?\nAnswer: -2*k + 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = 0. Let h(b) = -8*b - 2 + k*b - 4*b. List the prime factors of h(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**4 + 906*d**3 + 2*d**2 - 3 - d - 1820*d**3 + 915*d**3 to the form y + q*d**3 + i*d**4 + g*d**2 + r*d and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 34*r - 3 + 1 + 5 + 4 to the form i*r + v and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*a*q**4 - 9*a*q**3 - a*q**2 - 2*a*q + 13*a - 2*q**4 - 10 wrt q?\nAnswer: 3048*a*q - 54*a - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 a, and 1 q when four letters picked without replacement from {j: 2, q: 2, d: 1, a: 2, y: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.08 (b) -2\/7 (c) -4701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, 0.5, -0.2, -5\/2 in ascending order.\nAnswer: -5\/2, -0.2, 0.5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fdfmtqf. Give prob of sequence dqmt.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4175*r = -4811*r + 6996 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 7:13 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31899 - 31898.9981757. What is d rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286487 and 11.\nAnswer: 3151357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8690, 8650, 8612, 8576?\n\"Answer: m**2 - 43*m + 8732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 5915223?\nAnswer: 41406561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10919 - -24569. List the prime factors of h.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 51*r**3 + 9*r + 11. Let t(i) = -50*i**3 - 11*i - 14. Calculate -6*p(u) - 5*t(u).\nAnswer: -56*u**3 + u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 17790?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*-1*66\/(-110).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -1)*1 + 1 + (sqrt(6) + sqrt(480)\/sqrt(5))\/sqrt(3).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -2\/3*m**3 + 0*m**4 + 0 + 4*m**2 - 1\/60*m**5 + 0*m. Let w(g) be the first derivative of b(g). Let d(v) = 2*v. Give w(d(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05488 - -749811432?\nAnswer: 749811431.94512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(7*(-18)\/567)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137725*v**4 - 1046*v**2 - 17*v - 42.\nAnswer: 3305400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 1610510 + 40156059. Let i = o + 2527187. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -5, 3 in descending order.\nAnswer: 386, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.7, -0.06, 1\/42 in decreasing order.\nAnswer: 1\/42, -0.06, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Suppose 8 - 28 = -4*s, 4*s - 20 = -h*m. Let n(g) = 337*g - 85252. Let q be n(253). Solve m = 3*r - q + 21 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -20*o - 1. What is the remainder when (-27094)\/1380*(3 + -33) is divided by p(-3)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 166 = -424. What is the remainder when u is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 667754*b**4 + 382*b**2 + 3025*b.\nAnswer: 16026096*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40604?\nAnswer: 2, 10151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3))\/(-1) + 28. Let x = -22 + y. What is the derivative of 0*f**2 - 5*f**2 - 4*f**4 + 5*f**2 + x wrt f?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.95 - -4.75. What is the nearest to -0.2 in -2, z, 2\/23?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297674103?\nAnswer: 3, 71, 1397531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030501109?\nAnswer: 11, 29, 3230411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4, -0.5, -0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/(19\/76)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(20\/(-30)). Solve -f = -4*k + 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1695 - -1651. Put p, 2, -0.3 in decreasing order.\nAnswer: 2, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*k**3 + 13*k**2 + 10*k**3 - 24*k**2 - 17*k**2 - 631*k**3.\nAnswer: -835*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 233 + 1039. What is the remainder when 169 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.3 + 2.7. Suppose -7 - 7 = 4*u - 3*q, 2*q = u + 6. Which is the third smallest value? (a) r (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -43. Let g = 0 - 0.2. Let h = g - -5.2. Which is the second biggest value? (a) d (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 9*x - 6*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 67496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81 - 81 - y + 71*y**2 - y.\nAnswer: 71*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -348, -217, 26, 381, 848?\n\"Answer: 56*p**2 - 37*p - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Let l be (-1)\/(c + (-2)\/14). Solve -3*b + 2*b = -2*r - 8, -b - 3*r = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/70)\/((-48)\/120). Let m = -5\/26 + 87\/182. Sort m, -5, n.\nAnswer: -5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 140701050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 13437826?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-18)\/k*(k\/k**(-1\/10))\/k*(k*k\/(k\/((k\/(k*k**(2\/35)\/k))\/k*k)))\/(k*k\/(k*k**(-2\/27))) assuming k is positive.\nAnswer: k**(-34079\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131 + -91. Suppose 3*z - 58 = -y, -3*z = -y - 0*z + v. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - -456. Let c = 810 - s. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 3.5 (c) -151 (d) -1\/6 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3727 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -1. Let u be l\/3*(-15)\/4. Let w = u + -6. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25546456*h**6*t**3 + 3*h**2*t**3 - 16561226*t**3 wrt h?\nAnswer: 3065574720*h**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmmtt. What is prob of sequence tttm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Suppose 4*l + 0*l + 3*k = 834, 0 = k + 2. Let p be 2\/(154\/l - 1\/3). Put p, w, -2 in decreasing order.\nAnswer: p, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 3*f + 10 = -16, f = u - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.8+-16.13\nAnswer: -17.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.842 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1809\/(-4824))\/(((-5964)\/(-1420))\/(2*(-2)\/10))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -41303?\nAnswer: 41301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 26\/5 of a minute?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**3\/6 + 3*c**2 + c. What is the units digit of t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(55)*3)\/(sqrt(11)*-2*4).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**2*q)\/q*(q*q**(5\/6))\/q)\/((q*q*q**(-3\/5)*q*q*q)\/(q\/(q*q**(5\/2)))) assuming q is positive.\nAnswer: q**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6596, -26416, -59464, -105752, -165292, -238096?\n\"Answer: -2*a**3 - 6602*a**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/7)\/a))\/a**(-1)*(a**(-2\/7))**(-2\/9) assuming a is positive.\nAnswer: a**(211\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/11 or -99?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (115505\/(-2280) + (-9074)\/(-1047))?\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 9*l + 6. Suppose -174 = -36*p - 318. Let s(h) = -10*h - 7. Determine p*s(r) - 5*m(r).\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2336, -2544, -2876, -3332, -3912?\n\"Answer: -62*n**2 - 22*n - 2252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*48177.\nAnswer: -4335.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 - -88. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 202 - 492 - 142 = 72*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-2))\/((-4)\/(240\/(-3))). Let v(h) = 34*h + 50. Let y be v(z). Let p = y + 533. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*f = -39, -46 = s + 2*s + 4*f. Let l be (-2)\/8 + 2\/(s*4). Let t = 0.1 + -0.3. What is the nearest to 0.1 in t, 1, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 8\/(1 - 3). Let p = -12100\/63 - -1346\/7. Find g such that 4\/9 - p*g**s + 2\/9*g = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 31. Which is the third smallest value? (a) -5 (b) -4 (c) 1\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.5, 5\/4, 6, -10, 22, -1\/2?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 301 = -7*s. Factor s - 64*m + 3 - 202*m**3 + 12*m**2 + 206*m**3.\nAnswer: 4*(m - 2)*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*d + 8*d + 5*d**2)*(0*d**2 - 3*d**2 + 5*d**2) - 75*d**2 - 16*d**4 + 75*d**2)*(-2 + 3 - 3) + d**4 - 2*d**4 + 3*d**4.\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d\/(d*d\/(d\/(d*d\/(d*d**(-3\/2)))))*d*d*d**(-1\/17)*(d**(1\/16)*d)\/d**17 assuming d is positive.\nAnswer: d**(-3943\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11445317.\nAnswer: 13, 880409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 388.89.\nAnswer: 388.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + (15\/(-10) - -6). Solve -4*j = -p*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 10:28 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 15 = 3*u + 11*k, -4*u + 5*k - 25 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0 + 0)*(2*p - 2*p - 2*p) + 23324*p - 1597*p**3 - 23324*p + 2*p**2 - p**3 - 2*p**2.\nAnswer: -1600*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 34*r**2 + 2. Let l be v(-4). Suppose 23*g = 29*g - l. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 k when four letters picked without replacement from dxxkkeekkxek?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2844.998t to micrograms.\nAnswer: 2844998000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 1. Let k be f(-2). Let u(o) = 5*o - 48*o**3 + 5 + 3*o**3 + 42*o**3 - 5*o**2. Let v(t) = -2*t**3 - 4*t**2 + 4*t + 4. Give k*v(a) - 4*u(a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/9, 31, -5, -16 in descending order.\nAnswer: 31, 14, 2\/9, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4138*r + 3699*r - 1640*r - 1158*r)*(4 - 3 - 4)*(-r + 0*r + 2*r) to the form o*r + p*r**2 + z and give p.\nAnswer: -15117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20080.0101 rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174 + 343 - 4788*d**2 + 4779*d**2 - 170.\nAnswer: -9*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**5\/5 + 4*v**3\/3 + 5. Find the third derivative of d(y) wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 566*a + 44 = 558*a, -a + 6 = 4*l - 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29187\/(-161460) - (-2)\/10.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k - 2. Suppose -1711*v + 4 = -1709*v. Determine m(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2846334*k**5 - 2*k**3 - 2*k**2 + 2*k - 562279 wrt k?\nAnswer: 170780040*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3388.7 - 3389. Put l, 0.4, 3, -1.08, 0.2 in decreasing order.\nAnswer: 3, 0.4, 0.2, l, -1.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4090 and 1803281?\nAnswer: 18032810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91834 is divided by 30142.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 9 - (4 - (-19 + 45 + 98 - -5))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 6) in base 12?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvqv when four letters picked without replacement from {v: 10, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 88 = -47. Suppose 653 = 5*l + 3*q, -q = 4*l + 2*q - 520. Let i be (-3)\/(2\/8*-6) + l. Calculate the highest common divisor of d and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2853351 and 7298175.\nAnswer: 9417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjj. What is prob of sequence pj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (-1)\/(1\/12). Let d = j + 35. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1097 - -455. Let x = 1537.94 - a. Let d = x + 0.06. Is -1\/2 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 20*u**2 - 5*u + 5. Let j(w) = 50*w**2 - 12*w + 12. Give 5*j(d) - 12*n(d).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2 and 67\/1264?\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -8*h**2. Let a be ((-804)\/(-8) - -1) + 2\/(-4). Let t(w) = -102*w**2 + 3 + a*w**2 - 3. Determine f(t(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 20*w**2 + 37*w - 13. Calculate the remainder when 19 is divided by z(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432 a factor of 1546106056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -11. Suppose -5*b + b - 2064 = 0. Calculate the remainder when b\/(-16) - 2\/8 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -208.27 + 206.27. Let v = -1 + 1. Sort c, -3, v in decreasing order.\nAnswer: v, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 + -4)*1. Differentiate 6 + 0*m**2 - 3*m**2 - 2*m**2 + o with respect to m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1118 divided by -8?\nAnswer: 559\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -16) + 0 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/9)\/((z\/z**(-9))\/z*z))\/(z*z*z\/z**0*z)**24)**(9\/11) assuming z is positive.\nAnswer: z**(-950\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5627434 and 212?\nAnswer: 11254868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 101*d + 94 - 1590. Suppose -31 = 4*r + 89. Let t = 22 - r. What is the remainder when t is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10555 (base 11) to base 4.\nAnswer: -3233022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/30 + 4\/(1 + 1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 2 + 17 - 9 + 3*k to x*k + j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100011101?\nAnswer: 100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 742, 1480, 2236, 3010, 3802?\nAnswer: 4612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by 19.\nAnswer: 264\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, 1\/1296, -6?\nAnswer: 1\/1296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**4 + 408*z**3 + 8073*z**2 + 37422*z = 0.\nAnswer: -9, 0, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -h + 97, -2*p - 52*h + 53*h + 63 = 0. What is the remainder when 703 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -385*t - 855. What is k(2)?\nAnswer: -1625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-7)\/(-3*4\/(-6)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-100 - -88)*6\/4*(-2)\/6. Let s(j) = j**3 - 7*j**2 - 2*j - 1. Calculate s(z).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 19*y + 25. Calculate z(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 32850*z**3 - 32607*z**3 + 0*z**2)*(0 + 0 - z)*(-4*z - 3*z + 5*z)*(-4 + 4 - 1).\nAnswer: -486*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422162711?\nAnswer: 37, 11409803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 0.3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + -352\/3. Let t = -0.14 - -0.04. What is the second smallest value in y, t, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/((-5)\/(-2)). Let p = 1.2955 - 0.2955. Sort m, p, -0.9.\nAnswer: -0.9, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021709744 rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 87*w - 84*w - 31*w - 87*w + 275*w + 1.\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 - 6*m + 6. Let d be x(4). Suppose 0 = 3*b + 5*f - 46, 10 = -3*b + f + 26. What is the greatest common factor of b and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27692*o + 83071. Calculate k(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-36))\/((-175)\/420)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -65*d + 4. Let l(a) = -12351*a + 759. Give -759*c(q) + 4*l(q).\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 330 + -220. Suppose z - t = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -3, -6\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010381 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 399*z - 3125. Let v be g(8). Solve -v*j - 3*h = -8*h - 30, -29 = -4*j + 3*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132386785 and -20.\nAnswer: -132386805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*h - 4*g**2 - 1943*g*h - 4*g + 9*h - 9791 wrt h.\nAnswer: -2*g**2 - 1943*g + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/2 + 3. Sort f, 0, -2 in decreasing order.\nAnswer: 0, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((-19 - 27) + 18 + 16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*o + 163 - 199 = 0, 0 = 22*d - 4*o - 68 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 20*d + 21. Let c be 3 - (-1 - (-2 - -1 - -6)). Let s be j(c). Solve 7*i + 20 = s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1768979, 1768982, 1768987, 1768994?\nAnswer: 1769003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 54. Let n = -24 + i. Suppose 0 = n*q - 4*r - 2387, 5*q - r = r + 3983. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 38072.\nAnswer: -19\/38072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 9) to base 8\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 21*i**2 + 7*i - 40. Let b be l(22). Let k = 900 - b. Suppose -15*r + k = -13*r. List the prime factors of r.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26038315 to the nearest integer?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*c - 13, 0 = -5*c + 3*q + 12 + 6. Let u(p) = -17*p**3 - 2*p**2 + 4*p + 1. Let a be u(c). Round a to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*27\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 798*p**2 + 44*p + 808*p**2 + 801*p**2 + 805*p**2 - 4010*p**2 + 801*p**2.\nAnswer: 3*p**2 + 44*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -57. Suppose -37 = -6*g + 2*g + 5*s, -5*s - 25 = 0. Suppose -3*w = 4*q - 717, 518 = g*q - w - 10. Calculate the greatest common factor of x and q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from {n: 5, q: 3, x: 2, z: 5}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86554 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*q + 77742 = 0, 153*q = 151*q. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(49)*-3)\/(sqrt(7)*2*-6).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/4, -73.8, 0, 0.4, 2\/25, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a - 1. What is the third derivative of -5*t**a - 4*t**4 + 4*t**2 + 7*t**2 wrt t?\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 8783643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 11 = -9. Let g = -3 - -5. Put 5, j, g in descending order.\nAnswer: 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 a when four letters picked without replacement from {a: 2, e: 2, s: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5538637.04 rounded to the nearest ten thousand?\nAnswer: -5540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -274, -65, -2 in decreasing order.\nAnswer: -2, -65, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211110 + -112022?\nAnswer: -2100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -386*w**3 + 3*w**2 - 1552. Let q(t) = -5*t**3 + t**2. Let o(y) = -j(y) + 3*q(y). Find the first derivative of o(d) wrt d.\nAnswer: 1113*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/42*4158\/315)\/((-3)\/(-42))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)*4*6.\nAnswer: 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -2\/5, -3, 5, 6, -8 in increasing order.\nAnswer: -75, -8, -3, -2\/5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641 - 2*o + 641.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 53. Let f be (-5)\/1 - 0 - -2. Let z = 7 + f. Solve z = d*b - b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let p be (-88)\/20 + 2\/5. Let q = p + 6. Let y(g) = 0*g - 3*g + q*g - 5*g. Calculate y(f(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5935884 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-4 + 2) - -2. Suppose m*v = 0, -4*v = 2*n - n - 93. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(3 + ((sqrt(209)*2)\/sqrt(11) - (1*sqrt(19) + -2 + sqrt(19)))))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1.5. Let g = 2 - 2.4. Let x = 46 + -46.5. What is the third smallest value in x, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -0.34. What is z rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 5*m + 12. Let a(t) be the second derivative of -1\/6*t**m - 3*t + 0 + 1\/2*t**2. Differentiate a(r) with respect to r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+49792490962304\nAnswer: 49792490962303.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2. Let d(y) = 6*y**2. Calculate 5*d(p) - 3*u(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -30, 5 in ascending order.\nAnswer: -98, -30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -4. Is 12 a factor of (-3)\/(3\/(-26)) + f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-550)\/(-220))\/(10\/(-6))*-12. What is the highest common divisor of u and 354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -15. Let f be (-63)\/(-7)*(-2)\/(-6). Suppose -4*j + 3*u + 193 = 0, -46 = -2*j + f*u + 55. Calculate the remainder when j is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from {s: 2, d: 3, t: 4, e: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 + 0.1. Let h = -1 + m. Let r = 0.11 - -3.89. Are h and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44774.\nAnswer: 2, 61, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 45 = -5*n + 52, -n - 31 = -2*m. Let b be 256 - (-14 + 351\/13). Calculate the highest common factor of b and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -856, -1391, -1988, -2641, -3344, -4091, -4876?\nAnswer: -5693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31887901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 96?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = -2*d - 0*d. Calculate the highest common factor of 43 and d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601997 to the power of 1\/2, to the nearest integer?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8942*c - 17353. Determine v(-2).\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15 and 56\/10315.\nAnswer: 30945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4 - 209*t**3 - 2595*t**2 - 9247*t - 6860 = 0?\nAnswer: -196, -7, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from {b: 6, z: 5, e: 4, k: 4}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - a + 2. Let f(h) = 13*h**3 - 5*h**2 - h + 41. Let l(z) = f(z) - 5*u(z). What is the first derivative of l(q) wrt q?\nAnswer: 24*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from lxxxllxlxlxl?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*b + 5*d - 8, 6*d + 18 - 166 = -29*d - 2*d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 515 - -67. Suppose t - 1553 = -m. List the prime factors of t.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-9))\/((-2)\/(-6)). What is the remainder when 7 is divided by 4 + (2 - 0) + y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -424 + 461 + -2 + 3 + -14.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1591476 and 29\/117769224.\nAnswer: 117769224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 0, 2*z = 4*l - 3*l + 3. Let g = -6.43 + 6.63. Suppose 2*o = 6*o. What is the nearest to 0 in g, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4286*o**3 + 5923*o wrt o.\nAnswer: -25716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 7 - -2) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-28))\/((-177)\/118).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p + 16 = 0. Suppose -w + 18 = 3*z, 0*w = z + p*w - 6. Let a be 77\/15 + 2\/(-15). Solve 4*y + 3 - 13 = 5*n, z = a*y - 3*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21258778?\nAnswer: 2, 10629389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*u + 13 - 4, -2*k - 6 = 4*u. Solve u = -j - j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t + 1. Suppose -6*u + 12 - 30 = 0. Let v be f(u). Sort 4, v, -3 in decreasing order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Let o(f) = 158*f + 1425. Let x be o(-9). Solve -l - 17 = -4*k, x = -l - k + i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.21 (b) -2.473 (c) 0.1 (d) -1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 311244*w.\nAnswer: -w*(w - 622488)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000110010110011 + 11?\nAnswer: 1101000110010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 2*t**6\/225 - 59*t**5\/450 - 51*t**4\/20 + 4*t**3 + t**2 - 1083. Determine k, given that i(k) = 0.\nAnswer: -5, 3\/8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*1*-3)\/(sqrt(20)\/sqrt(4)*6).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01488 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 242417819 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3*y**3 + 3*p**3*y**2 + 2*p**3*y - 8*p*y - 19*y**3 wrt p.\nAnswer: 24*p*y**3 + 18*p*y**2 + 12*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1899 = -12*h + 3753. List the prime factors of h.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c**5 + 30*c**4 - 39*c**3 - 15*c**2 + 24*c - 15. Let o(j) = j**5 - j**4 + j**3 + j**2 + j. Let u(k) = 9*o(k) + z(k). Factor u(w).\nAnswer: -3*(w - 5)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1171)\/(-4684))\/((-13)\/2548)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237724581.\nAnswer: 3, 3517, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29267*c**2 - 2134*c**4 + 572*c**4 - 29267*c**2)*(-3 + 3 + 3*c) + 2 - 2 - c**5.\nAnswer: -4687*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) 1144 (c) 5 (d) 1\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y + 21. Let q be p(5). Let g = q + 56. Solve 5*o = 3*k + 32, 4*o = k + g + 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 6*k + 5*k - 16*k + 2 as l*k + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -2*k**2 + k - 2\/3*k**3 + 0. What is the derivative of u(g) wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192276 and 6867.\nAnswer: 192276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1355 + 2057. What is the least common multiple of x and 18?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -17)*2*(-2)\/4 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + ((5 + -3*sqrt(425)*-4)*3)**2 + 0).\nAnswer: -1102056 - 10800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.277 - -0.077. Let a = w - -18. Round a to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 23 = -2*m + 5*b + 19 - 58, 0 = 25*b - 25 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 5, 14, 25, 38?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -1, 1, -15 in ascending order.\nAnswer: -15, -11, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 43*v = -8. Suppose 342 = 3*l + v*l - 2*i, 86 = l + 4*i. Suppose -3*k + 232 = 2*y, 3*k - 5*y - l = 190. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 67. What is o(26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 40*q = 20*q + 195 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 6*i**2 - 101*i - 362. Calculate x(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 152 - 134. Let x(b) = -3 - 3 + 2*b + z*b - 4*b. What is x(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2410942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 20*n**2 - 53*n + 38. Let s be r(17). Solve -33 = 4*k - 5*w, -2*w = s*k + w - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53832245*c**2*l**2 - 4*c*l**2 + 3*c + l**2 - 2271*l + 5 wrt c.\nAnswer: -107664490*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 368 + 3*k - 368. Let z(t) = t**2. Give y(z(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v - 360. Let j(d) = 2*d - 185. Determine 3*f(i) - 7*j(i).\nAnswer: -2*i + 215","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 400922 and -0.033 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-8)*-1*(-2)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-165)\/45 - -5) + (-86)\/(-12))*(260 - 262).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 600?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, s: 3, m: 2, o: 5, v: 1}. Give prob of picking 1 s, 1 j, and 1 v.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6124*f + 6124*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and -5.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 0.255 (c) -484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 3. Let l = -7.4 - d. Which is smaller: l or 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25998 by 7.\nAnswer: -3714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 1. Let a(o) = -o - 1. Let x(f) = 3*a(f) - 4*k(f). Let i(y) = -3*y + 4. Let n(v) = 2*v - 2. Let l(d) = -3*i(d) - 5*n(d). Give -3*l(m) - 5*x(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1391 + 1435. Calculate the least common multiple of p and 384.\nAnswer: 4224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 798.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568075515 is divided by 5886?\nAnswer: 5883","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 q when four letters picked without replacement from {v: 5, u: 1, q: 3, h: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 402 - 4?\nAnswer: 3dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-2440)\/500)\/(-5 - (-102)\/15)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**33*(a**(1\/2)\/a)**(-1\/87) assuming a is positive.\nAnswer: a**(11485\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(1*(-1 + -1)). Let s(h) = h - 4. Let z(j) = -j + 3. Let v(m) = t*z(m) + 3*s(m). Let d(w) = 2*w - 1 + 5*w - 9*w. What is -d(p) + 5*v(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 352 divided by -22\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let i be 1\/(2*d\/(-372)). Let f = -14 + i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-15))\/(1\/(-30) + 0). Let v(u) = u**2 + 3*u - 9. What is the tens digit of v(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 534*s + 71289.\nAnswer: (s - 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -26, -46, -70, -98, -130, -166?\n\"Answer: -2*s**2 - 10*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 573 and -830296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 3*s. Let r be g(3). Let t = -8 - r. Suppose -t = -k - k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -7, -23, -45?\n\"Answer: -3*w**2 - w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 9 = -c. What is the third derivative of -6*b**3 - 24*b**2 - 23*b**2 + 39*b**c wrt b?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -195 - -78. Let h = 29 + z. Let n = h - -153. Is n a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 0*k + 8 - 51 - 5*k + 7*k. Let q be s(13). Do -15 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l + 0*l**3 - 2*l**2 + 0*l**4 + 1\/15*l**6 - 2\/75*l**5 - 1\/21*l**7 + 0. Let t(o) = 0. What is o?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 95, 328, 779, 1520, 2623, 4160, 6203?\nAnswer: 8824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8848 and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 6*u + 3*u + 93 = 0, -5*q + u + 89 = 0. Suppose -18 = -5*x - q. Let p(d) be the second derivative of -d**5\/20 - d**4\/12 - d**2 + d + 1. Give p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/(-435))\/(6\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 148 - -2?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 72. Let d = 26 - j. Suppose 2*u + 0*s - 2*s + 2 = 0, 0 = -2*s + 8. Sort d, u, 0 in descending order.\nAnswer: u, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*i - 81 = -0*i, -2*k + 3*i + 49 = 0. What is the greatest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + (-1 + 2 + 1)*(51 + 32 + 22) + (-1 + 0 - 1)*(0 - 3 + 1))*(2*p + 0*p + 0*p) + (0 - 2 + 1)*(0*p + 3*p - p).\nAnswer: 428*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + 21301220010?\nAnswer: 21301213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(((u**(-2\/7)*u)\/u)\/u))**(4\/9))**21\/((u*u\/u**(-7))\/(u**(-1\/2)\/u*u*u))**(-2\/49) assuming u is positive.\nAnswer: u**(3187\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 6*k - 4*r = 44, -24 = 4*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Suppose -13*p - 11*p = 10*p. Let r(a) be the third derivative of 0*a**3 + 0 + p*a + 4*a**2 - 1\/24*a**4. What is r(f(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r + 10. Is r\/(-3) + (-557)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -711957, -711956, -711953, -711948, -711941, -711932, -711921?\n\"Answer: g**2 - 2*g - 711956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -77. Let q(n) = 10*n - 7*n - 4*n + 55 - 57. Determine q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*m**3*o*w + 1430*m**3*w**3 - 11124*m**2*o - 2*w**3 wrt m?\nAnswer: -66*o*w + 8580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**2 + 133*y. Let b(o) = -2*o. Calculate a(b(h)).\nAnswer: 40*h**2 - 266*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**2\/5 + 554016*d\/5 - 12788905344\/5 = 0. What is d?\nAnswer: 46168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215291471\/21558951 + -26768\/2719. Let x = -9147616\/3702843 + l. Let d = x + -2\/467. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-6))\/((-17)\/(-2003943)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 4*j - 3. Let u be f(4). Let d be (u\/2)\/(3\/(-8)). Let t = -455 - -454.7. What is the second smallest value in t, d, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 24. Suppose c = -q + 20. Let k be (-6)\/(-24)*1*c. What is the second biggest value in k, -1\/2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 + -48. Suppose -d + 3*h - 4*h = -31, d - v = -5*h. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 1 - 2 - 4 - 8. Let c be j(8). Suppose -4*v + c*w + 35 = 0, -3*v + 5 + 25 = -3*w. Solve t = -1 + v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:54 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 148 + 37 - 46 - 89 + 4*n.\nAnswer: n - 246","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -16*b. Let l(t) = -t**2 - 5*t + 5519. Calculate l(p(i)).\nAnswer: -256*i**2 + 80*i + 5519","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28645525 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*w + 2*q = -329*w - 336*w + q + 44, w - 3*q = 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3560 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -164 + 3?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30277 and 663?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 1820 = 2*r. Calculate the remainder when r is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/8 - 7*h**2\/2 + 343*h\/8 + 185\/4.\nAnswer: -(h - 10)*(h + 1)*(h + 37)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -900557 and -8.1.\nAnswer: -900565.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y*y**(-5\/4)\/y*y*y)*y*(y*y**10\/y)\/y)\/(y**(-12\/11))**(-19) assuming y is positive.\nAnswer: y**(-549\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**5 - 8*b**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 54\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6 - 62 = -c, 3*n + 80 = c. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + a05749?\nAnswer: a05744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (11096\/(-365))\/((-4)\/170*4\/52)?\nAnswer: 2, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 4. Let d be v(-4). Solve 5*t + 19 = -2*m + 4*m, -t - 2*m + 1 = d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 7. Suppose 2*m - 5 = -c*p + 1, -3*m = 6. Suppose p*u + u - 24 = 0. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 180543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 3013475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**4 + c**2. Suppose j = -4*j - 20. Let b(n) = 5*n**4 + n**3 - 4*n**2. Let t(o) = j*g(o) - b(o). Determine i so that t(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32075\/3 + -10552. Let i = m + -139. What is the fourth smallest value in 0, 8, -0.1, i?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3884.64812 less than 1040?\nAnswer: -2844.64812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 5*l = -20. Suppose l*p + 54 = -16. Let o = 1\/413 + -10327\/826. Are p and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 52 = -4*c - 2*x, -c = 3*x - 29. What is the remainder when (-3)\/(-12)*2*(-9 + 177) is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437341.\nAnswer: 1437341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 5. Suppose -4*q = -5*w + 15, 2*w + 0*w - 8 = 2*q. Let v = 1 - q. Is z(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 8. Let d be (0 + 3)\/(p - -6). Let g = 35.8 - 36. Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22977 - 0.231. Round f to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8175834 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*1080\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -250357158 and -223.2?\nAnswer: 250356934.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10945938 and 1254?\nAnswer: 120405318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/84*71\/355)\/(-4*(-94)\/30).\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 - 89108.5429.\nAnswer: -88788.5429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(0*y**2 + y**2 + 0*y**2)*(2*y + 2*y**2 - 2*y).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35859 and 12.\nAnswer: 143436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 20, -2\/11, -29, 189, 3, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 - 1521*k + 1494*k in the form s + a*k and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 399, 503, 677, 921, 1235?\n\"Answer: 35*r**2 - r + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 13. Let t = z - 27. Let j = -56.4 + t. Round j to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x + 296. Let p be r(-43). Let m(s) = s**2 + 4*s - 2. Determine m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095871?\nAnswer: 19, 47, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3116989 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3954782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (9 - 5) - 6) + -1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 25 = 69. Suppose k = l + 10. What are the prime factors of (l - 0)\/(1\/19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 3b0?\nAnswer: 3ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -0.4.\nAnswer: -5, -0.4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 38 = r, 4*r - 8680*s + 40 = -8684*s for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8360224 divided by -6\nAnswer: -4180112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3342258 is divided by 139.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d - 4. What is the tens digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:20 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 613033, 613072, 613111, 613150, 613189, 613228?\n\"Answer: 39*w + 612994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -3*f. Let y be 1\/(3 - (-1)\/(-1)). Is y at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -141602325 + -5?\nAnswer: -141602332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 1 = g. Let m be (g\/2)\/((-2)\/52). Find the third derivative of 2 - 2 - 388*w**2 + 395*w**2 + m*w**5 wrt w.\nAnswer: 780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -15*t**2 - t - 7. Determine n(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 77\/2*i**2 + 0 + 83*i - 17\/3*i**3. Find the first derivative of d(f) wrt f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g**2 + 10*g**3 + 43*g**2 - 35*g + 19*g - 8*g**3.\nAnswer: 2*g**3 + 122*g**2 - 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:21 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22525 and 2173.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1063*d**4 - 131*d**2 + 1.\nAnswer: -25512*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 154979*h - 154979*h - 33*h**2. Let s(n) = -6*n**2. Calculate s(o(a)).\nAnswer: -6534*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i + 1. Let d(p) = -8*p**2 + p**3 - 3*p**2 - 124 + 120 + 4*p. Suppose 14*a - 255 = -269. Determine a*d(b) - 4*m(b).\nAnswer: -b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*v - 18, 0*v + 8 = -4*v - 3*z. Let g = 311149 - 311149.2. What is the biggest value in -6, -3, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 64\/20)\/(24\/540)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 38. Solve 0 = -2*t - a + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g**2 + 2 - 5 + 3.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -10 (b) 0.1 (c) 0.2 (d) -5 (e) -3195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m**2 + 104*m - 23. Let j be f(-23). Solve j*g = 235*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11895, -15139, -18383?\nAnswer: -21627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.088 and -5?\nAnswer: 6.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2. Let o(g) be the second derivative of -g**6\/240 + g**4\/4 + 10*g. Let v(u) be the third derivative of o(u). Give v(f(y)).\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 115079926 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xoggoxgoogggggf. What is prob of picking 1 x and 1 o?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9808.689 decades in months?\nAnswer: 1177042.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393126 is divided by 942.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -2521 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14538481.\nAnswer: 14538481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 22 = 7. Suppose 4*o + 3*q = 15, -4*o - 7 = -s*q + 8. Solve -4*z - z - 10 = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1823*a**5 + 2*a**4 - 2136*a**3 + 15*a**2 + 160*a + 6921.\nAnswer: -109380*a**2 + 48*a - 12816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 1 + 4128\/(-215).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3471 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1275192 smaller than -1275193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1909.\nAnswer: 4\/1909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, 3.806, -0.5, -2\/17 in decreasing order.\nAnswer: 3.806, 2, -2\/17, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986134.6um to millimeters.\nAnswer: 986.1346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133841804611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -2. Suppose 2*k + 1024 = i*k. Suppose 0*q = 4*q - k. What is the remainder when q is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -342, -423, -506, -591?\n\"Answer: -m**2 - 78*m - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - 15170649 + 3*l - 3*l + 7585336 + 7585313.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71618.6 and 1.6?\nAnswer: 114589.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/660 - 2*d**5\/165 + d**4\/12 - 2*d**3\/11 - 264*d**2. Suppose k(n) = 0. What is n?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 9620*y - 86418.\nAnswer: -2*(y + 9)*(y + 4801)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcwhcwwhhlwwwwwcwht. Give prob of picking 1 t and 1 c.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312\/32 + 3\/4 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333544?\nAnswer: 2, 173, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20015 + 38255. Is t a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*b - 4*h, 0 = 2*b + 4*h - 17 + 3. Is ((-15)\/12)\/(b\/(-596)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175567*x**4 - 184506.\nAnswer: -702268*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**2 - x - 2. Let r(v) = 33 - 446*v**2 - 31 + 442*v**2. Calculate 3*o(f) + 4*r(f).\nAnswer: -f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/10 - g**2 + 330*g. Let o(r) = -12*r**2. Determine 4*o(z) + 7*y(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n - 3*n)*(26 - 26 - 6*n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 equal to -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2925058298?\nAnswer: 2, 1462529149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122491639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -242.\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -39158 less than -274098\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 822, -839, -2474, -4071, -5618, -7103, -8514, -9839?\n\"Answer: 2*b**3 + b**2 - 1678*b + 2497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmb. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c. Let f be 196\/(-56)*(-1 - 1). Suppose f*r - 12 + 5 = 0. Let v be o(r). Solve 0 = -2*a - v, 5*w + 4*a + 10 = -14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2468 + -2428. Put 2, -5, g in descending order.\nAnswer: g, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 11. Let a be z(-4). Find the second derivative of -13*k**3 - k**4 - k - 8 + 9 - a*k**3 - 12*k**3 + 0*k**4 wrt k.\nAnswer: -12*k**2 - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14297875132\/1491 - 9589451. Let p = -501778\/1065 + 2356\/5. Let y = f - p. What is the common denominator of y and -52\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m - m + 2 - 7*m - 2*m**3 in the form q*m**2 + c + w*m + r*m**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0355305509 rounded to 6 dps?\nAnswer: -0.035531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4169777.\nAnswer: 17, 61, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -2851.28.\nAnswer: 91240.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183222 + -183222.168242. Let l = 0.168 + d. Round l to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -7. Let k = -8 - x. Let o = k - -3.5. Which is the second smallest value? (a) 0.3 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 6*a**2 - 2. Let v = 17 + -11. Calculate d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 53894*x + 215111. What is r(-4)?\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 2392032.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*g + 7*g + 10*g**2 - 7*g**4 - 9*g - 5*g**4 wrt g?\nAnswer: -288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53874 is divided by 187.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**4 + 38*q**3 - 6*q**2 + 2*q. Let g(r) = 4*r**4 - 113*r**3 + 21*r**2 - 7*r. Let j(u) = 4*g(u) + 14*x(u). Find o, given that j(o) = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53534?\nAnswer: 2, 13, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 99*b**5\/5 + 7*b**4\/2 - 2*b**2 + 23*b - 6170. What is the second derivative of v(d) wrt d?\nAnswer: 1188*d**2 + 84*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-511)\/35)\/(1\/(-5)). Suppose 4*c = -i - 102, 0 = -5*i - 5*c - 392 - r. What is the smallest common multiple of i\/(-10) - 3\/1 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 - 5 = 0. Let o(z) be the first derivative of -1 - 1\/4*z**4 - 1\/2*z**v + 0*z + 2\/3*z**3. Find q such that o(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 10*j**2 + 5*j**2 - 8*j**2 wrt j?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -696*n**2 - 5*n + 7*n + 704*n**2 - 1 as f*n + j + c*n**2 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 54?\nAnswer: 5\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236457595 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 7*l**5\/20 + 3*l**2 - 5*l - 4. Let r(m) be the first derivative of q(m). Let j(w) = -8*w**3 - 7. Give 6*j(p) + 7*r(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose -3*c + 5*c - 20 = g. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -86. Let i be (6\/18)\/(-1 - (-2)\/3). Which is the nearest to i? (a) w (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p + 0*p)*(-3*p + 0*p + 4*p) - 54 + 52612*p**2 - 2*p + 0*p + 52578*p**2 - 105250*p**2.\nAnswer: -59*p**2 - 2*p - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0\/(-3 - -9)*-1)*-1348 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Let n = 21 - z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**9\/189 + c**5\/30 + 13*c**3\/3 + 19. Let p(l) be the third derivative of b(l). What is the second derivative of p(o) wrt o?\nAnswer: -320*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407*l - 2615*l = -126924 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-4))\/(4\/(-64)). Let z = 9 + t. Sort z, 4, 0 in ascending order.\nAnswer: 0, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.029 + -108.029. Let k = m + 104. What is the second smallest value in -2, 2, k, -7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 18 = -2*l, 3*o - 2 = 2*l - 0*o. Which is the third biggest value? (a) 3\/7 (b) 47 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/21 and (-1)\/(-5) - 7031\/(-67545)?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 16248?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3738 = -12*f. Suppose -2*j = 4*g + 158 - f, -g + 4*j = -76. Let x = -87 + g. Solve 4*s - 3*y = -6*y + 11, x*s + 4*y - 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.189797057 to three dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*q + 76 - 251*q + 2*q**2 to the form n + d*q**2 + o*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/4)*(l*l**1)\/l*l*(l**(-1))**22 assuming l is positive.\nAnswer: l**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*g - 21. Find a such that -14*a + 4*a**g + 14*a - 35*a**5 - 39*a**4 = 0.\nAnswer: -1, -2\/5, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 8) + 0 + 24 + 8 + -8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109558149*m**3 + 2*m**2 + 35791164 wrt m?\nAnswer: 657348894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 - (-1 - -1) - (5097 - 5088)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n - 1 - 2*n**2 - 4*n)*(-2*n**2 + 2*n**2 - 3*n**2).\nAnswer: 6*n**4 + 15*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.5, 72, 4, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (8 + -8))*-4. Let o(u) be the first derivative of -u**3\/3 + u**2\/2 + 20*u + 2. Let s be o(h). Solve s - 4 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 703290 divided by -6698.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 11) in base 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 817*c - 4853. Is 6 a factor of t(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 113*t**2 - 2. Let d(r) = 201*r**2. Give q(d(p)).\nAnswer: 4565313*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1258 + -808. Suppose 70*k - 61*k - z = 0. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57570883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (33*y**2 - 502 + 502)*(-3*y**2 + 4*y**2 + 2*y**2 + (5*y**2 - y**2 - y**2)*(-5 + 3 + 6)) to the form g*y + o + u*y**3 + r*y**2 + n*y**4 and give n.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -8.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 88*u + 5. Let h be x(-4). Let a = 953 - h. Round a to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268*(-49)\/28*(1 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-three eighths of a second?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 + 39\/9)\/(-2). Let m = 7.1 - 7. What is the smallest value in m, d, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0137397993 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7918 divided by -6.\nAnswer: 3959\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 k when four letters picked without replacement from lklkjjjjkqljkjkj.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 6713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(-3*(sqrt(9) + sqrt(324))).\nAnswer: -sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16233, 16266, 16299?\n\"Answer: 33*x + 16200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2881949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*72\/16. Suppose 3*n = 2*m - 161, 0 = -3*n + j - 12. What is the greatest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3, 4, 4\/31, -37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2243654, -2243647, -2243640, -2243633?\n\"Answer: 7*c - 2243661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 5, 3, 21.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/12 - 3*l**3\/2 + l**2\/2 + 3*l. Is 3 a factor of q(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152750565 divided by -1542935.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -7*i - 12. Let m(r) = -35*r - 57. Calculate 11*l(o) - 2*m(o).\nAnswer: -7*o - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 1 + -11 - -13) + -25?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28881756 - -28881756.40000003. Let w = 2.4 + -2. Let u = w - k. What is u rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*l - 4*l. Let d be 5\/7 + l\/4. Put 0, 2\/17, d in decreasing order.\nAnswer: 2\/17, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 645*r**2 + 28269*r - 352107.\nAnswer: 3*(r - 161)*(r - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.4 times 4.58?\nAnswer: -143.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 4*r, 4*r = 8*r. Is 20\/s + (-13608)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -10*f**4 - 708*f**3\/7 - 1822*f**2\/7 - 120*f\/7 + 200\/7 = 0.\nAnswer: -5, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 448 = -4*s, -2*z + 9*s = 10*s - 203. Solve 2*k - 91 + z = 0 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) -0.5 (d) -167\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4607.\nAnswer: 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849247 is divided by 24861?\nAnswer: 3973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 3*n**2 - 5*n**2)*(-5 - 2*n + 5)*(0 + 1 + 3).\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153007 is divided by 1205.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1771 and 53889?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1246 + -742. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 14*p**2 - 11*p**2 - 2*p**2. Let g(o) = 7*o**2 + 4. Give g(y(b)).\nAnswer: 7*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 89 = g, -i + 168 = 3*g - 97. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90822435?\nAnswer: 3, 5, 11, 550439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-90)*10)\/(290\/1305)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7b2 (base 16) to base 3\nAnswer: -2200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = 3*k. Let n be 1\/k - (-2043)\/(-36). Let v = 184 + n. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -352 and -0.05.\nAnswer: -352.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 5*a + 45. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(119))\/sqrt(7).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11))**(3\/7)*(w\/w**(4\/7))\/w*w**(-3\/7)*w assuming w is positive.\nAnswer: w**(-6\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.09 + -26.8. Is -1\/6 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**3 + 7*z. Let h(s) be the first derivative of -s**2\/2 - 1. Give h(b(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 9*c + 11. Let w be u(-10). Suppose -w = 2*l - 3. Suppose 9 = -5*g - 16. Sort g, l, 3 in increasing order.\nAnswer: g, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26789 divided by 8.\nAnswer: 26789\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a kilogram in grams?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 11:31 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*d**3*q**3 + d**3*x**2 + d**2*q**3*x**2 - 44*d**2*q**2*x**2 - 4*d**2*q*x**2 - d*q**2*x**2 wrt q.\nAnswer: 462*d**3 + 6*d**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 4*t)*(t**3 - 1 - 3 + 6)*(4*t + t - 6*t).\nAnswer: -5*t**5 - 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4746 - 3135. List the prime factors of u.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.83029 + -3.787. Round x to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 29 = d, -2*f + 2384 = -5*d + 2375 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (84\/(-35) - (-6)\/(-10)) + 0. List the prime factors of 866\/9 - (29\/9 + x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o - 3*j = -7, -21 = -2*o + j. Let i = 0 + 0. Suppose i*t - o = -t. What is t rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-10)*296\/(-666)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 521 + -2589\/5. Calculate the common denominator of 4\/5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + 2*(sqrt(396) + -2) + sqrt(396) + sqrt(396) + (2*sqrt(396) + -5 - sqrt(396)))**2 + (5 + -5*sqrt(396) + 1)**2).\nAnswer: -145638 + 6048*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - 5\/(30\/(-6357)). Suppose -6*g + 7*g - 5*t - 271 = 0, 4*g + 4*t = p. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 58 (b) -0.5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 40 = -16*z. Find the common denominator of 3\/z - (-38)\/(-200) and -11\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let g = -153 + 157. Calculate the smallest common multiple of 3 - a*g\/(-2) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f**2 + 12*f**2 - 3*f**3 + 22*f**2 + 197 to s*f + k + n*f**2 + v*f**3 and give k.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5, -37, 3, 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -10*n + 551 + 79. Calculate the highest common divisor of n and 5495.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1771874)\/(-286) + 2 + (-52)\/22. Is t less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16349940.74 rounded to the nearest one hundred thousand?\nAnswer: 16300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 2*l - 19*y + 17*y, 0 = 2*l + 5*y - 326. Solve -26*s - l = -23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**4 + d**4 - 9*d**4)*(-1 + 0 - 5)*(-3 + 5 - 3*d + d).\nAnswer: -144*d**5 + 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 5*m - 4*t - 19, -m - 1 = 4*t for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742591?\nAnswer: 742591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4531062, -9062167, -13593272?\n\"Answer: -4531105*a + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 2*j + 6*j - 6 = 0, 0 = 5*i - j - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8\/6)\/((-270)\/2835).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*d - 27*d = 0. Suppose d = 13*p - 17*p + 2516. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 17*m\/5 - 42\/5.\nAnswer: -(m - 14)*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/45, -1, -0.28, -8?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -20*f - 2 - 12*f + f**2 + 38*f + 4. Let b be z(-4). Let a(l) = l**3 + 5*l**2 - 6*l - 6. Give a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z**2)*(-32 + 32 + 161*z**2).\nAnswer: -483*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 14\/3, 6\/23, -1, 4?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 - 4412*n**2 - 1089104*n - 2160528 = 0.\nAnswer: -206, -2, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -702940, -1 in descending order.\nAnswer: -1\/8, -1, -702940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22200 or -22539?\nAnswer: -22200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435 - 300 - 135 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 107 - 9*r + r**2 - 107 as y + s*r**2 + m*r and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/2)\/p**(-1))**(-1\/52) assuming p is positive.\nAnswer: p**(-5\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l + 25. Let w(m) = m**3 + 23*m**2 + 22*m + 31. Let o be w(-22). Suppose -20 = 36*p - o*p. Sort p, l, -2 in ascending order.\nAnswer: p, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -36 (b) -0.3 (c) -1 (d) -0.204 (e) -215\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -42*r**3 - 22*r**2 - 50*r - 22. Let c(f) = -6*f**3 - 3*f**2 - 7*f - 3. Let s(y) = -44*c(y) + 6*d(y). What is the second derivative of s(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*b - 3*t, 0*b - 4*b - 2*t = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 914421945?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 12*p**2 + 3. Let n be o(-12). Suppose -h + 212 = n*h. Let s(d) = d - 3. What is the remainder when h is divided by s(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -306, 0, 204?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 13*m**2 + 16*m - 28. Let g be r(14). Suppose 3*y + 211 - 271 = g. What is the lowest common multiple of y and 102?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**5\/6 + 10*a**4\/3 + 55*a**3\/3 + 20*a**2\/3 - 165*a\/2 + 54 = 0.\nAnswer: -9, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28 + (-3193)\/(-93))\/(1*1\/18). What is the closest to -0.1 in r, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*v - 282 = 0, x + 5*v + 286 = -3*x. Let h = x - -72. Is h smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - g - 274848 = 0, 373*v = 378*v + 2*g - 343547. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.7879 - -0.2121. Which is the biggest value? (a) 1 (b) v (c) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 63 - 53 - 70 + 214.\nAnswer: m + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18140 = 3*o + 4*y, 0*o + 6072 = o - 5*y. Let j = 8501 - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174016 or -0.8?\nAnswer: 174016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0*k**2 - 39\/20*k**5 + 0 - 11\/8*k**4 - 3\/8*k**3 - 9\/56*k**7 - 21\/20*k**6 + 18*k. Find y such that o(y) = 0.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35222549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**6\/(s\/((s**(-1\/3)\/s)\/s))**(13\/3)*((s**(-8)*s)\/(s\/(s**0*s)))**(2\/7) assuming s is positive.\nAnswer: s**(-121\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 - -336. Let a(i) = 2*i**3 - i + 4. Let b be a(4). What is the greatest common divisor of k and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v - 6. Let m(t) = -2*t - 56. Let q(p) = -p - 19. Let o(w) = -3*m(w) + 8*q(w). Let l be o(8). What is z(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfu when four letters picked without replacement from dufdduuu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 338809 = 1906609. What is r rounded to the nearest 1000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2327301\/41 or 56762?\nAnswer: 56762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 29*t = 32*t + 531, -c + 124 = t. What is the greatest common divisor of c and 2451?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657149 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3 - -2) + 2)*1. Let w(k) = -43*k**3 + 5*k**2 + 1. Let n(r) = 42*r**3 - 4*r**2 - 1. Let x(o) = 7*n(o) + 6*w(o). Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-6)\/63) - 1. Suppose 2*u + 2*u = h, 0 = -4*b - 3*u + 23. Solve -b*k - 1 = -3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -749116?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 + w**4 + 2*w**2 + 3*w**4 - 3*w**2 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {t: 4, c: 2, n: 6, d: 1, i: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/11327 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 13*o**2 - 10*o - 6. Let i be y(-13). Let t = i + -122. Find the second derivative of 22*s**3 + 19*s**3 + 6*s + 0*s - t*s wrt s.\nAnswer: 246*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, r: 3, x: 3, b: 1}. What is prob of sequence oobx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 10.96. Let t = y + 10.96. Let m = 10.7 - t. What is the nearest to 1 in -2, m, -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**3 - 4*t**2 + 4*t - 2. Let a be x(2). What is the units digit of (4\/5)\/(4\/a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5 = g, -g - 585 = 2*b. Let l = 482 + b. Let z = l - 124. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641178, -1282361, -1923554, -2564763, -3205994?\nAnswer: -3847253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 36\/19 (b) 1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 + 129023*x**4 + 40*x**2 + 21925*x wrt x?\nAnswer: -120*x**3 + 3096552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424367 is divided by 12467.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**5 - 2*q**5 - 20*q**2 + 25*q**2 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -640 in -5, 2, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1\/3*f**4 + 41\/2*f**2 + 1\/6*f**3 - 3 - 4*f. Differentiate u(j) with respect to j.\nAnswer: -8*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 97917 = 5*l + 31540, -4*l - 4 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, -3 in increasing order.\nAnswer: -27, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, o: 2, n: 4, u: 1}. Give prob of sequence ofnu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 9*y + 24. Suppose -3*z = 2*z - 15. Suppose -z*g + 9*g = -60. Does 5 divide a(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o. Let t(m) = 79*m - 237*m + 1504*m - 2 + 2. What is b(t(s))?\nAnswer: -4038*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(720\/24)*(-12)\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1232*k**3 - 3746*k**3 + 1242*k**3 + 1271*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/140 - v**4\/84 + v**3\/21 - v. Determine i so that h(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -27767 and -385 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -120*f - 3. Let j(c) = 43*c. Give a(j(x)).\nAnswer: -5160*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(99 + 23*f - 99)*(-4*f**3 + 0*f**3 - f**3).\nAnswer: -345*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p. Let t = 3 - 6. Which is the smallest value? (a) p (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1. Let g(a) = -19*a + 9. Give -6*f(t) + g(t).\nAnswer: -19*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**2*n + 25*c**2 - 3*c - 632*n**2 wrt n.\nAnswer: 3*c**2 - 1264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006475702 to 5 decimal places.\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/7, -2\/7, 6 in decreasing order.\nAnswer: 6, -2\/7, -20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + -1 + -7 - (10 - 28)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1509.7?\nAnswer: -4529.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6, x - 24 = 4*u + 10. Calculate the highest common factor of 198 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4973 is divided by 513?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = m - 0*m - r + 19*r, -2*m + 88 = 20*r + 8*r - 20*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/(-2016)*(14 + -2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-15 - (-23 + -13 + 24 + -13))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-15)\/189 - (-2)\/6.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**5\/20 - 5*v**4\/4 + 23*v**3\/6 - 63*v**2 - 97*v. Let h be d(14). Solve h = 5*z + 26 - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8740 and 345.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 12611794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppappap. What is prob of sequence ap?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -29 + 19. Let y be 3 + (1 - (3 - l) - 4). Let a(u) = 10*u**3 - 4*u**2 - 2*u + 2. What are the prime factors of a(y)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -2*b + 38. Suppose 2*o + b = 5*c, -3*c + 32 + 18 = -5*o. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 520\/267 or 4693?\nAnswer: 4693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-663)\/51*(-4)\/((-208)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20 = -5*u - 29, -3*u - 23 = -2*r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.1 + 1.1. Let r = -4.2 - l. Let z = -0.08 + -2.92. Which is the biggest value? (a) r (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92030.05 litres to millilitres.\nAnswer: 92030050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 5*n**2 + 5*n**2 - 3*n**2. Let r(c) = 0*c + 3*c + 0*c. Calculate r(x(l)).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (10 - (5 + -31 + 18)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2966 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*15\/5. Suppose -73*r + 4 = -71*r. Is 20 + (g - (1 + r)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -92? (a) -1\/8 (b) 0.2 (c) 5 (d) -0.4 (e) -27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 64941 - 14379. Let a = w - 134895\/16. Find the common denominator of -47\/36 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/1006, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 963 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37625 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*1*15\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2636 + 330304?\nAnswer: 325446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1011010 (base 2) to base 5\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((2 - -20) + -6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 26b20?\nAnswer: 26b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(209) - (sqrt(209) + sqrt(209)*2))*-6)\/(sqrt(44)*-3 + (2*sqrt(88) + sqrt(88))\/sqrt(8)).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (9\/(-4))\/(30\/(-23600))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctc when three letters picked without replacement from cccctccccccctct?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6992056592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 582 and 70713?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3605*a*d**4 + 25*a + 1 wrt d?\nAnswer: -14420*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -27, 2\/3, 0.3 in decreasing order.\nAnswer: 3, 2\/3, 0.3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -28, -5, 54, 161, 328?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/2)\/((-410)\/4))\/((-373)\/83925*90)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 + -0.1. Let j = -4 + 2. Which is the closest to 1? (a) o (b) j (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 440 = -4*g + 314, -5*g - 5*y + 950 = 0. Let m = 25 - 1. What is the highest common divisor of g and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1254 by -20181.\nAnswer: 418\/6727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14026542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 34*f - 10. Let o be a(-12). Let g = 87 - o. What are the prime factors of g?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i)**(-39\/2)*(i**(1\/3)\/i)**(1\/6) assuming i is positive.\nAnswer: i**(-353\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -610, -33 in descending order.\nAnswer: 7, 4, -33, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:19 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -904, -921, -942, -967, -996, -1029, -1066?\n\"Answer: -2*y**2 - 11*y - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0 - p**2 + 0*p + 5\/6*p**3 + 1\/10*p**5 + 0*p**4. Find the first derivative of i(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*s - 14, p - 2 + 10 = 2*s. Suppose l = -2*z + 38, 3 + 47 = 2*z + 4*l. What is the remainder when z is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91665 = -5698*a + 287577 - 82946 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*g + 91*g = -110*g + 334*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 10. Suppose -4*r + 0 = w + 6, 2*w + 3*r = -7. Let a be w*2 + 11 + -15. Calculate h(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*u - 8 - 4 = 0, 0 = 3*g + u + 3. Solve g = o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 + 9*z - 1 + 7*z**2 - 1 + 0*z**2 to the form g + m*z**2 + a*z and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (15632 + 338*g - 15630 - 109*g)*(57 + 5 + 5) as f*g + t and give f.\nAnswer: 15343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*k + 1682 + 28 = -m, -3*k - 9 - 18 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c + 25 = 93*c - 15. Solve 0 = c*a + 9 - 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.27812 rounded to 3 decimal places?\nAnswer: -14.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5925*g**3 + 500*g**2?\nAnswer: 35550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13985 or 13986?\nAnswer: 13985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*q - 4 + 8, v = 4*q - 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-8))\/((-2)\/504*-9). Solve -3*p = 3*l - 15, -u*l + 3*p - 15 = -6*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*l - 16, 5*q - 2*l = 2*l + 26. Let w(t) = 3*t. What is the tens digit of w(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/14845*(-40)\/(-32). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9950, 7392, 4826, 2252, -330?\nAnswer: -2920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**2*k*z - 26*f**2*z**2 - f*k*z**3 - 2101*k*z**3 - 13*z**3 - 6 wrt k?\nAnswer: -2*f**2*z - f*z**3 - 2101*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 11*v + 2. Let b be y(-11). Let q be (-27)\/b*(7 + -9). Calculate the greatest common factor of 216 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**3\/2 + 8*j + 11. Let q(t) = -122*t**2. Give q(b(s)).\nAnswer: -1098*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 24, 2\/3, 11, -6, 5 in increasing order.\nAnswer: -6, 2\/3, 5\/2, 5, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -226 + 261. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325 - 1642 = 40*j - 372*j + 1017 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:56 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -45\/469?\nAnswer: -45\/469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -302126, -302141, -302156, -302171, -302186?\n\"Answer: -15*f - 302111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 8*i**2 - 2*i + 12. Let g be m(8). Let v be 16986378\/(-1) + 5 + g. Let k = -9286377 - v. Round k to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -1, -10144116?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t - 5*c = -12, -2*t - 3*c = -2. Let d be 505\/(-55) - -2*1\/11. Let s be (-51)\/d - t\/(-3). Solve s*u = 5*a + 25, 0 = u - 3*u - a + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13086 + 279. Is 81 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1*3*6\/63?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -106164 (base 7) to base 16\nAnswer: -4a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((4 - 5) + -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - (-270)\/162. Let -1941*k**2 + 1938*k**2 + u + 9*k + 11 = 0. What is k?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/210 and 54\/5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.664 - 17.364. Let o(k) = -k**2 + 7*k + 4. Let w be o(7). Suppose -2*s + w*z - 22 = 0, -5*s - z - 19 = -2*z. What is the nearest to 1 in s, -11, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 75. Let m = 25 + w. Let z(x) = -x**2 + 1. Let u(o) = -o**3 + o**3 + 3*o**2 + o**3 - 2. Calculate m*u(d) - 4*z(d).\nAnswer: -d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/13 and -43\/8017.\nAnswer: 104221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 4. What is the remainder when 165 is divided by -3 + -5 + x\/3 + 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b**2. Let c(t) = t**2. Determine c(s(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*u - 2*u = 8, 0 = -3*u. What is the remainder when o is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108643 smaller than 108635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -2*f - 5*s, 4*f - 7*s = -2*s - 280. Let r = -105 - f. Is 14 a factor of 246*(r\/(-9) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**3 + 4*n**2 + n - 1. Suppose -u = -5*y + 12, 4*u - 3 = 2*y + y. Is c(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01293511034 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*s - 2*s**2 - 101*s + 88*s.\nAnswer: -2*s**2 + 284*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 634820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 10:59 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-642)\/(-72) - ((-8 - 6) + 23).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9978803756414.98999961 + -9978803808795. Let a = x - -52379.6. Let b = a - -0.41. Round b 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 uth term of 10797, 10744, 10691, 10638, 10585, 10532?\n\"Answer: -53*u + 10850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 6\/2041891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - sqrt(432)*2) + 5 + sqrt(432) + -1*sqrt(432)*-2 + 3 + (sqrt(432) + 5 + 1 + sqrt(432) + sqrt(432) - (-2*sqrt(432) + 2)) + 1)**2.\nAnswer: 2184*sqrt(3) + 21337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -6.7.\nAnswer: -174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6098*j + 2 - 3 + 1.\nAnswer: 6098*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.3587528 rounded to 2 decimal places?\nAnswer: -160.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40814531 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -359 in -4\/3, -1\/6, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide ((-8)\/1)\/(-11 + (-11999)\/(-1092))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxkx when four letters picked without replacement from {x: 3, k: 15}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 7*s - 402 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in 4, -2\/321, 2.9?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s. Let u(w) = 10*w**2 - 14*w**2 + 48*w**2 + 35*w**2. Give p(u(n)).\nAnswer: -237*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i**3 + 7*i**2 + 19*i + 7. Let l(c) = -7*c**3 + 3*c**2 + 10*c + 4. Let n(u) = -7*l(u) + 4*v(u). Let b be ((-24)\/28)\/((-2)\/(-14)). Calculate n(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - b = -80, -3*b + 1 = -14. Calculate the remainder when 87 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*2\/(-12)*(-9880)\/(-325)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 634856749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 749452214282 plus -9?\nAnswer: 749452214273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/6 and 81\/(-54)*65\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d + 0*d + 3*d - 2*d + 1 - 1 + (-2*d - 4 + 4)*(5 - 5 - 2).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 3:32 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 11550*m - 436005. Calculate a(38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4600\/3680 - 322\/8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056302 rounded to five decimal places?\nAnswer: -0.00563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108482548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9342037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 + x. Let v(w) = -72 + 2*w + 72. What is y(v(i))?\nAnswer: 40*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 7.57398 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 + 3*n - 2. Let j be d(1). Put 4, j, 0 in ascending order.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-65)\/600 - (16\/(-12))\/(-2) and -163\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w - 2. Calculate q(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17785*b*g**3 - 42*b*g**2 - b*g - b - 11*g**2 wrt g?\nAnswer: -106710*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 3876184?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 6*u - 4. Give d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 5*a**2 - 7. Let y be 13\/65 + 34\/5. Let q(g) = -3*g**3 + 7*g**2 - 10. Give y*s(x) - 5*q(x).\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1310*v - 615 wrt v?\nAnswer: -1310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 35245026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105 - 105. Suppose -20*u + 8660 = -k*u. What are the prime factors of u?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -3 (c) 0.5 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -169797*c + 3395936. Determine t(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8*c + 45 = -c, -2*h + 4*c + 191 = -c + 226 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - (-21)\/(-42) - -79. Find the third derivative of 7*c**3 - 166*c**4 + u*c**4 - 3 + 84*c**4 + 3*c**2 wrt c.\nAnswer: -96*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 29. Let j(c) be the second derivative of -1\/7*c**2 + 0 + 1\/21*c**3 + 1\/42*c**s - c - 1\/70*c**5. Factor j(w).\nAnswer: -2*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30339229*z**2 - 4453934.\nAnswer: 60678458*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0 - 2 + y + 0*y. Let p(z) be the third derivative of -z**4\/12 + z**3\/2 - 38*z**2 + 1. What is 5*o(g) + 2*p(g)?\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-549)\/(-183)*35\/(-12))\/(2*(-7)\/(-56))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/60 + 23*i**3\/6 + i**2 - 2*i. Let v(a) be the first derivative of f(a). Let b(n) = -111*n. Calculate v(b(s)).\nAnswer: -222*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21839449?\nAnswer: 107, 204107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4028963153496\nAnswer: -4028963153492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**3 + 71 + 11*h**3 - 33 - 26.\nAnswer: 7*h**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112755, 112754, 112753, 112752, 112751?\nAnswer: 112750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72.672 and -1.\nAnswer: -72.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -2\/15*i**6 + 0*i**2 + 0*i**3 - 1\/6*i**4 + 5*i + 0 + 0*i**5. Find the third derivative of m(o) wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*x - 57, -5*w - 5*x - 69 = -w. Is 522\/14 - (-6)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-903) - (-809700)\/451500\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-12) + (-7450)\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 3. Let q be m(4). Let r = 2 + 8. What is the smallest common multiple of r and (-2 + 1)*-1*q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106.26 + 344.79. Let l = s + -239. Which is the second smallest value? (a) -1\/3 (b) -0.5 (c) 2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/7 + ((-132)\/28 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1 (b) 0.3 (c) -6 (d) -2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*n**2 - 276*n**2 - 170*n**2.\nAnswer: -516*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + 2 - 2 + 5*g**2. Let u(y) = 3*y. Let v(d) = -3*d. Let q(k) = -4*u(k) - 5*v(k). Give z(q(b)).\nAnswer: 81*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*y + 4*i + 11, 5 = 5*y + 2*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t**3 + 3*t**3 - 2*t**4 + 0*t**4 + t to d*t + u*t**2 + l*t**4 + n + x*t**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 274 + -260. Solve 3*t - 20 + g = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -102. Let t be (-3 + (x - -3))\/(-1). Let l = -12 + 20. Solve l = -4*v, t*j - 3 = 5*j + 4*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002933 rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 12. Suppose 124*j - 116*j = 56. Suppose -135 = -j*n - 8*n. Calculate s(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36735, 146961, 330669, 587859, 918531?\n\"Answer: 36741*n**2 + 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 + 6*m + 5. Let u be r(5). Suppose -t = 4*t + u. Let a be 2320000\/(-6)*t\/8. What is a rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(17) + 3)**2 + -1 - sqrt(102)\/sqrt(6)*-2) + -4.\nAnswer: 22 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*m - 4*m. Let o = m + 1. Solve o = -5*i + 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 29 - 1 = 0. Let z(r) = -r**3 + 7*r**2 + 14*r + 10. What are the prime factors of z(o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g + 225. Let w be x(24). Let u = w - 349. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/6)*o*o)\/o**1*(o*o*o\/(o\/o**(-2\/7)))**(-4\/11))\/((o\/(o*o*o**(-2\/3)))**43*o*o**(-2)*o**(-5)) assuming o is positive.\nAnswer: o**(3369\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -11.5, -289, 1\/3?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 70*g**2 - 1. Let o be b(1). Let j = o - 57. Which is smaller: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312737 divided by 1\nAnswer: 312737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 704948696*q**3*u**2 + 5*q**2*u**2 - q**2*u + 46*q*u - 1927*q - u**2 wrt q?\nAnswer: 4229692176*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 5*a**2 - 13*a + 178. What is r(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 410, 874, 1338?\n\"Answer: 464*c - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9527 and 16499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -201523 (base 7) to base 4\nAnswer: -20112223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let h(x) = 2*x**2 - 144136 - 4*x + 144136 + x**3. Calculate h(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1050.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f. Let u be h(4). Let q = u + -7. Solve -2*l = g - 1 + 6, -4*l = -q*g - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15393360.7 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - 5\/((-30)\/9374). Let b = 93797\/60 - p. Calculate the common denominator of b and 69\/(-18)*18\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r**2. Let c(h) be the first derivative of -2*h**3 + 137. What is c(q(x))?\nAnswer: -726*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 30. Let d(v) = 2*v**2 - 2*v - 3. What is the remainder when h(0) is divided by d(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*l = -q + 35025, 0 = -l + 7. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (14 + -4 - (9 - 2))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 3*n + 16. Suppose 2*m = 10, 0 = 2*a - 0*m + 4*m - 34. List the prime factors of d(a).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -281*q*v**3*z**3 + q*v**2*z**2 - 6*q*v**2 - 6*q + 13*v**3*z**3 + 14*v**2*z**3 wrt v.\nAnswer: -1686*q*z**3 + 78*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24116959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - u + 50 = -4*u, -4*u - 4 = 0. Suppose -5*k + 3*k + 3*y - 44 = 0, -3*k - 2*y - 53 = 0. Let p = k - o. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-25)*(t*t\/t**(2\/5))**(-1) assuming t is positive.\nAnswer: t**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + ((-6 - -21) + -5 + -4 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 93451*j**2*z**2 + 2*j**2*z - 162*j**2 - j*z**2 + 2*j*z - j - z**2 - 3*z - 3 wrt z?\nAnswer: 186902*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 143100 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. What is the units digit of -10*(a - 1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + b**2 - 7*b**3 + b**3. Let u be a(1). Does 13 divide (-1 - -3)\/u - -28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 95233368?\nAnswer: -95233367.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 3*z + 0*z)*(0*z + z + 0*z) + (-z**2 + 4*z - 4*z)*(4 - 3 + 0) + (-29*z**2 - 25*z**2 + 39*z**2)*(7 - 1 - 3).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - -4.11. Let y = 0.02 - f. Let o = 2538\/7 - 362. Sort y, o, 0.5 in decreasing order.\nAnswer: o, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -164\/3 (c) 3 (d) 16 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -12, 0 in descending order.\nAnswer: 2, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1530 and 1989?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/2400 and 59\/300?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7 and ((-6)\/(18\/(-5)))\/(-3)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdo when three letters picked without replacement from svosbsjvvdjsdv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 12*x + 7*x - 9*x + x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/13)\/((-12)\/78).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbnbbbnbnnnnbbbbbb. Give prob of picking 4 b.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1809100 to the nearest ten thousand.\nAnswer: 1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1168 divide 1566511186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -11. Let g = 11 - l. Suppose -g*x + 593 = 4*i, 4*x - i - 648 = -161. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 22. Let y(v) = -3*v - 25. Suppose w + 10 = -0*w. Let p be y(w). Is 5 a factor of d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -183, 464, 1087, 1680, 2237, 2752?\n\"Answer: -x**3 - 6*x**2 + 672*x - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 2*i**3 - 3*i**3)*(-5 + 0 + 4) - 2 - 98*i**3 + 2 + 47*i**3.\nAnswer: -49*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60586 and 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (6 - (14 + -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**3 - 3*f**2 - 5*f + 12. Let p be t(2). Calculate the greatest common divisor of p and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.036 (b) 2\/7 (c) -0.5 (d) -1.4 (e) 177\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 193200 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 32, -1, -3, 2.321?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -33\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/((-2)\/16). What is the greatest common factor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 - f**2 + 3*f**2)*(0 + 3*f + 0) - 3*f**2 + 3*f**2 - f**3 + (-1 + 1 + 2*f**2)*(3 - 3 + 2*f) + f**3 + f - f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 169713922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0931, -0.222, -1\/9?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 - -0.98?\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -317108*z - 1125 - 1007*z**3 + 317108*z wrt z.\nAnswer: -3021*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 15) in base 6?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10701773 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**2 + 8*d + 4. Is 8 a factor of w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.8 + 0.2. Let l = 5.6 + -0.6. Let v = l - p. Which is the smallest value? (a) -1 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 45. Solve s*u + 4*a + 1 = 0, 3*u - 9 - 8 = 2*a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424932952 to the power of 1\/2, to the nearest integer?\nAnswer: 80156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 28*w**2 + 9*w - 3. Let u = -7 + 9. Let q(d) = -7*d**2 - 2*d + 1. Let s(c) = u*a(c) + 9*q(c). Differentiate s(t) wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 39.5\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 23*m**2 + 164*m - 3369. What is l(24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 3*t**2 - 3*t**2)*(t**2 + 2 - 2) + (2*t**3 + t**3 - t**3)*(-22*t - 16*t + 6*t).\nAnswer: -66*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2686416 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) 3 (c) -555\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-549)\/27 + (-324)\/1215 + (-3)\/(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s, 0 = 2*d + 5*s + 196 + 13. Let p = d - -109. What is the greatest common factor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 + (3 - (-8 - -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 54 - (-1 - (2 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -500 * -10.488.\nAnswer: 5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/1 + -3 + 189. Suppose -5*h = j - 6*j - 190, -v = -5*h - 2*j. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12685497099\/5002 + -2536085. What is the common denominator of t and -107\/6?\nAnswer: 15006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-270))\/((-75)\/(-45))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -607 + 805. Calculate the smallest common multiple of t and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 2*c - 5. Suppose -3 - 2 = -l. Suppose -u = 0, 5*u - 13 - 11 = -4*m. Let p(r) = 0 - m - 2*r**2 + 4 + r. Determine l*p(h) - 2*f(h).\nAnswer: -2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 210?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5 - 22365*g**4 + 44826*g**3 + 626526*g**2 + 1029129*g + 469791 = 0.\nAnswer: -7457, -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lte when three letters picked without replacement from vltlevvvlv.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 5:15 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 22. Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 3*g + 26797, 5*c + 40196 = 8*c - 4*g. Suppose c = -p + 21*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-16))\/(210\/(-6)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/6*(-1)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1438 or -1426?\nAnswer: -1426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4094.51 decades?\nAnswer: 491341.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 21. Let l be i(-7). Suppose r + 2*c - 66 = -l*r, 0 = -2*r - 5*c + 130. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5037 = -s - 5070, 31 = -5*v - 17*s + 15*s for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (-4*sqrt(153) + sqrt(17))**2 + sqrt(187)\/(sqrt(11)*-2))*4.\nAnswer: -41100 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -28. Let j = -6 + i. What is the highest common factor of j and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 9:31 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 24. Let o = 27 - z. Is -13 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -221, -283, -371, -485, -625, -791?\nAnswer: -983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-18))\/((-1995)\/342)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 2) + -1 - 0) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 - y**4\/3 + y**3\/2 - 5*y**2\/2 - 4*y. Let b be p(-5). Suppose 8*x = 5*w + 3*x - 830, 2*w = -b*x + 311. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(28) - sqrt(7) - (sqrt(252) + 5)).\nAnswer: -5*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*a + 235, 0 = 3*o + a - 413 - 236. Calculate the highest common factor of 129 and o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + v**2 - v**2 + (1 - 2*v - 1)*(v**2 - 1 + 1) + 5 - 2*v**3 - 5 - 28017*v**2 - 242*v**3 + 28017*v**2.\nAnswer: -247*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67337822 to the power of 1\/3, to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 7*b**2 + 8*b - 6. What is n(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6751 and 471.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -82*g**2 - 4304*g + 6710. Determine j(-54).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13529 - -1136411\/84. Let d = j - -1\/84. What is the second biggest value in 5, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**3 - 5*p**2 - 2*p + 3. Let q(z) = z**3 - z**2 - z + 4. Let n be q(0). Calculate the remainder when b(n) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -1, 9 in descending order.\nAnswer: 105, 9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79789796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 711 is divided by 57?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184524457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fefakqaaaeaafa. What is prob of sequence eaa?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 201 (c) 2\/3 (d) -3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861, -1741, -2635, -3549, -4489?\nAnswer: -5461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*f**4*g**3 - 397863*f**4*g**2 - 91*f**2*g + 3*f*g - 48984*g**3 wrt f?\nAnswer: 792*f*g**3 - 9548712*f*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1022\/(-730)*(-51)\/(-21)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3705 and 8151.\nAnswer: 40755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e + -e?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 102 by 6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -1\/6, -2\/215?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + -1 + (sqrt(128)*2)**2).\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 + 295*p**3 + 2120*p**2 + 4080*p.\nAnswer: 5*p*(p + 4)**2*(p + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2\/3, -1, -2\/427 in decreasing order.\nAnswer: 2\/3, 0, -2\/427, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 9*a**2 + a - 22. Let r(n) = -31*n**2 - 21*n**2 - 4 + 50*n**2. Let u(p) = 4*k(p) - 22*r(p). Find d, given that u(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -174, 2001 in ascending order.\nAnswer: -174, -5, 3, 2001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/170)\/(4\/10)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/120 - u**5\/6 + 11*u**4\/24 - 3*u**3 - 216*u**2. What is q(-11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115.8 - -210.5. Round f to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (4 + 8\/(-4) + 1)*72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 2*p - 2*p)*((-5*p**2 + 10*p - 10*p)*(0 - 4 + 16) + p**2 - 2*p**2 + 3*p**2) to l*p**3 + g + y*p + c*p**2 and give l.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 620921 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -44. Suppose -4*b - r*f = 0, -7*b + 5*f + 22 = -6*b. Let 3 + 68*y**3 - b*y**2 - 3 - 69*y**3 = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 68 = 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.64, 96\/11, -4\/11 in decreasing order.\nAnswer: 96\/11, 8.64, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 933 and 41674?\nAnswer: 125022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052952 to seven decimal places.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 10. Let r be c(-3). Let x = 13 - r. Suppose 5*v = 3*m - 2*m + 24, -4*v + 3*m = -28. What is the remainder when x is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 1 - (-56 + 34 + 15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 9:45 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 25 - 8)*(u**2 - 2 + 2) + 2*u**2 + 2*u**2 - 6*u**2 + (-9 + 6 - 13)*(u**2 + 6*u**2 - u**2) to the form m*u**2 + p*u + g and give m.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3\/(-4) - (-3123)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 - 5*r - 47. Let o(b) = b**2 + b - 1. Give k(s) + 2*o(s).\nAnswer: 7*s**2 - 3*s - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157 a factor of 392572414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1430.577182 to the nearest ten.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-33)\/154)\/(6\/(-7)). What is the third smallest value in 0, t, 112\/11?\nAnswer: 112\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 8*y**2 - 2*y**2 - 5*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-13) + (3 - 17).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 9*k - 84. Determine u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -24. Suppose 2*m + 4*g - 88 = 0, 4*m - 4*g = 152 + 24. Let c = m + n. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*x - 19, -n + x = 2*n - 1. Let t be n - (57\/(-3) - 4). Solve -5*q + h + 4*h - t = 0, -h = -2*q - 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 82 + 90 = 16*f - 364, 148 = 4*f - 8*w for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/2196 and -173\/1009428.\nAnswer: 3028284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4245 divided by 1025\nAnswer: 849\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11178367*d**2*p**2 - 4*d**2 + 7*d*p**2 - 2*d*p + 490*d + 165*p + 47 wrt p.\nAnswer: -22356734*d**2 + 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than -416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 48693735.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:14 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64037 + -2240711\/35. Let t = -82\/5 + s. Solve 0 - t*b + 2\/7*b**2 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9050)\/22625*(-5)\/157.\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 213791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120100022 + 10?\nAnswer: 120100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/3291643 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2611868 divided by 104?\nAnswer: -652967\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 237467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11649, -23297, -34945, -46593, -58241, -69889?\nAnswer: -81537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 2)*(-4*r + 6*r - r) + 85*r - 2775 + 2775.\nAnswer: 82*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 9. Let c be z(-3). Solve c = -4*p - p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19672*p**4 + 42*p**2 - 3122542*p.\nAnswer: 236064*p**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/914659889?\nAnswer: -6\/914659889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12 + 13\/4. Solve 0*k + b*k = -12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2938 and -17.86?\nAnswer: 2955.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -1 (c) 0.05 (d) -0.037 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67768 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: 19 * 281.1\nAnswer: 5340.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -32*p**5\/9 - 4080*p**4 - 1499234*p**3\/9 + 437656*p**2 - 1686050*p\/9 + 22100 = 0.\nAnswer: -1105, -45, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 5*r - 4. Let o(q) = -q**2 - q + 1. Suppose 4*j - 5*j = -1. Let w(i) = j*n(i) + 4*o(i). Find the second derivative of w(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {y: 6, w: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/168 + 2*s**7\/315 + s**6\/60 - s**5\/45 - 16*s**2. What is d in u(d) = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6936234 divided by -2312078\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9827, -20719, -31623, -42539, -53467?\nAnswer: -64407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144515 is divided by 651?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-133)\/(-38))\/7*20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -206130941 divided by 5\nAnswer: -206130941\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 601.9 and 2.\nAnswer: 1203.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/30 + 1298\/(-165) + 9. Solve -3*t = b + i, 112*t - 107*t - 3*b = 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = 3*l, 45*h + l = 50*h - 9. Let j(t) = t**2 + t + 1. Let x be j(-2). Find a, given that -4*a**h - 6*a + 10*a**2 + 3 - x*a**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5027)\/(-1371)*(-18)\/(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/((j\/(j*j\/(j**(1\/4)\/j)*j))\/j)*j)\/j)\/j)**(-45)*(j**18*j)\/j**14 assuming j is positive.\nAnswer: j**(-1015\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4486 + -19.\nAnswer: -4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 747*b**4*y**3 - 2*b**4*y**2 + 6*b*y**3 - 159*b*y**2 wrt b?\nAnswer: 8964*b**2*y**3 - 24*b**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2437973 is divided by 1001.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1384, 2942, 4500, 6058, 7616, 9174?\nAnswer: 10732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9253789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -134.\nAnswer: -34\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((1 - (-3)\/2) + 28767\/(-2230))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 1:49 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17638*u**4 - 5*u**2 + 2533*u + 22?\nAnswer: -211656*u**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -4*q**2 + 0*q**3 - 1\/42*q**4 + 1\/210*q**5 + 0*q + 0. Determine m, given that x(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 48355539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11012204, 11012381, 11012558?\nAnswer: 11012735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 - 0.62. Sort -0.2, -2, -3, t.\nAnswer: -3, -2, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -3471?\nAnswer: -3470.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y + 12*y - 320 = 411 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/76 (b) 4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 26 = 5*l, 14*y = -64*l + 69*l + 62 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -868052 divided by 82?\nAnswer: -10586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10081, -10125, -10167, -10207, -10245, -10281?\n\"Answer: z**2 - 47*z - 10035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*k + 5*w, w + 23 = 2*k + k. Let m be k\/(-3) + 0 - 0. Let n be 2\/4 + (-3)\/2. Which is the biggest value? (a) n (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(((sqrt(330)*1 - sqrt(330)) + sqrt(330))\/sqrt(11))\/((sqrt(100)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 69*y**2 + 102*y - 1808. Is l(95) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*t**3 - 62 - 2*t**4 + 3*t**3 - 2*t**2 + 616 in the form k*t + v*t**4 + c*t**2 + f + i*t**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:41 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:32 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -2\/5 (c) 67 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20026016 (base 7) to base 2.\nAnswer: -110010011110011000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-6\/23)*(m**(-2\/7))**(-25))\/(((m\/(m*m*m*m\/(m\/m**(1\/4))))\/m)**(-6\/17)*(m**(1\/4))**(-23)) assuming m is positive.\nAnswer: m**(125737\/10948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 24.\nAnswer: -49\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -776 + 777 - (22 + -2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1929884696?\nAnswer: 2, 7603, 31729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -99*v + 5. Let i be j(1). Let m = i - -184. Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 + -61. Suppose i + 5*h = -i - 23, -2*h - 8 = 2*i. Sort 4, x, i.\nAnswer: x, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -12 in decreasing order.\nAnswer: 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 6. Let c be i(-4). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*-4*52\/8. Let d = 60 + -21. Is 205\/3 + j\/d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.9, 2, 39 in descending order.\nAnswer: 39, 4, 2, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1006524, 1006522, 1006520?\nAnswer: 1006518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-21))\/(2580\/(-860))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 2*n**4 - 3*n**4)*(-6*n + n + n)*(-3 + 8 - 1) + 10*n**5 - 4*n**3 + 4*n**3.\nAnswer: 122*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 54 + (-241 - -245)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kokk when four letters picked without replacement from kkooookokokkok?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 1, -9\/16, -4, -0.1 in increasing order.\nAnswer: -4, -9\/16, -0.1, 0.12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 5, 9, 15, 23, 33?\n\"Answer: u**2 - u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -1)*-1*2. Let y be 30\/75*(-1)\/t. Which is the third smallest value? (a) -3 (b) y (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:32 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -328, 3 in increasing order.\nAnswer: -328, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25*p - 3*p + 22*p + 27*p + 103. Let w(c) = 141*c + 207. Let s(k) = -13*q(k) + 6*w(k). What is the first derivative of s(i) wrt i?\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**7\/2520 + c**6\/45 + 7*c**5\/20 - c**2. Let v(z) be the third derivative of d(z). Give v(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/15301 and 47\/9737.\nAnswer: 107107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -29958 at least -29958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 8:58 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/26656 and -121\/2142.\nAnswer: 239904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -23, -7, 27, 85, 173, 297?\n\"Answer: g**3 - 3*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-60 - 22237\/(-370)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 9*w**2 - 12*w. Let o(p) = -p**3 + 9*p**2 - 13*p + 1. Let r(c) = -6*j(c) + 5*o(c). Let q be r(8). Does 4 divide 0 + (-2 - 2*q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -1\/2 (b) -0.17 (c) 3 (d) -4\/61 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 5*h**2 - 12*h - 38. Determine o(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542859508.\nAnswer: 2, 19, 29, 700027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.33, -3317, 1\/5, 0.1, -1\/2 in increasing order.\nAnswer: -3317, -1\/2, 0.1, 1\/5, 0.33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -50*d - 274. Calculate the remainder when c(-6) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 18\/59 (c) 0.4 (d) 0 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4161.3 - -4243. Round d to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -1*sqrt(117) + 5)*4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)*m)**(-37)*(m**(-1\/4))**(-13\/5) assuming m is positive.\nAnswer: m**(-6569\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*y - 3*y, -5*z + 365 = -4*y. Suppose -94 - z = -3*o. Suppose -5*n = -o - 23. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rtrtehtrhtth.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4140362 is divided by 964.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*o - 24 = -2*k + 37, -2*o + 121 = -k + 119 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h*h**(2\/9)))\/h))\/(h*h**(8\/5)*h)*(h\/((h\/(h*h\/h**(1\/4)))\/h))**36 assuming h is positive.\nAnswer: h**(4393\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**3. Let b be o(-3). Let z(g) = -g**2 + 12*g. Let t be z(9). What is the highest common divisor of b and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(50\/(-90))*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {i: 1, n: 1, t: 1, c: 1, p: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -4 in increasing order.\nAnswer: -10, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**27)*n)**6\/(n\/(n**(-1\/28)*n)*n\/(n**(-8)*n)) assuming n is positive.\nAnswer: n**(-4593\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1057997962, 1057997961, 1057997960, 1057997959?\nAnswer: 1057997958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 219482 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58688225 is divided by 1636.\nAnswer: 1633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 442819 and -0.38.\nAnswer: 442818.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**6 - 5*s**3\/3 - 14. What is the third derivative of h(q) wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*x**2 - 526*x**2 + 265*x**2.\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 6*x**2\/5 + 29029318*x\/5 - 1935288 = 0.\nAnswer: -4838220, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*n**3 + 2*n**2 - 2804*n - 2 wrt n.\nAnswer: 1356*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v**2 + 5*v + 3. Let f be m(6). Suppose 6*u + f = -3. Let y = 38 + u. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 8 = -5*s. Let m be (0 - 20912\/(-6132)) + s. Let j = 4\/219 + m. What is the third smallest value in 7, -1\/5, j?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*n - 11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times -5.3?\nAnswer: 90.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 2*y - 18. Let c be x(6). Let l be -5 + c - 2 - -3*1. Solve l*d + 4 = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1538 + -8791c?\nAnswer: -89157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3355, 13471, 30661, 55195, 87343, 127375?\nAnswer: 175561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -42, -0.5, 4\/3, 2\/7 in decreasing order.\nAnswer: 4\/3, 2\/7, 0, -0.5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/3))**(-30)*m**(-1\/6)*m**(4\/9))**(2\/33))**(-24) assuming m is positive.\nAnswer: m**(1400\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z + 89. Let l be a(-7). Find the common denominator of -95\/22 and (l - 7)*138\/(-56).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300522, -601150, -901778, -1202406, -1503034, -1803662?\nAnswer: -2104290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {z: 1, f: 11, h: 7}?\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 5*y**2 + 4*y + 6. Calculate the least common multiple of l(-3) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j + 9*j - j. Let d(v) = -35*v**3 + 18*v - 1. Let t(i) = 4*c(i) + 2*d(i). What is the second derivative of t(p) wrt p?\nAnswer: -444*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5630 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -21. Let m = -161 - -273. Calculate the highest common factor of f and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_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: 284 times 125850\nAnswer: 35741400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 6*c + 3. Determine f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let m be 9\/21 + (60\/21)\/(-2). Let r be (-2 + m)*(-12)\/54. Which is the closest to r? (a) 0.2 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.868 times -77366?\nAnswer: 67153.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 4114*d + 322707 = 0 for d.\nAnswer: -77, 4191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*s, -4*s - 6 = -2*s. Suppose -p*x = m - 80, -2*x + 56 = x - m. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 263.009 to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 80 = 20*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - 2*h**3 - 5*h + (2*h**2 - 2 + 2)*(-882*h + 1833*h - 910*h).\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9609376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 0 + sqrt(17) + 1)*5.\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6b3 (base 16) to base 7.\nAnswer: 253234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - a9015?\nAnswer: -a9013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 2. Give q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000265 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2250 by -450.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - -0.03. Which is the closest to 0? (a) -0.5 (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 519930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 732103 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20098643 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/12)\/((-775)\/1395).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 46. Solve 0*s - s = 4*k + 8, 4 = -i*k + 3*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 32\/15*c**5 - 8\/3*c**4 - 1\/168*c**8 + 0*c + 208*c**2 + 0*c**3 + 0 + 11\/105*c**7 - 7\/10*c**6. Solve l(k) = 0 for k.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 - 1*(-1 + -2). Suppose j + i = z, -5*j + 6*i + 48 = 5*i. Calculate the remainder when 27 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 times -9313\nAnswer: -502902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3 + 90748*c**2 - 453802*c - 544548 = 0. Calculate c.\nAnswer: -45379, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 + 59*r - 73*r - 3 to the form w + s*r and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 75*y**3 + 480*y**2 + 400*y.\nAnswer: -5*y*(y - 20)*(y + 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a decade in months?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnx when three letters picked without replacement from {n: 1, g: 8, x: 4}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30223616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 2, d: 4, p: 4, n: 6, b: 1}. What is prob of sequence dnh?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4073?\nAnswer: 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-91)\/14) - 2\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -13*u - 17\/2*u**2 + 6. Differentiate f(l) wrt l.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688259*t**2 - 18*t**3 + 1688259*t**2.\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3672)\/10710)\/((-6)\/(-20))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a14 (base 11) in base 6?\nAnswer: 302232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61 times -0.3?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-2\/7)\/z))**(-10\/3)\/(z*z\/(z*z*z*z**(1\/3)))**(-2\/5)*(z**(1\/4)*z*z)**(-1\/13)\/(z**(3\/2)\/(z*z*z**5)) assuming z is positive.\nAnswer: z**(-11209\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00073191764 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55917\/2289*(-48)\/152\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14421516, -28843035, -43264554, -57686073, -72107592?\n\"Answer: -14421519*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 43*n + 197. Determine o(8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 98 - 2*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -650770, -650768, -650766?\nAnswer: -650764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2779 - 2785. Let n(h) = -12*h - 67. Calculate n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 349?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 19*s**2 + 15*s - 2. Suppose -10 = -w - 1. Is k(w) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(125) - (0 + 0 + sqrt(125))))**2 + (-6*(sqrt(125) + -3*(sqrt(125)*-1 - sqrt(125)) + sqrt(125)))**2*-1.\nAnswer: -287975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 1 = 5*o - h, -o + 3 = h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1273, -44\/19, 3\/4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5234 + -5229. Solve j + 2*u = -6, j + a*u = -2*j - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.634 and -9.\nAnswer: 41.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36089, 72188, 108287, 144386, 180485?\n\"Answer: 36099*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d432 + -5?\nAnswer: 2d42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oee when three letters picked without replacement from oueuoueueeeou.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (62 - 24) - -46.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16\/3 - 6. Let v = 9 - -3. Suppose 3*s + 0*s - v = 0. What is the nearest to f in 5, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t - 31. Let k be r(12). Let d(p) be the third derivative of 2*p**2 + 1\/50*p**k + 1\/200*p**6 + 0*p**3 + 0*p + 0 + 1\/40*p**4. Factor d(s).\nAnswer: 3*s*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.027345 litres to millilitres.\nAnswer: 4027.345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*(6*45\/(-324) - 133\/(-30)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1758, 3515, 5272?\n\"Answer: 1757*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 150*w**3 - 9*w**2 - 24*w + 80. Let c be v(6). Round c to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**2. Let g(w) = -185569*w. Give k(g(j)).\nAnswer: -241050976327*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 645*o**2 - 25200*o + 1080000.\nAnswer: -3*(o - 25)*(o + 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + c = 76, -5*t - 3*c - 15 = -135 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 6*z**2 + 826*z + 5628. Determine h(-7).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-10)*((-325)\/(-150))\/(-13)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0485, 9376, -2, 0, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*50*10\/18. Let v = 28 + a. Is 10 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -13)*(23\/((-644)\/(-12)) - 78\/280).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32\/5 in 5\/3, 2\/3, -3114\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1846.4?\nAnswer: -1849.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxr when three letters picked without replacement from {z: 1, x: 2, r: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 - -33. Let q be 12\/(-32)*(d\/(-6) + -3). What is the third smallest value in -0.4, 0.02, 2\/7, q?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -73, -3, -30?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*b - 124 = 37*b - 4*t, 2*t = 2*b - 82. Suppose 4 - 14 = -d. Calculate the remainder when b is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4\/15, 2, 533 in descending order.\nAnswer: 533, 2, -0.2, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -352521 less than 14?\nAnswer: 352535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/63 (b) -2\/3 (c) 0.2 (d) 2\/5 (e) 545\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {d: 4, v: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.17, 144, -2\/21, 0.1, 2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*l + 4*s, -3*l + 10 + 5 = 3*s. Let w(q) = q**2 - 4*q + 4. Let c be w(l). Solve -c*u + 3 = -i, i - 3*i = -10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69468, 277977, 625698, 1112799, 1739448, 2505813?\nAnswer: 3412062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3032312 - -3130?\nAnswer: 3102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -8\/3345957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64, -9, 3.6, 1, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 9*k + 6 - 121*k + 4 - 1 as x + n*k and give n.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xg when two letters picked without replacement from awgxwa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -56a304a9 + 3?\nAnswer: -56a304a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 8) to base 10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 54*q**3 + 4*q**3.\nAnswer: 58*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 808 - 208 = 5*k, 4*d - 2032 = -4*k. Let z be -2*(5 - d\/(-8)). What is z rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-20)*(2 + -1 + -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17599*m**2 + 23586*m wrt m?\nAnswer: -35198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let r(q) = -50*q - 54*q + 124*q**2 - 45*q + 148*q. Give r(a(x)).\nAnswer: 124*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 20593?\nAnswer: -20591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212 (base 5) to base 16.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, 12, 19, 28, 39?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/30 and 68\/2649?\nAnswer: 26490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 4*j - 3, j + d + 4 = 5*d. Which is the closest to j? (a) -0.5 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (317338\/(-517762))\/((-3)\/31).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yybwdfbfwfbwbjwfbwf. Give prob of sequence wj.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w + 20. Let x be o(-2). Let u be (-3)\/(-15) + 54\/x. Solve 0 = -k - 3*k, -u*f - 3*k = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 14550.\nAnswer: 58200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 1. Let v be 4\/(-14) + 2\/7. Suppose v*l - 12 = 2*l. Calculate t(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(104)\/sqrt(2)*3 + -4 - ((sqrt(143)*-2)\/sqrt(11) - 2*-1*sqrt(13) - sqrt(117)*2*4)**2.\nAnswer: -7491 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9 - 65\/(-15))*-42. Which is bigger: f or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 1}. Give prob of picking 2 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(8) + sqrt(288)) - ((sqrt(117)*-3)\/sqrt(9))**2)*5.\nAnswer: -585 + 5*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106736\/339 - -59\/113. Let q = r + 315. What is p in 50\/3 + 20\/3*p + q*p**2 = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from eheehhheehhh.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3867994 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10*g + 8 = 0. Solve -j = g*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 13 - 6 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 20, -273893 = -n - h - 3870. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263455, -1053897, -2371287, -4215613, -6586863, -9485025, -12910087?\nAnswer: -16862037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 161?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let j(w) = -2*w + 2. Give t(j(i)).\nAnswer: -4*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g - 5*g + 3*g + (66 + 0 + 58 - 19)*(3*g - 3*g + g) to the form r*g + v and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76422599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (31\/(-18) - (-148)\/666) + 1. What is the nearest to 1 in 5, f, 1\/8, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**4\/12 + 3*z**2\/2 + 138*z. Let u(c) = -2*c. What is u(l(t))?\nAnswer: 2*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 + 28547331*o - 28547334 = 0?\nAnswer: -9515778, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560244 >= 2560248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 142?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {d: 1, z: 2, p: 1, l: 2, f: 1, j: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 + 5*v**4 + 5*v**4 + 15*v**3 - 6*v**4 + 2*v**4 - 18*v**2 = 0. What is v?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214443 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + 17*g**2 + 4*g - 4. Let d(w) = -11*w**3 + 50*w**2 + 11*w - 11. What is 6*d(m) - 17*q(m)?\nAnswer: 2*m**3 + 11*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 - (-6)\/(-8). Let b = -104\/3 + 35. What is the second smallest value in b, l, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 6 + 16. Solve -4*n + 2*q + 17 = d*q, 7 = n - 2*q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/44 and -2*(110\/(-8) + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/9 + 8\/(-24). Suppose -z + 0*z = q*n - 4, 5*n - 3*z - 5 = 0. Suppose -2*w + 5*u = 2*w - 14, 3*w - 9 = 3*u. Solve h + w = -n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.722, -32, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -900 + 917. Suppose 10*u + 2430 = -n*u. Sort -1, 0, 1, u.\nAnswer: u, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 51a?\nAnswer: -51a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13119 and 411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50622 = 75*p - 42*p. List the prime factors of p.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.74 + 4.7401. What is m rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 4?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 205*d**2 - d - 2. Let h = 534 + -535. Let c be z(h). Calculate the greatest common factor of 255 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f - 2*f)*(-15602 + 15602 - 15315*f) to the form c*f**2 + g*f + s and give c.\nAnswer: 45945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 162, -2\/11, 3\/5, -1 in increasing order.\nAnswer: -1, -2\/11, 0.2, 3\/5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 + 3 - 70285*i.\nAnswer: -70285*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 406 divide 65657506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5061 (b) -6\/7 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by -5.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(-30)*(-3)\/(-2). Solve 0 = -4*k + g - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 6. Let o be y(0). Let z(s) = -9 + 22 - 6 + 2*s. Determine z(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269860885 not equal to -269860883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 = 14*n - 131 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21950\/13170 + (-63 - -2)*-2*1\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.97 - -10.96996884. What is j rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 46 = -554. Calculate the remainder when r is divided by (-7888)\/(-187) - (-13)\/(1001\/(-14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 483. Let c be z(0). Suppose -c = 5*v - 1208. Suppose 6*o - o = v. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427158438 a multiple of 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(7)*-2 - sqrt(7))*6 + ((sqrt(700) + -1*sqrt(700) - sqrt(700)) + -1 - sqrt(700)))**2.\nAnswer: 152*sqrt(7) + 10112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 10*s - 4389 - 151, 3*s = 2*p + 1369. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 1. Does 11 divide p(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555884029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/13 (b) 163\/5 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - -2.94. Let i = 0.2 + k. Let g = -1.4 + 1. What is the third biggest value in 4, g, i?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34619?\nAnswer: 13, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182346270 or 0.2?\nAnswer: -182346270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-48) + (-77)\/(-63).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3474 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -628 divided by -4.\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13, 1, 39, 113, 235, 417, 671, 1009?\n\"Answer: 2*l**3 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - 22*p - 59*p)*((3 - 1 + 0)*(2 - 4 + 4) - 3 - 3 + 4) to j + n*p and give n.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*k**2 + 38*k**2 + 20*k**2 to u + j*k**2 + a*k and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -187 + 191. Calculate the highest common divisor of a and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Find the first derivative of -z*x**3 + 47*x**3 - 11*x**3 + 66 + 18*x**3 wrt x.\nAnswer: 153*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2617*t**3 + 8412*t**3 - 1666*t**3 - 915*t**3.\nAnswer: 8448*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 0*w**2 + 0*w**2 - 2*w**2. Let i(l) be the third derivative of -l**5\/120 - l**3\/2 + l**2. Let b(s) be the first derivative of i(s). What is d(b(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**3\/6 + 6*m. Let k(j) = 5*j. What is k(t(h))?\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-43098\nAnswer: -8619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 104 - 66 = -144 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1166, -2360, -3580, -4838, -6146, -7516, -8960, -10490?\nAnswer: -12118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0329187 rounded to four dps?\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18.9, -114, -2.\nAnswer: -114, -18.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-10)*(-132)\/297. Let j(y) be the second derivative of 0*y**2 + 0 - t*y**5 + 4\/3*y**4 + 0*y**3 + 20*y + 2\/15*y**6. Factor j(a).\nAnswer: 4*a**2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n\/(n*n**(-1\/2)))\/n))\/(n**4*n*n*n)*((((n*n*n*n*n**(-4\/3))\/n)\/n)\/n)\/(n**9\/n*n))**(1\/10) assuming n is positive.\nAnswer: n**(-19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/18 (c) -255\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 281, -3.\nAnswer: -3, -1\/11, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799823 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.25784 rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*v + 36 = -5*k, -4*k = 597*v - 598*v - 33 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.93 + -2.92719. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10595 + -10574. Solve 0 = 2*w - x + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/10 and -187\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 13772*x**2 + 55064*x + 55056.\nAnswer: 2*(x + 2)**2*(x + 6882)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/9 + 2\/(-3). Suppose -o*r - 13 - 5 = 0. What is the tens digit of 24\/((r\/(-6))\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -35 in ascending order.\nAnswer: -35, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n - 4. Let r be h(3). Suppose 0 = r*a - 8 + 4. Suppose 0*s - a*w = s - 417, -3*s + 1207 = -5*w. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12433 (base 6) to base 11.\nAnswer: -1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(98) + 0 - sqrt(98)) + 2 + (2*sqrt(98) - sqrt(98)) - (5 + (2*-2*sqrt(4))\/sqrt(2)))*-1.\nAnswer: -11*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 - w**2 + 1. Let l be k(1). Let x = -6 + 3. Let t = 18 + -18.1. Which is the nearest to 0.1? (a) t (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -7*d**2 - 2*d + 6. Let q(i) = -2*i**2 + i + 1. Let u(z) = -o(z) + 4*q(z). Calculate u(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 1, d: 6, t: 1}. What is prob of picking 1 p and 1 o?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372.6478 rounded to the nearest integer?\nAnswer: 4373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -10 + 4 + -13 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16 and 3 - (2 + (-112)\/6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 6*z + 4. Let h be p(5). Suppose 2*y - 15 + 23 = 0. What is the units digit of h\/(-2) - 254\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11 + 6 + 4 + 1)*(-3*o**5 + o**5 - 4*o**5 + (-3 + 3*o**3 + 3)*(-2*o**2 + 4*o**2 - 3*o**2) - 2*o**5 + o**5 - 3*o**5).\nAnswer: -208*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**5 + 0 + 0 - 4*i**4 + 4*i**4 + i**5 + (3*i**3 - 3*i**3 - i**3)*(2*i**2 + 5*i**2 - 5*i**2) - 108*i**3 + 208*i**3 - 5*i**5 - 11 - 99*i**3.\nAnswer: -4*i**5 + i**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {i: 7, k: 3, b: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.89514 minutes to nanoseconds.\nAnswer: 5513708400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/39)\/z*z)*z**43)**21 assuming z is positive.\nAnswer: z**(12019\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6267, 6265, 6263, 6261, 6259, 6257?\n\"Answer: -2*b + 6269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Solve -3*a = 3*h - 51, 0 = -4*a + 278301 - 278241 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 470181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 12*s**2 + 19*s - 3. Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 2:14 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/41602 and -111\/37820.\nAnswer: 416020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*n + 13 + 1 - 8 - 48*n - 6.\nAnswer: 59*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 252.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -32*t + 3. Let k(y) = -255*y + 25. Let m(j) = -6*k(j) + 50*q(j). Let b(h) be the third derivative of -h**4\/24 - 1434*h**2. Determine m(b(u)).\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000677 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-324.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16413*z - 32342*z + 15870*z.\nAnswer: -59*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*z**2 - 71*z**2 - 5*z**3 + 2*z + 41*z**2 + 2*z**4 + 2*z**3 to j + q*z**4 + n*z**3 + o*z**2 + t*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46269078623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1457*s - 14611. Determine n(10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-104)*91\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4360 + 61?\nAnswer: -4266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 72*b**3 + 23*b**2 + 10*b - 9. Let d(s) = 2*s - 1. Let t(c) = 5*d(c) - r(c). Find the third derivative of t(y) wrt y.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.134723 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 302, 491, 718, 995, 1334?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-2\/13)*p\/p**(-4)*p*p*p**(1\/11) assuming p is positive.\nAnswer: p**(78\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -8300\/3*s + 5\/3*s**4 - 130\/3*s**3 - 685*s**2 - 9500\/3 = 0.\nAnswer: -5, -2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-3*2*sqrt(171) + -6*(sqrt(171) + -1) - (sqrt(171) + (-1 + sqrt(171) + sqrt(171))*1)*-2) + 1)**2*1.\nAnswer: -180*sqrt(19) + 6178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 274 by 10.\nAnswer: 137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 5.9. Let s = o + 5.5. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*t + 541*t - 822*t.\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10464159.853 take away -11.1?\nAnswer: -10464148.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, g: 6}. What is prob of sequence qg?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 183 - 182.9999774. Round m to six dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**3*h*h**(-3\/2))\/(h**6*h*h\/(h*h**(-7)\/h)))**40)**(5\/11) assuming h is positive.\nAnswer: h**(-3500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34511 divided by -1.\nAnswer: -34511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.0018 * -1.8\nAnswer: -1.80324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.9320452 and -6.6.\nAnswer: -13.5320452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 440*d**3 - 2*d**2*y - 103*d - y wrt d.\nAnswer: 2640*d - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/(-2)))\/(9 - 4928\/546).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5444*y + 99*y**2 + 2721*y - 21*y**2 + 2725*y. Let j(c) = 21*c. Determine j(i(l)).\nAnswer: 1638*l**2 + 42*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 476*j**2 + j + 60. Determine k(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -0*g + 12. Let q = 0.138 + -1.138. What is the closest to -2\/5 in q, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.2, 5, -8\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -113\/11, -0.4, -33 in ascending order.\nAnswer: -33, -113\/11, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3771*g - 1831*g - 4842*g as p*g + n and give p.\nAnswer: -10444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**4\/11 - 2190*g**3\/11 - 8832*g**2\/11 - 8856*g\/11 = 0 for g.\nAnswer: -2, 0, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011000000010001101011111 + 101?\nAnswer: 10011000000010001101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.11 + 0.11. Let u = -2 + 2.4. Let l = -12 - -11. Which is the nearest to l? (a) z (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1, 4, -2, 2.\nAnswer: -2, -1, 2, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 - 2864.59560516.\nAnswer: -2646.59560516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 543.9418 millimeters?\nAnswer: 0.5439418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2910, -2909, -2908, -2907, -2906?\nAnswer: -2905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 160*h**3*u**2 - 713*h**2*u**2 wrt h.\nAnswer: 960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i**(2\/13)*i))*i\/i**(13\/4)*(i**(-7)\/i)**(3\/19))**(-31) assuming i is positive.\nAnswer: i**(72261\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {k: 5, e: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5 - 753*i**4 - 24630*i**3 - 184260*i**2 + 694728*i + 1941408 = 0?\nAnswer: -214, -21, -18, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.039 - 16.74. Let s = h + -0.069. What is s rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*1*(-8)\/50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, 2 in ascending order.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71066 (base 10) to base 2.\nAnswer: -10001010110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 20\/17?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)\/z**3)\/((((z\/z**10)\/z)\/z)\/(z\/(z*z**(-5)))))**(-28) assuming z is positive.\nAnswer: z**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 2*t**2 - 2*t + 3. Let x be w(-3). Let z = -565.3 + 565.36. What is the biggest value in z, 1\/11, x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**5 + 6*k**5 - k**5 - 14*k + 6*k**5 wrt k?\nAnswer: 320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 18 = 6, 92*l + 7*l - 5*a = -673 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39 + -2 - 18\/(-6). What is the highest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218 divided by -10957\nAnswer: 218\/10957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 35 = 3*u + 3*x, u = 4*x + 25. Let i be 60\/u*(47\/15 - 3). Factor i + 14\/9*m**4 + 2\/9*m**5 + 32\/9*m + 50\/9*m**2 + 38\/9*m**3.\nAnswer: 2*(m + 1)**3*(m + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5180156950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 49072 + 0.2\nAnswer: 49072.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 2*b + 13*b + 414, -215*b - 30 = -g - 214*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -0*f + 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 11038*w\/7 + 22084\/7.\nAnswer: -2*(w - 5521)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-27))\/(4\/(-6))*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/1473 - -16533\/982. Find the common denominator of -17\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 4*z**2 + z - 2. Let l be f(4). Solve l*w - 7*w + 15 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(3*j - 3*j - 2*j**2) + 0*j**2 - 3*j**2 - 2*j**2 + 2*j + j - 3*j - 5171*j**2 - 1950*j**2 - 170*j**2.\nAnswer: -7298*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -323*h + h**2 - 1 + 3*h**2 + 321*h + 21*h**3 as n*h + j*h**2 + i*h**3 + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*x - x. Suppose -x*p + 9 = -6, 2*m - 2*p = -8. Which is greater: m or -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 495 = a + 500, 0 = -2*w - 2*a - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -581.9999968511 + 582. Round l to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(18)*2.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 345*w**3 + 3075*w**2 + 7375*w.\nAnswer: 5*w*(w + 5)**2*(w + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Let h = b - 4.3. Let k = -20 - -138\/7. What is the smallest value in 2\/13, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7631091\/429 - (-2)\/(-22). Which is bigger: h or 17789?\nAnswer: 17789","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*c + 19 - 17, -2*s + 2 = -c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 10, -2, 22 in descending order.\nAnswer: 22, 10, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1\/2 (c) -1\/2480\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397986906.\nAnswer: 2, 3, 66331151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3206900 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(425) + sqrt(425)*-2*3)**2 - (sqrt(119) - -3*(sqrt(119) + sqrt(119)*-2 + sqrt(119)))\/(sqrt(7) + (sqrt(567)*-1 - sqrt(567))).\nAnswer: sqrt(17)\/17 + 10626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 - 5*o + 7*o**3 + 5*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -50, -64, -66, -50, -10, 60?\n\"Answer: v**3 - 21*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4171, -16619, -37385, -66475, -103895, -149651?\nAnswer: -203749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/1)\/4 + 2 - 2. Suppose p - 8*y + 9*y - d = 0, p - y - 7 = 0. Solve -3*x - x + 12 = -p*h, 0 = -x - 3*h - 17 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 - 51*h**3 + 21303*h**2 - 286529*h + 265278 = 0.\nAnswer: -179, 1, 13, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.2 + 0.26. Let n = u + -153.46. Let k = 150.103 + n. Round k to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11180 = -2*d - 41*n + 40*n, 0 = -4*d - n + 22358. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**4\/2 + 5*p**3\/2 + 10*p**2 - 5. Let z(r) be the second derivative of n(r). Is 7 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23.041356 months?\nAnswer: 0.01920113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-4))\/((-13)\/(-104)). Is ((-7455)\/b - 4)*(0 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i. Let o(w) = 3*w**3 + 4*w**2 + 2*w. Let h be o(-3). Let c(p) = 8*p**2 + 17*p. Calculate h*s(r) - 6*c(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 276 + -277. Let g(r) = -5*r**2 + 2*r. Let u be g(1). Sort 2, u, 3, f in increasing order.\nAnswer: u, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, 73, 202, 371, 574?\n\"Answer: -b**3 + 29*b**2 + 3*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/30101 and 7\/93.\nAnswer: 90303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 93 = 36*q - 16*q - 17*q + 19*u, 0 = 2*u + 2 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 - f**2 - f + 1. Let g be t(1). Factor 6*u**2 - 3*u - 2*u**3 + 7*u**3 - 8*u**g.\nAnswer: -3*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -1118, -3754, -8962, -17600?\nAnswer: -30526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -146*i**4 + 45*i**4 - 185*i**4 + (-i**2 - 1 + 1)*(-i**2 - 3*i**2 + i**2).\nAnswer: -283*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.505 + -7523814933?\nAnswer: -7523814932.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 17568.36211 rounded to the nearest one hundred?\nAnswer: 17600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/(20\/24))\/(-2) - (-220253)\/55.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/4 (b) -6\/7 (c) 0.1947\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:44 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-777)\/222)\/(7\/(-9)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -48*k**3 - 101*k**2 - 18*k + 42. Let j(c) = 2*c**4 - 3*c**3 + 2. Let n(r) = 3*j(r) - 3*v(r). Let n(f) = 0. What is f?\nAnswer: -20, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -383*i**4*t**2 - 6*i**4 + 16671*t**2 wrt i.\nAnswer: -1532*i**3*t**2 - 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 92349 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72 times -390289\nAnswer: -28100808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/4*1968\/4264)\/((-6)\/(-88))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0*y + y + 25 - 2*y. Is n(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -2, -4, 4 in decreasing order.\nAnswer: 4, -2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -21017 at least -21019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -405. Suppose -7*i = -z - 80. Find the third derivative of -5*g**3 - 11*g**3 + 8*g**2 - i*g + 37*g wrt g.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1491 - -1703. Calculate the least common multiple of u and 53.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -x + 11989, 4*w - 27469 = -2*x - 3511. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 0)*(52*y - 12*y - 195*y)*(-3 + 19 + 5)*(4*y - 3*y + 0*y) in the form n*y + m + j*y**2 and give j.\nAnswer: -6510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from dmbuub?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.66 + -26.66. Let j = 25.9996 + v. What is j rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*i + 52 = 24, -9 = -3*t + 3*i. Let y be (-12 - -12)*1 - 1*t. Suppose m = -0 - 1. Are m and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + 12a291c?\nAnswer: 12a2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -h - 3*k + 11, 0 = 2*h - 5*k - 15. Which is smaller: 11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -25*x**3 - 4*x**2 - 4*x + 5. Let q(g) = -49*g**3 - 7*g**2 - 7*g + 10. What is -7*p(k) + 4*q(k)?\nAnswer: -21*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 - -0.11. Let d = 0.37 + j. Let z = -0.1 - 0. What is the nearest to z in -2\/9, 1, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(605) - 3*(sqrt(605) + -4)) + sqrt(605)*-4 + -3))**2.\nAnswer: -29700*sqrt(5) + 546525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1956*u + 68*u**3 - 135*u**3 + 1563*u + 71*u**3 to o + n*u + b*u**2 + s*u**3 and give n.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 4859*d**3\/3 - 70*d**2 - 18*d - 5620. What is the second derivative of c(l) wrt l?\nAnswer: 9718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1934 + 1967. Solve -13*b + h = 7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184799?\nAnswer: 3, 7, 11, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2335 - 1558. What is the highest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 101 + -112. Let f be (-2)\/(w - (-2 + -1)). Put f, -1\/2, 3 in descending order.\nAnswer: 3, f, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 k, and 1 u when four letters picked without replacement from {k: 3, b: 7, j: 3, u: 6}?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29232 = 989*v + 55*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 32. Let o be -2 + 1 + v + 12. Solve 4*z + 12 = -4*q, -4*z - o + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10947, 11581, 12631, 14097, 15979?\nAnswer: 18277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u**5 + 0*u + 0 + 1\/30*u**6 + 1\/3*u**3 + 0*u**4 - u**2. Find the first derivative of s(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + ((-285)\/(-90) - (-2)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58213425.\nAnswer: 3, 5, 776179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**3 + 204270*m**2 + 10411101*m + 77156226 = 0.\nAnswer: -68039, -42, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -73.43. Let p = 0.062 - q. Let c = p + -0.5. Round c to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 137851.\nAnswer: 1240659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 171 - 1 = 0. What is the remainder when 49 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - -12. Let l = g + -42.4. Put 4, -3\/2, -7, l in descending order.\nAnswer: 4, l, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33612 (base 15) to base 7.\nAnswer: -1250201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, -4 = 4*u - 4*h - 0*h. Let a = u + 17. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 1, i: 3, u: 5, o: 1, k: 1}. Give prob of picking 1 o, 1 q, 1 f, and 1 k.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -405 - 2?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (17 - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2494 and 93998.\nAnswer: 2725942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2*w**3 - 6 + 7 - 1.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/60 - 4\/15. Let q = 0.02 + -3.02. Let h be (-2)\/3*6\/(-14). Which is the closest to h? (a) q (b) m (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*p. Suppose p = -3*b - b + 388. Suppose 2*m - b = -31. Solve -3*r + 8*r + 4*c - m = 0, -5*r + 19 = -3*c for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5401285174 to the power of 1\/4, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y - 1\/3*y**3 - 1\/2*y**2 - 1 - 1\/4*y**4. Let g be q(-2). Solve g + 0 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 446*x - 19. Let h(a) = 2*a. Determine h(i(t)).\nAnswer: 892*t - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 150 = -390*b + 394*b, 0 = -2*q - 4*b + 190. Calculate the remainder when q is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13668 is divided by 95?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 212. Let t = k - -157.1. Let m = -66 + t. Put 0.5, m, -0.1 in increasing order.\nAnswer: m, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 714 + -673. Calculate the remainder when 119 is divided by i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b. Let f be h(-1). What is the second derivative of 3*y**5 + 3*y**5 - y**f - 3*y wrt y?\nAnswer: 100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (61 + (68 - 126))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, d: 3}. Give prob of sequence didd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 748566 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.6 and 2.4?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 987*n**3 - 2*n**2 - 8*n + 30. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1341 by 447.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - t**2 - t**2 - 2*t**2 to y*t**2 + g*t + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1359, -11182, -37879, -89910, -175735, -303814, -482607, -720574?\nAnswer: -1026175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l**6 + 0*l**3 + 17\/168*l**8 + 0 + 0*l**7 + 0*l**4 + 0*l - 38*l**2 - 83\/60*l**5. Find the third derivative of p(t) wrt t.\nAnswer: 2040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -3, 2, 0, -29, -171.\nAnswer: -171, -29, -3, 0, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484272 divided by -684.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Let t = -1.4 + 1. What is the nearest to q in t, 3\/5, 4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 5*g**2 + 52*g + 75*g**2.\nAnswer: 80*g**2 + 52*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3)\/l*l\/(l*l\/(l**(-1\/11)*l)*l)*l**(-3\/14)*l**6 assuming l is positive.\nAnswer: l**(1185\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 31*l**2 - 18*l - 27. Let j be s(-16). Let v = -11 - -15. Suppose v*i - j*z = -20, -i = -z + 5*z - 16. Solve 0*q - q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2\/7 (c) 6 (d) 1 (e) -29 (f) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 504, 685, 732, 579, 160, -591?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 - 7*d + 2. Let r be p(-7). What is the units digit of r*(9\/3 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46328444 + -24.4.\nAnswer: -46328468.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - (-25 - -13 - -9)*234\/(-54)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(76) - (2 + sqrt(76)*-2))**2*-3*5.\nAnswer: -223500 - 1680*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 15) to base 14\nAnswer: 1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6722, -13455, -20196, -26945, -33702, -40467, -47240?\nAnswer: -54021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 4*v**4 + 2*v - v)*(v + 2*v - 5*v) + v**4 - v**5 - v**4.\nAnswer: 3*v**5 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 23028*y**2 - 253680*y + 646016 = 0. What is y?\nAnswer: -5768, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 5*g - 11. Let t be (1 - 6\/4)\/((-1)\/10). Let j(s) = -11*s**2 - 8*s - 17. Let m(h) = t*j(h) - 8*n(h). Calculate m(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**8\/2016 + f**7\/1260 + 6*f**2. Factor w(k).\nAnswer: -k**4*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iilfgij. Give prob of picking 2 i and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*h + 98485010 = 335*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**3 + 17188*t**2 + 86002*t - 103188 = 0.\nAnswer: -6, 1, 8599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*r*s**2 - 2*c*r*s + 2*c*s**2 - c*s + 6*r*s**2 - 64*r wrt s?\nAnswer: 4*c*r + 4*c + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 23 = -4*p, -5*p = -2*l - 3*l + 25. Suppose 0*v - 669 = -l*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 42*y**2 + 4*y + 11. Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.465551 months to decades.\nAnswer: 0.087212925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18163*p - 9104*p = 9143*p + 168 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 + 3*h**2 - h**3 - 1 - 6 + 3 in the form l*h**3 + z + k*h**2 + f*h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t - 141. Let b be f(36). Suppose 5*c - 2*s = 2, 3*s = -4*c + 7*s + 4. Solve 5*m + 5*o - 5 = c, -3*o - 12 = -b*m + 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-98)\/(-6) + (-15)\/45. Let b be 1\/(-4) + 500\/k + -5. Let h(u) = u**2 + 13*u - 38. Let w be h(-18). What is the highest common divisor of w and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1464482ns?\nAnswer: 0.0000001464482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41607217?\nAnswer: 163, 255259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2 + 3 + -3. Let a(z) = -246*z + 981. Let j be a(4). What is the biggest value in -18\/11, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2518442*x**2 - 2518445*x**2 + 5036886*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1444900 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 7) + (-1 - -3). Suppose v - 6 - 4 = b. Calculate the smallest common multiple of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02945 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1230493 is divided by 83.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4 - 1 + 0 - 3*m. Let i(v) = v**2 + 4*v - 1. Suppose 0 = -3*w + w - 10. Let n be i(w). Determine j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 225695.3 millilitres?\nAnswer: 225.6953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 56 - 35. Calculate the remainder when 144 is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -212, -157, -90, -5, 104, 243, 418, 635?\n\"Answer: w**3 + 48*w - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d - 16. Suppose 0 = 3*r + 4*b, -r - 5 = 4*b + 3. Suppose -3*v + 2*q + 1 = -2*q, 45 = 5*v + 2*q. What is the smallest common multiple of w(r) and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -9*c**6 + 2*c**5 + 2*c**4 + 4*c**2. Let w(p) = p**5 + p**4 + p**2. Let a(s) = -m(s) + 2*w(s). What is the third derivative of a(g) wrt g?\nAnswer: 1080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u + 2. Let b(k) = 2 - 5 + 2 - 6*k - 2. What is 2*b(g) + 3*i(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((0 + sqrt(684))**2 - sqrt(76)\/sqrt(4)*5).\nAnswer: -5*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(891) + 1 + sqrt(891))*5 - (3*(-2*sqrt(891) - sqrt(891)) + -1 + 0 + sqrt(891) + sqrt(891) + sqrt(891)))**2.\nAnswer: 2592*sqrt(11) + 228177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 12:52 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36*b**4 + 56*b**4 + 6*b**4 - 7 + (-2*b + 0*b + 4*b)*(-2 + 2 + 2*b**3).\nAnswer: 30*b**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389 + 764. Let m = q + -369.27. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300320.1 rounded to the nearest 100?\nAnswer: -300300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4669369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8218*p. Let q(n) = -7*n. Give j(q(k)).\nAnswer: -57526*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027226?\nAnswer: 2, 23, 137, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 3. Suppose k + 15 = s*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 363 and 297.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 359384.\nAnswer: 2156304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 2. Suppose -3*h + k*h = 0. Let v be (h - 0)\/(-3 - -4). Let s(l) = l**2 + l - 7. What is s(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 76*r - 11. Let z(g) = -20*g + 4. Calculate -3*i(t) - 8*z(t).\nAnswer: -68*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 53*k**2 - 3*k - 1126. Calculate h(54).\nAnswer: 1628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - (-19 - 298380) - 10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 8. Let o = j + 5. Let t = -221.3 + 221.8. Put o, t, -4 in decreasing order.\nAnswer: t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, d: 1, w: 3, h: 9, r: 2}. Give prob of picking 1 h and 1 s.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-15)\/((-195)\/13))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863383905 to the power of 1\/3, to the nearest integer?\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) + (-6259)\/(-2). Let r be (f\/(-22))\/(-1) + 6\/(-33). Suppose 4*w + 451 = 4*q - 77, r = q + 4*w. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, q: 4, n: 2, k: 2, l: 1}. What is prob of sequence qllk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 1.64. Round x to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.93842 centuries to decades.\nAnswer: 79.3842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b + 42. Let s = -11 - b. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.642221ml in litres?\nAnswer: 0.006642221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 26*p**2 + 169*p + 277. Let f be r(-4). Let v = 11 - -2. Which is the third smallest value? (a) v (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 0 + 0)*(1 - 1 + 2) - 3 + x + 3 + (0*x - x + 4*x)*(2 - 5 + 1).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -57 - 6*f + f**2 + 57. Let u be g(6). Solve u = -5*v, 0 = -0*z - 2*z - 5*v + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 134.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - 74 - (-9 - 2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**4\/21 - 8*s**3\/21 - 6*s**2\/7 - 33*s. Factor p(z).\nAnswer: -4*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*l - 5*l. Let v(a) be the first derivative of 0*a**2 + l + 0*a + 1\/3*a**3. Let m(x) = 2*x**2. Calculate m(v(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(17\/2)\/r))\/r)\/r*((r*r*r*(r*r\/(r\/(r\/(r*(r*r**7)\/r*r)))*r)\/r)\/r*r)\/r assuming r is positive.\nAnswer: r**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -786, -787, -788, -789, -790?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4339.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 16*v - 9036. Give o(-43).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 59, 62, 65, 68?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135725 - 135725 - 229*y.\nAnswer: -229*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -117, -252, -441?\n\"Answer: -27*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923929149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182619 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 55. Let t = -30 - s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*b**4 + 2*b**5 - 579*b - 24*b**4 - 3*b**5 wrt b.\nAnswer: -20*b**3 + 1164*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12687000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -14234.7406 to the nearest 10.\nAnswer: -14230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 5:51 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -149412*v + 8068257. Give f(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 3346 = -2072. Is 50 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:22 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:16 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y**2 + 28*y**2 - 7*y**3 + 2*y**3 + 3*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -292281573230 - 4.\nAnswer: -292281573234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902855 divided by -180571.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -299 - -3885\/13. Suppose -6*f + 48 = -4*f. Suppose -3*a - 3*a - f = 0. What is the second biggest value in a, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1244927, -3\/5, -2\/73?\nAnswer: -1244927","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 7:37 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*h**3*t**2*z + 3*h**3*t - h**2*z + 6*t**2*z - 29*t**2 + 5 wrt z?\nAnswer: -80*h**3*t**2 - h**2 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 41, 70, 117, 188, 289, 426, 605?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:40 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/60*b**4 + 1 + 0*b**3 + 1\/120*b**6 - 1\/2*b**2 + 0*b + 7\/300*b**5. Let c(z) be the second derivative of u(z). Factor c(y).\nAnswer: y*(y + 1)*(5*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 + 30*l**4 - 18*l**3 - 264*l**2 - 339*l - 126 = 0.\nAnswer: -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + (sqrt(500)*-1*-4 - sqrt(500) - sqrt(500) - 2*sqrt(500)*1))*2*2 + -4)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojog when four letters picked without replacement from {j: 4, o: 5, g: 8}?\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 15, 1, 5, -259, -22 in descending order.\nAnswer: 15, 5, 4, 1, -22, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 5. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 169 (c) 2 (d) -0.5 (e) -0.4 (f) -685\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (3\/(-2))\/(7\/14). Sort -1, -3, z in descending order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - 2*z**3)*(-2*z + 4*z - z) - 145*z**4 + 1061*z**4 + 530*z**4 + 76*z**4.\nAnswer: 1520*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*q**5 + 12*q**4 - 42*q**2 - q wrt q.\nAnswer: -900*q**2 + 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -10, 82 in descending order.\nAnswer: 82, -10, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-962)\/(-481)*2\/44 + ((-1164)\/(-22) - -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 6 = 25*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Suppose -2 = -k*b + 14. Let z = -17 - -24. What is the remainder when z is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 minus -355062811892?\nAnswer: 355062811893.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 0*p**3 + 6*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 6:08 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2086*w - 18766. Let f be m(-9). Solve -y - f = -14 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5\/7 - 14640*q**4\/7 + 26820464*q**3\/7 - 107106240*q**2\/7 + 107047712*q\/7 = 0.\nAnswer: 0, 2, 3658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -1\/75*f**5 + 5*f**2 + 0*f**3 + 0*f + 1\/30*f**4 + 0 + 1\/600*f**6. Factor g(q).\nAnswer: q*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6369 - 6185.92. Round d to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 5*g. Let y be (-1)\/5 + (-34 - (-20202)\/585). Solve -y*m**g + m + 10\/3 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 divided by 14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2. Let l(t) = -t**2. Let b(q) = 5*l(q) + 2*p(q). Let a be (-10)\/(-3) + (-1)\/3. Let n(w) = 0*w - 4*w + 3*w + a*w. Determine b(n(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-1)*(-12)\/30*5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:04 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(1 + 1 - 1) - 5 + 1 + 5 + (0 + 3 - 2)*(2 - 1 - 2) - 7 - 8 - 69)*(3 - 2 + 1)*(-l - 3*l + 2*l).\nAnswer: 344*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*(-54)\/(-540). Let b(m) be the third derivative of -1\/60*m**5 + 0*m + 5*m**2 + 0 - f*m**4 + 7\/6*m**3. Calculate b(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/103 (b) -2\/239 (c) 0.1 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {x: 1, s: 8, l: 1, c: 4, a: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*w + 9774, -5254 + 15037 = 3*w + 4*c. Is 113 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/2, -3\/4, -0.1, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216228*w + 216237*w + 333 = 0 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22\/13, 766, -5 in decreasing order.\nAnswer: 766, 22\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*t**4*y + 16*t**2*y**2 + 8*t**2 - 4166*t*y + y**2 + 3 wrt t.\nAnswer: 660*t**2*y + 32*y**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -40, -2, 74, 200?\n\"Answer: 2*b**3 + b**2 - 5*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 70*l**2*n + 18180*l**2 - 3*l*n + 4*l - 5*n - 68237 wrt l.\nAnswer: 140*n + 36360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1946269 + -3237012. Let c = o - -1290745.799885. Let q = 2.8 - c. Round q to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*v - 38 = 129*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8883*s + 987. Let c(u) = 8*u + 1. What is -987*c(g) + i(g)?\nAnswer: 987*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431723147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 4 - 15) + -12 + 8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(91\/56) + 3. Let m be s + 8 - (-4)\/((-44)\/129). What is the closest to 1 in -2, m, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -40*b - 11. Let s be h(-5). Calculate the greatest common factor of s and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649*h**2 - 51*h + 3180*h**2 + 51*h - 1532*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916141659?\nAnswer: 3, 305380553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 0.0644 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) 0.3 (b) 129 (c) 3\/4 (d) -5 (e) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 5*h - 2. Suppose 0*s + 3*v = -5*s + 28, 16 = 3*s + v. Suppose 2*x + 3 = 13. Let b(n) = 14*n + x*n - 20*n + n**2. Calculate s*b(p) - q(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 133 = -t + 173. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*f + 545*f - 521*f = -26775 - 93455 for f.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16727*c**2 + 3216*c**2 - 48 + 48 - 21645*c**2.\nAnswer: -35156*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/15)\/(8\/(-100)) + 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let g be ((-30)\/(-24))\/((-1)\/4). Which is the third smallest value? (a) g (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 6 - 3*r - 2 + r. Let j = -14 - -28. Let c = j + -8. Determine b(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.246 + -0.521. Let g = v + -0.025. Let u = g + -8.700325. Round u to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6345 by 5.\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 9. Let s be b(9). Let f be (2 + s)*(-3)\/(-6). Which is bigger: f or 2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/5 + 1606743*p**2\/5 - 43016283936*p - 14417668690176\/5 = 0. Calculate p.\nAnswer: -67, 267824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-15)*(334\/(-20) + 17)\/((-1)\/1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 63232.72kg?\nAnswer: 63232720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114815196653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519764 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -2\/5, 0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496, -495, -494?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094102.\nAnswer: 2, 199, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1189*k - 71329. What is r(60)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/50*(-2 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17818 + -548?\nAnswer: 17270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.84. Let d = 0.24 - q. Let h = 85 + -253\/3. Sort -1, h, d in decreasing order.\nAnswer: h, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 5. Suppose p - 2 - a = 0. Suppose p = g - 4. Solve -5 = g*h - 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*((-7)\/7)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-80)\/44)\/(-5))\/(14*(-89)\/130207).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/9 and 3\/353?\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, v: 2, s: 4}. Give prob of sequence svs.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 - 18*l**2 + 73*l - 86. What is the units digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212112010121 (base 3) to base 6\nAnswer: -13531324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30.364 - 68.364. Let z(k) = 6*k**3 + 2*k**2 + 2*k + 1. Let p be z(-1). Which is the nearest to t? (a) 2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlvjcdlc. Give prob of picking 2 j, 1 v, and 1 d.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1860\/13 in 5, 0.5, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27331 - 27316. Solve -3*l = -3*u + 12 - y, 0 = 5*u - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let k(g) be the third derivative of g**5\/60 - 24*g**2. Give z(k(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1428209865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - u - 5, -3*z = -z + 2*u. What is the derivative of -6*v**3 - 8*v**3 - 2*v**3 - 6 + z wrt v?\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20585839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(0 - 2\/2). Suppose -p*a = -4*a + 166. What is the remainder when a is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*n**3 + 51*n**3 - 14*n**3)*(-2 + 2 - 3) to q*n + o*n**2 + w*n**3 + j and give w.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78045)\/660)\/(11\/4)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47741 + 47738. What is the biggest value in q, -1\/2, 5, -39?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 799*f**3\/3 - 340*f**2 + 405. Find the second derivative of y(w) wrt w.\nAnswer: 1598","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13330121 + 13?\nAnswer: 13330134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c + 48*c + 49*c - 19*c + 42*c - 7.\nAnswer: 160*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 4*a + 3. Let k be f(3). Suppose -2*p = 4*v - 31 + 3, 4*p - 5*v - 4 = k. What is the remainder when p is divided by 294\/(-84)*6\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -104 (b) 0.5 (c) 0.09 (d) -3 (e) -5\/4 (f) 233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 3*y**2 + 9*y - 1. Let w be n(4). Suppose 0 = 13*q - w - 7. Solve -q*u + u + 5*v = -21, 4*u - 4*v = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -70 - 57260?\nAnswer: -57330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/18)\/((-4)\/6)*435\/(-1015).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, x: 6}. Give prob of picking 1 a and 3 x.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 5) to base 15\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 774, 1544, 2228, 2814, 3290, 3644, 3864, 3938?\n\"Answer: -2*x**3 - 31*x**2 + 877*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 465 = -0*n - 3*r, -4*r + 318 = 2*n. Let o = -603887 + 1208077\/2. Which is bigger: o or n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 + 16592*r = 0 for r.\nAnswer: 0, 4148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 - 8*g**4 - 24*g**3 + 80*g**2 - 76*g + 24.\nAnswer: 4*(g - 2)*(g - 1)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(1022\/42 + -24). Let w(f) be the first derivative of 12*f - 1\/4*f**m + 9\/2*f**2 - 30 - 7\/3*f**3. What is w(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174.1 * 0.04\nAnswer: 6.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -22 (b) -2 (c) -9827836\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 - 2*a + 34. Give r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykhyph. What is prob of sequence hyyk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from srsiriiasissciwa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 15*n - 16. Solve -5*l = -3*j - 18, n = 5*l + 4*j - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g - 87071 = 325696 + 54685. Does 41 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*r. Let p be (-3)\/(7*12\/112). Are r and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z - 8. Let v be p(-8). Suppose -5*h + v = -6. Sort h, -4, 1 in decreasing order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 53*i**2 + 212*i + 6. Calculate p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 5371163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 8674272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -411845.\nAnswer: 2\/58835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/11 + 5286*n\/11 - 10580\/11 = 0. What is n?\nAnswer: -2645, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, -4, -418 in descending order.\nAnswer: 0, -4, -11, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 390565 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 224*a**2 - 224*a - 196. Let w be f(113). Solve 42 = 2*k + w for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -21. Let j = 71.9999987 - k. What is j rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 8*z + 5. Let r(y) = y - 1. Let t(n) = -g(n) - 6*r(n). Let s be t(2). Let c(p) = 0*p**2 - s - 2*p - p + p**2. Give c(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5108.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1010111101110 (base 2) to base 10\nAnswer: 5614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -1. Let u = 7 - h. Which is the nearest to 0.1? (a) -7 (b) 5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - 4)) + 2 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 p, and 1 w when four letters picked without replacement from ypynqpqw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 29 - 4*s)*(2 + 3 - 4)*(-1 - 1 + 3)*(30 - 18 - 14)*(1 - 1 + s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/(-10))\/(2\/(-32)). Find the first derivative of 5*o**4 - 1 + o**4 + j - 1 wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 387662 and 14740?\nAnswer: 3876620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -60 + (4 - 16 - -9 - (-5 + 11 + 0))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23228, 23230, 23232, 23234, 23236, 23238?\nAnswer: 23240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40765 or -40766?\nAnswer: -40765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/98*784\/48\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.31 - 9.31. What is the second smallest value in -1\/13, j, 6?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 550, 415, 236, 19?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240419850 rounded to the nearest 1000000?\nAnswer: 2240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*q + y, 0*y + y = 3*q - 14. Suppose 3*d + 5*c + q = -10, -2*d = -3*c - 21. Solve 6 - 15 = -d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1420200403 (base 5) to base 15\nAnswer: 4c9ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/18*-6*12\/18\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 - (5 + 3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Suppose 9 = -i + k*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-14) - 4\/(-14). Suppose l = -3*w - r, 2*w + w + 22 = -5*l. Let f(k) be the first derivative of k**2 + 1. What is f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10659\/8 - -32009\/24. Find v such that 1\/9*v**2 + 7\/9*v + c = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51898, -170373, -367838, -644299, -999762, -1434233, -1947718, -2540223?\n\"Answer: -o**3 - 39489*o**2 - o - 12407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52624*s - 32681*s - 3011*s.\nAnswer: -88316*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -160. Let y(s) = -s + 9. Let t be y(8). What is the remainder when l is divided by t + 0 + (-68)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -424 by -4.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023501 times -3?\nAnswer: 9070503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 254, 398, 546, 698, 854?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -130129.\nAnswer: -4\/130129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1290, -2584, -3878, -5172?\n\"Answer: -1294*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 763960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 14155443\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/28*(-24)\/2. Suppose 2*n - c*n + 4 = 0. Suppose -n*l = -0*t - 3*t + 138, 4*t - 174 = 2*l. What is the greatest common divisor of t and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 2*o - 1. Suppose -5*u = -4*l - 101, 3*u + 5*l - 1 - 30 = 0. Suppose u = j + 4. What is the remainder when j is divided by k(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-3 + 2 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 506\/83163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 27*b - 241, 17 = 56*a + 54*a - 114*a + b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -148. Solve -2*g - g = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/((c*c\/(c\/(c\/c**(-1\/8)*c*c)))\/c)))\/c**8)**(-23) assuming c is positive.\nAnswer: c**(897\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.075978155 to 5 decimal places.\nAnswer: -0.07598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 3*s - s)*(-s**3 - 3 + 3) - 10618*s - s**3 + 10618*s + 38*s**4 + 0*s + s**4 + 0*s in the form f + y*s + v*s**4 + g*s**2 + h*s**3 and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6896914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (195\/6)\/(-5) + 5 + 5\/2. Let m = -30.8 + 31. Which is the fourth biggest value? (a) -4 (b) m (c) r (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 107*u**2 - 1121*u - 9511. Calculate c(94).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/54 and (-2)\/24*-2 - (-418)\/855.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.13 + 0.07. Let w = -138 - -138. Which is the closest to w? (a) 4 (b) h (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 20 = 5*j. Suppose 0 = -5*g + j*t + 30, -2*g = -t + 2*t - 12. Let h = -15592 + 15640. What is the greatest common divisor of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 12879*r**3 + 6*r**2 - 5*r - 3. Is t(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286109048 a multiple of 2373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 - 98. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -678, -1052, -1446, -1866, -2318?\nAnswer: -2808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 + v**2 + 2*v + 12. Let c be r(0). Solve -9*w = -c*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 287.99?\nAnswer: 2.8799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1494433*x = 1494430*x + 4*r + 2*r, 0 = 2*x + 5*r - 27 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -451100.642562 - 0.4?\nAnswer: -451101.042562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1474 and 7884?\nAnswer: 5810508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*k + 23*k + 3 - 3.\nAnswer: 49*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.81, 10, 403?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1240303224 (base 5) to base 13\nAnswer: 8303bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(3 - 4 + 3)*(9 - 4 + 14*g - 25*g).\nAnswer: -22*g + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.33 times 2?\nAnswer: -4.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 18248*l**2 - 1134259*l - 17595910.\nAnswer: (l - 18310)*(l + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17373054.\nAnswer: 2, 3, 37, 139, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 2*f - 2, 0 = -5*f + 3*a + 33. Solve -w + 4*x - 3 = 0, -f - 1 = -w - x for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*b + 15. Suppose 3*k - 21 = -3*l, -k = 4*k - 2*l. Suppose b*h + k*h = 0. Solve h = -0*i + i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 400 and 8.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 1.78.\nAnswer: -3.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35885 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/15 - 19*l**4\/18 - 32*l**3\/9 - 11*l**2\/3 + 129*l. Let m(w) = 0. What is w?\nAnswer: -1, -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7*135\/20 - -3*15\/(-36). Solve -m*f = -55*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 y when four letters picked without replacement from fkykgygooykxygxkyy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o**2 - 55*o + 3. Let x be n(-11). What is the smallest value in 1, 5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cab5 (base 15) in base 12?\nAnswer: 20a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + f - 33 = -0*f, 63 = -4*n + 3*f. Suppose 110 - 22 = -4*y. Let q be (-2)\/2 + n\/y. Which is the biggest value? (a) 4 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1517*g - 138046. Let q be j(91). Let r = -7.3 + 7. What is the closest to r in q, -3, 1.9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-128 - -148) + 82 - -33\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29055, -29058, -29063, -29070?\n\"Answer: -d**2 - 29054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h**2 + h**2 + h**2 - 6*h**2. Let b(z) = 3*z**2. What is u(b(x))?\nAnswer: 63*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3219*f - 12875. Let a be l(4). Let n be 6*2\/3 + -1. Solve a = -n*z - 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 1. Let u be y(-1). Let n be (-4)\/((-2 + 1)\/u). What is the units digit of (2 - n)\/3 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6457 is divided by 1102.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11 - 250*z + 117*z + z**2 + 126*z. Give t(11).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1\/2*y + 1\/3 + 1\/6*y**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -705*t**2. Let z(s) = 2*s. Give p(z(w)).\nAnswer: -2820*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -7.5?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5)\/f)\/(f*f**(5\/2)\/f)*((f\/((f**(2\/5)*f)\/f))\/f)**(4\/19) assuming f is positive.\nAnswer: f**(-1441\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 10*v**2 + 8*v + 11. Is g(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1087017\/52 - -20905. What is the common denominator of f and -7\/160?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 2*m - 13, 0 = 3*b - 3*m - 27. Let s be (-64)\/(-10) - 4 - 2\/b. Solve 4*v + s = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r*r\/((r*r**7*r)\/r) assuming r is positive.\nAnswer: r**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9692 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*x + 2581*x**2 + x**4 - 2582*x**2 + 5 + 1 + 0 in the form c*x**4 + a*x**2 + y*x**3 + q*x + z and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 34. Let m(g) = -g + 50. What are the prime factors of m(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -315 + 424. Let j = g - 111. Let d be (2 - 0) + 55\/(-15). Is d less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/3))\/(h\/h**(-4))*(h\/(h**5*h*h))\/(h**4*h*h))**(7\/9))**(1\/18) assuming h is positive.\nAnswer: h**(-175\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.75 + 2.05. Let u be 2\/(-5) + 2\/(-10). Put 5, u, a in increasing order.\nAnswer: u, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-816)\/(-2448)*(-9)\/42\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2577 - -2602. Solve -3*h + 40 = 5*z, z - 4*h + u = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -5 - (-73 + 64)) + 2 + 25.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:47 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3662158 is divided by 218.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*l - 10*l + 758 = -1405 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 28.39484ns?\nAnswer: 0.02839484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (11 - 6) - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999*w**2 + 24 - 533*w**2 - 50 + 659*w**2 + 26.\nAnswer: 1125*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or -17581?\nAnswer: -17581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 1660\/180)\/(3*4\/(-6)). Which is the closest to 18\/5? (a) 2 (b) -3\/7 (c) x (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.0216.\nAnswer: -0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11705 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 561, 0, 45, 35, 3, -3 in ascending order.\nAnswer: -3, 0, 3, 35, 45, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10852139 and 985?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 5*c + c - c - 4*c + 3*c + (-c + c - 2*c)*(2 - 3 - 1) - 5*c + 5*c + 2*c + 2*c + c - c - 3 + 0 - 2*c + 1.\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**3\/27 + 4*d**2\/9 - 2*d\/3 + 70. Determine a, given that k(a) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + 4 + 59 + -1 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from hoooohoohooooooohh?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*s - 161*m**2 - 6*m - 87*s wrt m.\nAnswer: -6*s - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-93)\/(-12) - (-7 + (-189)\/(-28)). Solve -y = 6*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*u**2*v**4 - u**2*v - 2*u*v**4 + 3*u*v**3 + 3*u*v**2 + 82*v wrt v?\nAnswer: -1968*u**2*v - 48*u*v + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200 + -34?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 964812 divided by -6.\nAnswer: -160802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 57230\/(-3116) + (4 - 7). Let i = 17122509\/805486 + m. Let y = 2\/517 + i. Which is the smallest value? (a) 3 (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 4*b + 5*b)*(0 + 0 + 2*b**2) + b**2 - 22*b**3 + 72*b**3 - 45*b**3 + (-2*b**2 - b**2 - b**2)*(0*b - 5*b + 2*b).\nAnswer: 15*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -43 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9181*m**5 + 5*m**4 - 300*m**3 + 184627168*m**2 wrt m.\nAnswer: 550860*m**2 + 120*m - 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16078 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 85*b. Let k(f) = -71 - 6*f + 9*f + 71. What is k(p(y))?\nAnswer: -6*y**2 + 255*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/252 - -115\/756. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - w**2 - 2*w - 4. Suppose -6 - 6 = -4*m. Determine n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 138*w + 141 = 0. Calculate w.\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -4*y + 7*y + 99 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*k = -0*m, 0 = -m + k. Suppose 13 = l + 3*x, m = 2*x - 2 - 2. Suppose -l*g = 13 - 76. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23\/4, -12, -56, -0.3, -3\/8 in descending order.\nAnswer: 23\/4, -0.3, -3\/8, -12, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14342*a - 14342*a - 121*a**2 + (2*a - 4*a + 0*a)*(a + 0 + 0) - 4*a - 2*a**2 + 4*a)*(a + 0*a - 3*a).\nAnswer: 250*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 13 = 2*w, -2*w - 73*q = -72*q - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36285991 * -3.\nAnswer: 108857973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544592186?\nAnswer: 2, 272296093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540434.9 months in centuries?\nAnswer: 1283.69575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53 + 30570.83\nAnswer: 30517.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06648 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 11) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zffzggggzzz. What is prob of picking 1 z and 3 g?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + -1*(sqrt(128) - (sqrt(128) - (sqrt(128) + sqrt(128) + 0))))) + 4 + 4)**2.\nAnswer: 256*sqrt(2) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1384562 divided by -2.\nAnswer: 692281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 9*n**2 + 12*n + 1. Let m(f) = -f**3 - 10*f**2 + 13*f + 2. Let y = 5 + -2. Let v(j) = y*m(j) - 4*d(j). What are the prime factors of v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 442332 + -2023?\nAnswer: 440304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(1\/11)\/(p**(2\/9)\/(p\/p**(-4))) assuming p is positive.\nAnswer: p**(491\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -9 + -2 + (24 - 17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -149683, -299366, -449049, -598732?\n\"Answer: -149683*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*q - 88*q - 2*p - 9213 = 0, -q + p + 9208 = 0. List the prime factors of q.\nAnswer: 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Suppose -333 = 4*m + 527. Let d = m - -219. Solve -d*l + 3*x = 16, -x = l + c + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54008 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: Solve 0 = 2*p - 8313*b + 8318*b + 107, p - 4*b - 83 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let r(z) = -z - 5. Let i be 5 - 1\/1 - -1. Let b(g) = 0 - g - i - 1. Let h(x) = 5*b(x) - 6*r(x). Determine h(m(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1117, 1122, 1129, 1138, 1149, 1162?\nAnswer: 1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 - 52*p + 53. Let m be v(25). Which is the closest to 8? (a) 1\/2 (b) m (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 4. Let x be (-1)\/(2*y\/(-8)). Suppose -6 = -2*j + x. Solve -j*v - p - 5 = 4*p, 29 = -5*v + p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 0. Let f = n - -0.29. What is the third smallest value in -2\/7, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 + 2*k + 1. Let s be 6\/(-5)*(-20)\/6. Let r(c) = -2 + 6 + 7*c - s*c - 4*c. Let t be r(6). What is p(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 34*j = -1140. What is the tens digit of (j\/(-285))\/(2\/(-3370))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 700450533?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/5)\/((-2)\/(-16)). Let t = n + 20. Let a(y) = 10*y**2 - 2*y - 2. Let g be a(-2). What is the highest common factor of t and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-1)))**(1\/9)*(z*z**(-1\/2)\/z*z)**(15\/7))\/(z**(-8)\/z*z**(-2\/13))**0 assuming z is positive.\nAnswer: z**(121\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*a - 12972 = 900*a + 8685*a - 137740 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k**2*t*z + 52*k**2*z**2 - 4*k*t*z - 2*k*z**2 + 4*t*z - z**2 - 9*z wrt k?\nAnswer: 20*t*z + 104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2079\/(-63))\/33)\/(2\/68).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -0.2, 3\/923, -5, -2.8, 2\/7, 2\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1849, 4013, 6433, 9103, 12017, 15169, 18553?\nAnswer: 22163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b9 (base 13) in base 16?\nAnswer: -48e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20827058\/3 - 2\/3*b**2 + 12908\/3*b = 0. Calculate b.\nAnswer: 3227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19675 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64234 by 64234.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-168)\/(-56) + 101\/2. Let x = -53 + z. Factor 0 + x*f**2 - 1\/2*f**4 + 0*f + 0*f**3.\nAnswer: -f**2*(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 205 - 1424 = -4*j, 5*j + 5*h - 1525 = 0. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/76, 0.4, 22, 0.2, 0.1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 22*w + 363 = -23*w, -2*b - w = -87. Calculate the highest common factor of b and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -99dbd0 (base 14) to base 8.\nAnswer: -23733352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c2a - -1970?\nAnswer: -29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 21*z**2 + 2*z - 4. Let v be t(5). Suppose 0 = -4*w - a + v, -a - 528 = -4*w - 5*a. List the prime factors of w.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 11:41 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4266)\/19908 + 339\/1974?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 2 - (-14 + 13 - (1 + -8))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 3*s**2 + 2*s + 4. What is w(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g + 3*f, 3*g - 935*f + 937*f = 18. Suppose 0 = c + 4*c - 5*k - 65, 4*c = -3*k + 31. Solve a + 22 = -4*u + g, -c = 2*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10851*s**2 + 131*s**3 - 10851*s**2.\nAnswer: 131*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 830.8 to the nearest ten.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from {y: 5, u: 11}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 184 - l - 2*l - 57 - 2*l**3 in the form i*l + v + d*l**3 + a*l**2 and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -17. Suppose -1 = -4*k + 15. Let t(n) = n**2 - k*n - i*n - 1 + 5*n. Determine t(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.098 and 6.427.\nAnswer: -0.629846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0*m - 75. Suppose -9 = -12*b + 9*b. Suppose 228 = b*g + 6. What is the remainder when g is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/8)\/(7752\/816).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15014 by -29.\nAnswer: 15014\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -529 + 540. Solve 28 = -3*s - y*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01075655 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14607\/38 + -384. Let h = 514 + -232. What is the common denominator of v and h\/66*(-1 + 0)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.803 + -25.238. What is d rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33 from 0.0454577161.\nAnswer: -32.9545422839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 5 + (sqrt(3) + -1)**2 - (sqrt(48) + 1)**2.\nAnswer: -40 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 133, 421, 1193, 2689, 5149?\n\"Answer: 40*b**3 + 2*b**2 + 2*b + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/3714 and -43\/4?\nAnswer: 7428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1574397607 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126159 + 571430 + 849323 = -21291*u - 1494527 for u.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 3*x. Let r be u(5). Suppose 5*z - 5 + r = 0. Let s(m) = -3*m - 1. Determine s(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 6*p**2 - 50*p + 110. Calculate n(8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-1 + sqrt(2)) + sqrt(2))**2 + (sqrt(242) - (sqrt(242) + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 622 - 519. Calculate the remainder when r is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -13\/141?\nAnswer: -13\/141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 25*r**2 - 5*r - 23. Let j be z(-25). What is the highest common factor of j and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.328074349 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, t: 7, k: 6}. What is prob of sequence hktk?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -48. Let y = f - -19. Let n = 0.1 - 0. Which is the closest to n? (a) 2 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167469700 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0024\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 79477.92mg?\nAnswer: 0.07947792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 820, 6, -6, 1 in ascending order.\nAnswer: -6, -4, 1, 2, 6, 820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 10 = -6*t, 4*i - 3*t - 294 = 0. Calculate the remainder when i is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 23 (b) -6 (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 > -164644\/4249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 68 + 12. Suppose -j = -b + 40. Calculate the greatest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.085 + -36.0242847.\nAnswer: -35.9392847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from nyvydnvvdyydynvvydv.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29561.15l to millilitres.\nAnswer: 29561150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114837, 114845, 114859, 114879, 114905, 114937?\nAnswer: 114975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 918\/405*15 - (-408)\/(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 24 = -4*n + 12, 5*n - 636 + 262 = 101*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-12 + (-8 - -9 - (0 + -7)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 23. Let z = a - -33. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 459.8?\nAnswer: 18.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/59359966 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 1:47 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53503007 to two dps.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 176830 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -895, -2098, -3303, -4510?\nAnswer: -5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -177.46 + 2.46. Let g = s + 187.9. Round g to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence of when two letters picked without replacement from oooffooo.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 909 + -887. Suppose -3*z + 60 = -6*z. Calculate the smallest common multiple of a and z\/(-1 + (0 - 0)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98.26 - -24.76. What is a rounded to the nearest integer?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 474674?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 313a3 - 17?\nAnswer: 31387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252 - i**3 - 36*i + 36*i - 1252.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = b + 234. Calculate the least common multiple of b and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 17 - 27. Suppose 0 = -i - 4*c - 10, -s*c - 10 = -i + 4*i. What is the tens digit of ((-23)\/(-23))\/(i\/(-266))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (3 - -3))*(-20)\/(-90)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 258391482 to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-8)*x**(2\/49)*x assuming x is positive.\nAnswer: x**(-341\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.03684952, -5 in increasing order.\nAnswer: -5, -4, -0.03684952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*i - 30 = 0, -5*c + 25 = 5*i - 0*i. Find the third derivative of 14*t**4 - 2*t**2 + c*t**4 + 6*t**2 + 5*t**4 wrt t.\nAnswer: 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1542 and 3406792?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*n + 290 + 415, 0 = 3*n - 6. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**3*u**2 - 16975976*s**3*u - 1852*s**2*u**2 + 2*s**2*u + 3*s**2 + 5*s*u**2 - 160*s wrt s?\nAnswer: -6*u**2 - 101855856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*u - 10 = 0, 3*r - 4*u = 4*r - 2. Let y(o) be the second derivative of 0 - 1\/12*o**4 + 2*o - 1\/3*o**3 - 1\/2*o**r. Factor y(l).\nAnswer: -(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 3*c**2 - c + 2. Let k be g(2). Suppose k*h = 25 - 17. Let m be (-6)\/1 + -23 + 32. Which is bigger: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31980, -64004, -96038, -128088, -160160, -192260, -224394, -256568?\n\"Answer: -q**3 + q**2 - 32020*q + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9207\/1314520 + -1\/4456. Let t = s - -572\/2655. Let m = -70 + 67. Which is the closest to t? (a) -1 (b) 5\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6609288, -13218570, -19827852?\nAnswer: -26437134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -0.3, -1, 21\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/9 + 8*r**4\/3 + 40*r**3\/9 - 4*r**2\/9 - 14*r\/3 - 20\/9 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23518?\nAnswer: 2, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11083 divided by 116\nAnswer: -11083\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*q**2 - 2 - 2*q**4 + q**4 - 811*q + 16*q**2 + 815*q to c*q**2 + u*q**3 + r + k*q**4 + f*q and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10573 times 11.0261\nAnswer: 116578.9553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/20 and -19\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + u = 5*u - 9, u = 4*r + 21. Let j(g) = -1. Let v(y) = -y**3 - 5*y**2 - 5. Let x(z) = 3*j(z) - v(z). Give x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.13 + -1.13. Let b = -2 - i. Let f = 1.0000009 + b. Round f to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 22 + 67 = 0. List the prime factors of (d\/4)\/((-2)\/(-24)*-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 24 = 10*i. Which is the third smallest value? (a) -10 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -20*m**3 - 35*m**2 + 24*m + 10. Let a(p) = -7*p**3 - 12*p**2 + 8*p + 3. Let k(w) = -17*a(w) + 6*g(w). Determine k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**2 + 22780*a - 22778*a - 78 - a**3 + 19. Give c(16).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/9 (b) 3.001 (c) 1\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 3*g - 35. Suppose 4*i - 4 - 26 = -f, 0 = -f - 5*i + 33. Suppose a - g = f. Calculate the remainder when 44 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-4\/3)*s**(-3\/26) assuming s is positive.\nAnswer: s**(173\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -58*f**2. Let o(p) = 7*p**2 + 23*p. Give o(h(g)).\nAnswer: 23548*g**4 - 1334*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29\/70 + 3\/35. What is the closest to -2\/5 in -1\/5, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 5*l = 165. Let z(i) = 7*i**2 - 11*i + 11. Let b(x) = 4*x**2 - 6*x + 6. Determine l*b(j) + 6*z(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846913616 to the power of 1\/2, to the nearest integer?\nAnswer: 76465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85 - 133 - 22*u - 24*u**3 + 6*u**2 + 21 - 33 + 21*u wrt u?\nAnswer: -144*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -85 - 22*o + 2 + 34*o - 13*o. Calculate z(0).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/920 - 14461\/3147320. Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 113*u - 58*u - 57*u - 27*u.\nAnswer: -u**2 - 29*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6267.07 + -5994. Let w = x - 273. Sort 4, 0.3, w in ascending order.\nAnswer: w, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -132, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 5. Let v(m) = -6*m + 4. Calculate -3*t(j) + 2*v(j).\nAnswer: 3*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 133a46 (base 13) in base 11?\nAnswer: 298664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5696 and 178.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-114)\/(-22) - (-18)\/(-99). Let p(b) = b**2 - 6*b + 5. Let x be p(q). Suppose -2*s = -x*s - 8. Calculate the highest common factor of s and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1066, 2125, 3184?\n\"Answer: 1059*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*c - 36. Suppose 2*o - 3*o = 3*w - 184, -c = -2*w. Suppose -3 = -3*d - 0, 171 = 5*n - 4*d. Calculate the highest common factor of o and n.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008729009 to 5 decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 430736637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:05 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-16)\/(-5))*(-28)\/(7280\/(-4875))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*n = -420*n + 2*f + 57, -4*f = 5*n - 81 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2624719955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/5 - 16\/20. Suppose 2*y - 6 = -c + 6*y, -r = -2*c - y. Suppose -4*f + 894 = c*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58373\/(-651))\/(-269)*(-2)\/(-29).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r**3 + r**4 - 3 + 1 - r**2 + 1 + 0 to g*r**4 + k*r**3 + w*r**2 + x + c*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 70611*z - 282453. Calculate o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182 + 72. Let x = -110.4 - z. Which is the smallest value? (a) -0.05 (b) 5 (c) -1\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*m*n**2*z + 23*j*m*n*z - 2*j*m*z - j*m + 78*j*n + 9313*j*z wrt n.\nAnswer: 6*j*m*n*z + 23*j*m*z + 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 572\/(-26) + -2 + 10 - -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l - 4. Let h be w(-9). Suppose u - h*s + s - 11 = 0, s - 76 = -5*u. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101755 divided by 20351\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let y(s) be the first derivative of 0*s**2 + 2\/3*s**3 - 1 + 0*s. Determine y(j(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/7 (b) -2\/3 (c) 16\/11 (d) -5 (e) -2\/177 (f) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -144 and -2315.33.\nAnswer: 333407.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 100 = -5*h, -5*h + 2*d = -160 + 40. Calculate the remainder when 55 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - c - 4 = 0, 2*c + 2 + 6 = 3*n. Let l(t) be the second derivative of -t**4\/12 - t**3\/6 + t**2 - t. List the prime factors of l(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w**2 - 2*w)*(129 - 7 + 76).\nAnswer: -198*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0, 13, -1 in descending order.\nAnswer: 13, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*u**2 + 5094*u**2 - 2557*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -147456\/7*f - 3648\/7*f**3 + 3\/7*f**5 - 24576 - 5376*f**2 - 90\/7*f**4 = 0. What is f?\nAnswer: -8, -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 40 + 10 = 0. What is the remainder when 17 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/10 + (-2)\/(-5). Suppose 0 = -y*f - f - 2*m - 4, 2*m + 10 = 0. Differentiate 2 + 2 - f*k**3 - 5 wrt k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*f = 2*f - 49, -f = 2*a - 41. Let c be 1\/(-3 - 280\/(-92)). Are c and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 8*y + 11. Let g be m(7). Suppose -4*v + 1128 = 5*p + g, -2*p + 2*v = -446. Calculate the highest common factor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2 - 11 + 2*j to c*j + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*t - 112*t - 3 = 0. Let h(z) = -z**2 + 7*z - 9. Let w be h(7). Let j(v) = -v**3 - 11*v**2 - 20*v - 18. Let c be j(w). Solve t*n = -c*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520433.\nAnswer: 520433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 - -72. Let d = 0.11 + -1.31. Let q = -1 - d. Which is the nearest to 2? (a) -0.5 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-525)\/(-140)*4\/(-10)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24418 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 + 10*c - 15 - c**2 + (2*c - 5*c + 2*c)*(c + 0*c - 2*c) - 95*c + 15*c**2 + 95*c.\nAnswer: 15*c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w - 111*w - 49481*w**3 + 34*w + 41*w + 49466*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, b: 10, u: 4}. Give prob of picking 2 k and 2 u.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 9 = m + 28, -4*m = -4. Suppose -g*h = -2*b + b + 16, 4*h = -12. Let t = b - -5. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v + 17. Let k(j) = 5*j + 55. Determine 10*d(z) - 3*k(z).\nAnswer: 5*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 41 = -36 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 - 574 = 12*j - 278, 4*y + 4*j = -84 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 15\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 162*o + 0*o**2 - 6 + 5*o**2 - o**3 - 330*o - 1 + 172*o. Let f be l(5). What is the highest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:09 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/(-105))\/(5 + 678\/(-135)). Solve 0 = -3*f + 9*f + z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81549 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5 - 8405*u**4 - 58465*u**3 + 209585*u**2 + 560970*u + 301320 = 0 for u.\nAnswer: -1674, -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233162 + -362?\nAnswer: 232500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1222452 and 247401.\nAnswer: 20781684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**5 + t**5 + 4*t**5)*(0 + 2 + 1) + (-3*t**2 - 7*t**2 + 0*t**2)*(42*t**3 + 108*t**3 + 19*t**3).\nAnswer: -1687*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338027\/20 - -16907. Let u = -6303 + 37903\/6. Calculate the common denominator of w and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**4 - 755*d**3 + 13215*d**2 - 24145*d + 11690 = 0?\nAnswer: -167, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001304 rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130311 + 31132?\nAnswer: 222103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8872.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**4 + 384*q**3 + 1128*q**2 + 1120*q + 372 = 0.\nAnswer: -93, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 11567 (c) -0.089\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13923 + -13918. Solve 3*s + 2 = -4, -a - k*s - 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2209323 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeze when four letters picked without replacement from {x: 7, z: 2, q: 2, d: 1, e: 4}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277416706 by -434.\nAnswer: -639209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -538*w + 64. Let b be i(-2). Let j be -2*(1 - -2) + b\/35. Is j greater than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = b - 156, -6*b + 10*b = 2*w - 80. Calculate the greatest common divisor of 356 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -44. Suppose 0 = -2*l + 3*x - 44, 5*l + n = -0*l - 2*x. Is l\/(-4) + 254 + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 23. Let l = -11 + p. Let t = 13 + l. Put 0.1, t, 1\/9, 0.5 in descending order.\nAnswer: t, 0.5, 1\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002 + 12210100221?\nAnswer: 12210020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 737936.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.7, 0.2, 5, -0.4 in decreasing order.\nAnswer: 28.7, 5, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fmoo when four letters picked without replacement from {f: 3, o: 4, q: 1, t: 4, m: 1}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v - 35*v + 795 = 25*v + 17*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/60*162\/104 - 4.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 21 = k + 4*s, 3*k - 11 = 2*s. Let o(y) = 253*y. Is o(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) - 3*1*sqrt(192))*-2)**2 + (sqrt(192) + -2 + (sqrt(192) + 0)**2)*5.\nAnswer: 40*sqrt(3) + 4022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3))**(-48))**(-1\/47)*(a**(-1))**(-2\/25)\/(a**(2\/5))**(-11\/8) assuming a is positive.\nAnswer: a**(10961\/4700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (264 + -269)\/(2\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*v + 844 - 45*v - 844 to the form g*v + p and give g.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + 2.99. Let m = 0 - y. Let i = 0.404 + 0.096. Which is the biggest value? (a) m (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19\/120 + 8\/15. Let d = -0.9 + 1.3. Let n = d - 4.4. Which is the second biggest value? (a) o (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*((c\/c**(1\/3))\/c)\/c)\/(c\/(c*c**(1\/2))))**(-2\/61)*(c**0*c)\/c*(c*c**3)\/c*c*c**4*c**(-2) assuming c is positive.\nAnswer: c**(1091\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 3, 3*m - 203 = -2*o - 212 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/14)\/(4 - 2). Let m = 148 + -232. Let v be 14\/77 - m\/22. Sort v, n, -0.2.\nAnswer: -0.2, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f**5 - 5*f**3 + 14*f - 3 wrt f?\nAnswer: -120*f**3 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119916, -239839, -359762, -479685?\nAnswer: -599608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9699445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15580 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqjqttqj. Give prob of picking 1 q and 1 j.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13994 divided by -2\nAnswer: -6997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 44. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**3 + 125*a + 2*a**3 - 59*a - 66*a.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 14*h - 67. Suppose 50*n = 12*n - 43*n - 648. What is q(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 114 = 2*u, 2*g = -g - 5*u + 340. Let r = -6163 + 6177. What is the remainder when g is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31390726421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -275146?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*a = -67*a - 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 1. Suppose 0 = -q*b + z, b + 2*b = 5*z. Let f be (-12)\/(-16) - (-1)\/4. Solve 4*j + 20 = b, 0 = -2*i - 2*j + f - 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/238 - (-1930)\/7. Suppose 11*n - j = 9*n. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 2, 3, -8, 15942.\nAnswer: -8, 0, 1, 2, 3, 15942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3206062 + 13?\nAnswer: 3206075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbabyraysgrryg. Give prob of picking 1 g, 1 b, and 1 a.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97426 divided by -3.\nAnswer: -97426\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 13 = -9*r. Let y(d) = 4*d**2 - d - 3. Calculate the remainder when y(3) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 172441851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -u + 10 - 3, 0 = 5*u - 5. Suppose t = -0*t - 2*g - 2, -g = -4*t + 19. What is the first derivative of -11*v - r + 7*v - t wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.77 and 37594662.3072?\nAnswer: 37594661.5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -7802 and 18.\nAnswer: -7784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -1\/4*n**4 + 2*n**3 + n**2 + 8 + 7*n. Does 6 divide t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 - -16)*(15 - 14). What is the smallest value in -3, 3, 0.5, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 6:14 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z + z + 5*z)*(2 - 3 + 2)*(-1 + 2*z + 1)*(10 + 2 + 11) to the form v*z**2 + d*z + n and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 317342 >= 317341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/37201073 and -27\/2861621?\nAnswer: 37201073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 3, n: 2, g: 1}. Give prob of picking 1 r and 1 t.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114422012 + 0?\nAnswer: 114422012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 8*z**2 - 4*z + 11. Let b be s(-8). Let q = 302 - b. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 88 = -3*b + 6*b, 4*n = -4. Solve 0 = 4*j - 3*i + 5*i - b, 35 = 4*j + 3*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 + 4 = 0. Find the third derivative of 2*n**2 + n**2 + 7*n**x - 11*n**3 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1125*a + 2315. What is the remainder when u(-2) is divided by 49?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1394 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 tytutgyuuuhthyphy. What is prob of sequence hgyu?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -314.2, -5.9, -2\/5?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -0.3 (c) 1 (d) -1 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0604985 kilometers to meters.\nAnswer: 60.4985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 3b0?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4531164, 4531222, 4531282, 4531344, 4531408?\n\"Answer: d**2 + 55*d + 4531108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*1\/(-12)*3. Suppose i + 3*y + t = -0, -4*i + 44 = -y. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c + 20577 = 49*c. Does 57 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 109*s - 33. What is v(6)?\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 8*b**2 - 6*b - 5. Suppose 5*h - 44 + 9 = 0. Let c be x(h). Suppose -4 = s - c. Sort s, 4, 2.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -29*u - 3. Let z(g) = 358*g. Calculate z(v(k)).\nAnswer: -10382*k - 1074","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.5 (c) -25211 (d) -7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 213*o**3 - 211*o**3 - 5*o**2 + 2 to the form p + c*o**2 + k*o**3 + s*o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 2 + 2)*(7 - 12 - 6) - i**2 + 2*i**3 + i**2 - 3*i**3 + i - i - 2*i**3 + i - i + (-2*i + 1 - 1)*(2*i**2 - i + i) + i**3 - 3*i**3 + 3*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 49 = 9*v, -205*v = -204*v + 6*c + 19 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 12) + (-357)\/(-35).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2325 or 2328?\nAnswer: 2325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/(-8)*-4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**9*n))**(-2\/27)\/(n\/(n\/(n**(1\/3)\/n))*n**0*n))**(-22) assuming n is positive.\nAnswer: n**(-242\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 94*u. Let w be x(1). Suppose -2*l + w = -2*m, 0*l + 3*m + 243 = 5*l. Suppose -2*q = -3*q + l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 1)*(m + 5*m - 5*m) + 4*m - 3*m + 0*m - 3*m + 3*m - 7*m in the form g + u*m and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 3*w**2 + 4*w + 3. Let z be g(-2). Suppose -12 = -2*y + 4*k, -2*y + k + 5 = 2. Sort z, 31, -2, y in descending order.\nAnswer: 31, y, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68632*m + 68636*m + 68679*m - 205946*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -1\/2 (b) 87 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -967, -3, 4, -4 in descending order.\nAnswer: 4, 2, -1, -3, -4, -967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let x be (4\/(-6))\/2*-9. Let v be -2 + 3 + -3 + 1. Let b be 6\/x*-1 + v. Determine z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-11 + 10 + 7783). What is o rounded to the nearest one hundred?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (4 - (5 + -21))) + 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -11\/3*k**3 - 9\/2*k**2 - 1\/4*k**4 + 10 + 10*k. Let b be d(-10). What is the closest to 3 in 2\/5, -1\/5, b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from idjtiwiiiw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 242569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2231 (base 5) to base 16.\nAnswer: -13c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 705160 and 862376?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 175 = 0. Does 29 divide (n\/(-10))\/(1\/(-58))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8.05. Suppose 4*c - 10 = -2*t, -t = 2*c + 2*t - 15. Let n = 0.104 - 0.104. What is the closest to c in h, -3\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12)*162\/(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*z + 2 + 9, 0 = 3*z + 4*a - 29. Sort -4, 40, z.\nAnswer: -4, z, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 9*w + 2. Let g be a(-8). Let s = 10 + g. What is the second derivative of -2*b + 6*b**2 - 2*b**2 + b**3 - s*b**2 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 + 103.7. Which is the third biggest value? (a) z (b) 5 (c) -2 (d) 235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 31353973?\nAnswer: 188123838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660869 divided by -20?\nAnswer: -660869\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 811.62195 to one decimal place.\nAnswer: 811.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*w - 4*s + 30, 13892 - 13947 = -3*w - 2*s - 3*s for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 14*b**2 - 234*b - 4*b**2.\nAnswer: 10*b**2 - 234*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (1*-1 - -2). Let l(t) = -2*t**3 - 2*t**2 - t + 3. Let q(d) = 7*d**3 + 3*d**2 + d - 17. Let m(z) = 4*l(z) + q(z). Give m(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 12*z**2 - 53*z + 351. What is p(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - (-69 - (30 + -110)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 590208, 3 in descending order.\nAnswer: 590208, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 103, -3, 3915 in decreasing order.\nAnswer: 3915, 103, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 816496925*z**3 - 12*z**2 - 100927*z + 24.\nAnswer: 4898981550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w + 4*w - 9*w + 12*w + w**3 + 8*w**2.\nAnswer: w*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174281124.\nAnswer: 2, 3, 863, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + 2.2. Let n = 0.07 + 0.33. Let o = 1.4 + -0.4. What is the nearest to o in -0.3, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3145 (base 14) in base 9?\nAnswer: -12572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(-19))\/((-2)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 9:16 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*p + 7*p + 6*p)*(1 + 56 + 20) + 0 + 0 - 2*p + (4 - 2 + 0)*(-p + 0*p + 3*p).\nAnswer: 2235*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 565 + -1. Let g = s - 564.00861. Round g to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3450 and 125166.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6622, -6628, -6630, -6622, -6598, -6552?\nAnswer: -6478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*(sqrt(156)*-2 - sqrt(156)))\/(sqrt(1200) - sqrt(1200)*-3))**2.\nAnswer: 117\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13158275*c**4 - 12578475*c wrt c?\nAnswer: 157899300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) + 160\/(-70). Let z be 32 + 0 + (12 - 10). Which is the biggest value? (a) -1\/6 (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57323 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -511*a + 1. Let t be p(-1). Suppose 0 = 5*r - 7*r + t. Suppose 94 = 2*x - 3*k - 433, x = -k + r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -553, -2194, -4929, -8758, -13681, -19698, -26809?\n\"Answer: -547*x**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sosiugsiiurgsr. What is prob of sequence so?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 626674120 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 9*y**2 + 10*y + 3. Let r be x(10). Suppose 3*p + 3*b + 18 + 3 = 0, r*p + 4*b = -23. Let f(z) = -z**2 - 2*z + 5. Calculate f(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/9)\/(-8)*(-10)\/300*5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x - 4*j + 11 = 0, -4*j = 2*x - 26. Let f(c) = 5*c**2 + 4*c - 4. Let y be f(-4). Calculate the highest common divisor of x and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429312403 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 4*f**2 - 2*f - 3. What is g(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52678, 52990, 53302, 53614, 53926, 54238?\n\"Answer: 312*p + 52366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and (-6)\/(3*88\/(-102)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855088026 a multiple of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2042*y**2 + 2259*y**2 - 2*y + 2*y as i + h*y**2 + t*y and give h.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -3*t - 4. Let d = 65 - 87. Let p = d - t. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136232 + -36?\nAnswer: -136268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*n + 12*n. Let t(k) = k**3 + 8*k**2 + 8*k + 10. Let x be t(n). Solve -2*u - 14 = 5*f - 10*f, -x*u - 3*f = -21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331973107729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 10 = 3*c, -3*c + 4 = -g. Let r = 2 - g. Let z be (-2 + r)\/((-4)\/(-8)). Is -2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 6*b**3. Let z(m) = -3*m**3. Determine 6*r(i) + 13*z(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.565689821 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7\/6)*g\/((g\/g**8)\/g*g))**(-5))**(-2\/3) assuming g is positive.\nAnswer: g**(205\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 1. Suppose -75 = -3*d - r*d. Let b = d - 8. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.66 (b) 5\/41 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 8. Suppose 2*z + 3*z - 50 = 5*u, -2*z - 5*u - 8 = 0. Let j(s) = -1. Calculate z*j(l) - w(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -275.780136 to the nearest integer.\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13097304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -430\nAnswer: 6\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-16)\/1)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19149593?\nAnswer: 23, 832591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 53*h - 5. Let v be j(1). Suppose v*r = 51*r + 3. Which is smaller: 5\/14 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6561956688 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 588, 725, 878, 1047?\n\"Answer: 8*h**2 + 113*h + 467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*u + 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-1))\/6)\/(15\/(-180))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(825) - (sqrt(825) + 2*sqrt(825))))\/(sqrt(36)\/(2*1*sqrt(12)))*6.\nAnswer: 600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 3*j**2 - 3. Let z be (-88)\/(-16)*4\/11*1. Suppose 2*p = -4*s - 5 + 13, 0 = -z*s - 2. Let i(d) = 2*d**2 - 2. Determine p*i(b) - 4*f(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2377 is divided by 1148?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 36 = 21*y - 18*y, 68 = 4*h + y. Let j(z) = -8*z**3 + 2*z - 1. Calculate the remainder when j(-2) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 + 554*l + 1100 = 0. What is l?\nAnswer: -275, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p - 5*x, 5*p + 15 + 5 = -4*x. Let l(r) = 2*r**3 + 4*r**2 + 2*r - 6. Let q(w) = -w**3 - w**2 - w + 1. Give p*q(c) - l(c).\nAnswer: 2*c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*m - 5*w, 0 = 784*m - 799*m + 3*w + 63 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -11*v**2 + 2*v - 1\/6*v**3 - 169. What is t(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 246\/(-12))*(-4)\/6. Let p(b) = b**2 - 13*b + 26. Let l be p(x). Solve -10 = 3*h - o, 2*h + 3*h - l*o + 26 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 42\/6 + (-4)\/4. Let c(u) be the second derivative of u + 0*u**2 + 2\/3*u**3 + 0 - 1\/12*u**s. What is the second derivative of c(o) wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 21*u - 54 = 0. What is u?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2223 + 20203?\nAnswer: 23032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 25) + (4 - (8 - (-3 - -9))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let a(n) be the third derivative of -7*n**6\/120 - n**4\/24 - n**3\/6 - 9*n**2 - 6. Give a(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6204316021?\nAnswer: 41, 131, 1155151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 403, 4\/51, -317, 7 in ascending order.\nAnswer: -317, 4\/51, 7, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/14 (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 - 0) + -4 - 2. Suppose -5*m + x*f = -140, -4*m = 4*f - 2*f - 138. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 - 374. Let a = h - -360. Suppose 2*n - a = -3*n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/357 - 2\/(-7) - 57*18\/17442?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v - 22 = 5*g, 4*g = 16. Let u(x) be the second derivative of -x**5\/4 + x**3\/6 + x**2 - 2*x. What is the remainder when u(-2) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 5:17 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**6\/30 - 6*n**5\/25 + 11*n**4\/20 - 2*n**3\/15 - 6*n**2\/5 + 8*n\/5 + 13. Factor u(b).\nAnswer: (b - 2)**3*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 848 (base 15) to base 3\nAnswer: 2120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let b(z) be the second derivative of z**4\/4 + 49*z**2\/2 - 5*z. Determine s(b(r)).\nAnswer: -6*r**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.33203 kilometers in meters?\nAnswer: 21332.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*x + 2*x - 4*y, -y + 4*y = -24*x + 9*y + 78 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:43 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 11. Suppose 0 = -3*x + 4*d - 10, -g*x - 1 + 11 = d. Suppose -3*v - x*y + 75 + 19 = 0, 89 = 3*v + y. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-67)\/(-9))\/(292\/12). Let f = h - -2\/73. What is the nearest to -2\/3 in f, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369.9 - -386. Let k = -21 + l. Let h = -0.1 + k. Which is smaller: 0.1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 92. Let c be b\/56 - (-40)\/14. Let x(i) = -8*i - 3. Let q(y) = y + 1. Calculate c*q(z) + x(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -1, 2, 6\/11, -5?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5135 = -4*r + 30989. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517319118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4\/3)*k))**(-32) assuming k is positive.\nAnswer: k**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 940481196 - 940481192.00000007. Let w = x + -4. What is w rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 92.53529 centuries?\nAnswer: 9253.529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Which is the biggest value? (a) -1 (b) -1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggccgogggggogogggg. Give prob of picking 1 o and 1 g.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12820 is divided by 3203.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -15*v + 10*v. Let d be v*(3 - 36\/10). What is the remainder when d\/2 - 1554\/(-28) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15715612752 to 6 dps.\nAnswer: 0.157156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 154\/56 - (-3)\/(-4). Solve -1 = j*u - 3*b + 1, -u + b - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13386, -13256, -12908, -12234, -11126, -9476, -7176?\n\"Answer: 18*h**3 + h**2 + h - 13406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-1 - 42)) + -51.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 585811 at most 585809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-6*2*sqrt(102))\/(sqrt(54)\/(2*sqrt(9))))**2.\nAnswer: -9793 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -22.1. Let x = -4 + 7. Let j = x + v. Is j >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 5*t - 4*t + (-3 + 3 + 15*t)*(2 + 1 - 4).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 10. Let s be (191 + 1)\/y + 3. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1698, 1699, 1700, 1701?\n\"Answer: p + 1697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 275?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -1 - (113 + -88 - 32).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 108814?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*c - 16, 15*x - 13*x - c = -10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 964568 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -8. Suppose 3*a - 4 = -1. Calculate the remainder when 0\/2 + a + 18 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 475\/110 + (-4)\/(-22) and -131\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 172 + 2 = 0. Let f = -27 + s. Suppose 223 = f*n + 3*n + x, -2*n + 98 = -4*x. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 86, 52, 0, 1, -0.219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 8*r**3\/5 + 6*r**2\/5.\nAnswer: 2*r**2*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1016)\/(-20)*(-57)\/132. Let a = x + 315\/11. Calculate the common denominator of -107\/50 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3831525089 from 0.086.\nAnswer: 3831525089.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 332298915 a multiple of 4826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 886936, 886683, 886262, 885673, 884916, 883991, 882898?\n\"Answer: -84*b**2 - b + 887021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, a: 1, m: 5, s: 1, z: 1, l: 4}. What is prob of sequence ls?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 2*sqrt(1573) + sqrt(1573)))**2.\nAnswer: -4950*sqrt(13) + 354150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/5 + 4258*r**2\/5 + 1106556*r\/5 = 0 for r.\nAnswer: -1826, -303, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, n: 1}. Give prob of sequence ng.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/176)\/(4\/(-44)). Solve 2*u = -2*r + 6, -s*u - 4*r + 22 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 4) + (31 - 21 - 118).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1077 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 36 = 5*n + 4*m, 0 = 3*n + 2*m - 27. Let i = n + 1. Which is smaller: i or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -48297247*w**2. Let s(r) = 15*r. Calculate s(b(t)).\nAnswer: -724458705*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/4 - 9*d**3 + 97*d**2\/4 + 855*d\/2 + 682 = 0?\nAnswer: -4, -2, 11, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*p + 144, -2*p - 33 = -r + 2*p. Calculate the smallest common multiple of 12 and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 0. Let x = z - -14. Calculate the greatest common divisor of x and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/2071523 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*u - 18 = z, 5*z - 3*u + 25 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 o, and 1 q when three letters picked without replacement from {c: 1, q: 4, s: 4, o: 2, p: 4, n: 5}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 3*s, -s = 5*c - 3 - 28. Let u(i) = -2 + 19*i + s + 27*i. Let g be u(-2). Round g to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 34 = 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 7) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/(-8)*(-2 - -12). Let i(m) = 5*m + 27. Let j be i(f). Solve 0 = -j*c - 2 - 6 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22202120122202 (base 3) in base 13?\nAnswer: c706b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 9*z + 3. Let i be b(-9). Suppose 15 = -i*s, -q - 3*s + s = 8. Solve q*c = -2*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(5129*w + 4471*w + 1037*w - 1394*w).\nAnswer: -18486*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from zkzzkkk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqtqjqtvtvvqtrtt. Give prob of sequence jr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 11*o**2 - 21*o - 3. Give j(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:20 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -225.425598 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 8*v - 10. Let o be b(7). Let y be 0 + 1 + (1 - o). Suppose 0*z - 10 = -y*z. Solve 5 = z*s - 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10908, 10890, 10834, 10722, 10536?\n\"Answer: -3*n**3 - n**2 + 6*n + 10906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7816631 is divided by 12368.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)*j)\/j**(3\/2))**43 assuming j is positive.\nAnswer: j**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*4 - sqrt(11))**2 - (sqrt(1100))**2) + (sqrt(1100) + 3 - (1 + (sqrt(11) - sqrt(176)))).\nAnswer: 13*sqrt(11) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 + f + 1. Let z be x(-1). Suppose -4*b + 6*b = z. Solve -3*t**4 + b*t**5 - 2*t**3 - t**2 + t**5 + 5*t**3 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**2 + 24\/5*a**3 + 72\/5*a + 24\/5.\nAnswer: 6*(a - 2)**2*(4*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*w**2 + 13*w**2 - 9*w**2 + (-1 - 1 + 4)*(w**2 + 3*w**2 - 5*w**2) - 30*w**2 + 6*w**2 - w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -15*((-14 - -13) + 0). Let a(u) = -6*u. Let t be a(-5). What is the highest common factor of z and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 30 = 5*f, 2*g - 4*f = g + 7. Let a(n) = -7*n + 6. Let h = -9 + 4. Let j(w) = 11*w - 9. Let d(k) = h*j(k) - 8*a(k). Calculate d(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 44, 78, 162, 314, 552?\n\"Answer: 3*c**3 - 2*c**2 - 13*c + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1340790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 864.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkxokoooojoooo. Give prob of picking 1 o and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t**(-3))**(2\/15)\/((t**(-1))**(2\/7)\/(t\/((t\/(t\/(t**2*t)))\/t)*t\/(t*t\/t**(-2\/9)*t))) assuming t is positive.\nAnswer: t**(-967\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qooq when four letters picked without replacement from {o: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 88132 + -64?\nAnswer: 88068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111432141 + -10?\nAnswer: 111432131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 10*i - 3*i + 0*i - i - i - i - 2 + 2 + (-4 + 4 + i)*(-6 + 4 + 4) - 4*i + 1066 - 1066)*(2*i + 3 - 3) as b*i + f*i**2 + a and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -423, -659, -911, -1179, -1463, -1763?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89.59 + 9.91. Let u = t + 81. Let m = 0.07 - u. Round m to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*p**3 + 1447*i**2 + i*p**4 wrt p.\nAnswer: 3*i**2*p**2 + 4*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - c**2 - c - 2. Let t be n(-2). Suppose -7*m - 767 = 6*m. Let z = t - m. Does 23 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7 - 1.52.\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 + 38 = -p - 47 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/127)\/(i**13*i*i) assuming i is positive.\nAnswer: i**(-1903\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -5, 16, 61, 136?\n\"Answer: g**3 + 3*g**2 - 13*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j + 16. Let p(a) = 14*a + 47. Let x(y) = 4*p(y) - 11*u(y). What is the units digit of x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/38 and (-1 + 2)*(-10 - 300\/(-36)).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7949258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3745426 years to decades.\nAnswer: 0.03745426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -278*c - 487. Determine b(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18444 or 0.246?\nAnswer: 0.246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 495\/2 or -13942?\nAnswer: 495\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 165\/(-84)*4\/(-10) and (-25)\/16*(-22)\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 3*q**3 + 232*q + 222*q - 189*q - 265*q.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -5*s**6\/3 + 22*s**3\/3 - 38*s. What is the second derivative of q(l) wrt l?\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3292537 + -0.3.\nAnswer: 0.0292537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/24 and -73\/2236?\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**4\/12 - 47*d**3\/6 + 49*d**2 + 2*d. Let n be l(25). Solve -4*w - 5*y - 23 = 0, -2 = n*y + 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 11*n + 4. Let x be a(-9). Let u(j) = -2*j - 29. Let o be u(x). What are the prime factors of (-18)\/((-28)\/72 + o\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-5)\/20)\/((-88)\/(-20) - 5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + r - 2*r + (-6 + 1 + 3)*(r - 3*r + 3*r) + r - 1 + 1 + 0*r - r + 0*r + 8*r - 2*r + 3*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 11. Let u = 11 + c. Suppose 0 = -8*m + 3*m - 25. Sort -2, m, u in increasing order.\nAnswer: m, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103\/930 + 1\/93. Which is the biggest value? (a) -4 (b) -1\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -8. Calculate the least common multiple of 8 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2. Let s(v) = -13648*v + 48. What is s(n(z))?\nAnswer: 40944*z**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 8, -5*f - 104*b + 11 = -105*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 6*a + 54. Suppose 13*r + 4 = 15*r. What is the highest common divisor of a and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 11) + (12 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32328 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13338 divided by -10\nAnswer: -6669\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((4\/3 - -1) + -2)*6. Factor 2\/7*b**3 - 2\/7*b**d + 0 + 0*b.\nAnswer: 2*b**2*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61467433763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(7) + sqrt(7) + ((sqrt(21)\/(sqrt(15)\/sqrt(5)))**2 - sqrt(7)) - (-4 + 2*sqrt(7)*2)) + -4.\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/36)\/((-2)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*q**2 + 130*q**2 - 9*q + 9*q.\nAnswer: 394*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0204 + 0.1204. Which is the nearest to 2? (a) o (b) -5 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:26 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/7 - 13056072*j\/7 - 1865153 = 0. What is j?\nAnswer: -13056071, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 12 - 11) + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6*x - 5*x + 1761 = 0, 5*i = 4*x + 2935. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 446 and 371039.8.\nAnswer: 371485.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 0.021903401404.\nAnswer: 0.421903401404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -276, -312, -246, -54, 288, 804, 1518?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386953 and 0.5.\nAnswer: -193476.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-2*u + 2*u + 2*u) + (21 + 15 + 0)*(u - u - u).\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1885 and 43\/50570.\nAnswer: 1466530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivivvvvv. Give prob of sequence vi.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 20*f + 368. What is m(19)?\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-150)\/408 + (-3)\/(-12). Suppose 0 = -2*s - 3*s + 5*j - 40, 4*s = -j - 7. Let h = s + 4. What is the closest to h in 0.4, u, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98545*c**3 - c + 102526.\nAnswer: 591270*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30456 and 648?\nAnswer: 30456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -195 by -8491.\nAnswer: 195\/8491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141278567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 divided by -41?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44805144 and 28296?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 14*v**2 - 14*v - 29. Let o(a) = -32*a**2 + 28*a + 58. Let i(w) = 4*o(w) + 9*t(w). Calculate i(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8934.149us in milliseconds?\nAnswer: 8.934149","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/1 - (1590\/(-50) - -12). What is the fourth smallest value in u, 0.1, 3, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 - 0.13. Let o = i - 0.35. Let u = 160 - 156. Which is the nearest to 0.07? (a) 5 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -26. Let r = 45 + t. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303230 - 1212?\nAnswer: -1311102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 10) + 1031 + -1034.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -3*d**2 + 0*d**4 + 0*d + 0*d**5 + 1\/3*d**3 - 1\/120*d**6 + 0. Find the first derivative of n(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m + 27\/2*m**2 - 59 + 0*m**3 + 21\/4*m**4. What is the second derivative of y(j) wrt j?\nAnswer: 126*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11278 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 289, 283, 257, 205, 121, -1, -167?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -0.4 (c) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-296)\/592*4\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9189, 75189, 254695, 604461, 1181241, 2041789, 3242859, 4841205?\n\"Answer: 9459*s**3 - s**2 - 210*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 11*a + 7*a - 3.\nAnswer: 5*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:27 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -255\/23 (b) -1 (c) -1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -160 + 173. Solve -b = -w + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 20\/9 of a week?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5629*n**2 + 32262541*n + 1 - 32262541*n + 21358*n**2 - 1)*(-5 + 1 + 1).\nAnswer: -80961*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 83340 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*2 + sqrt(300))\/sqrt(6))\/(6*1*sqrt(10) + sqrt(10)) + -3.\nAnswer: -3 + 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 4*d - 24 + 2*d - 5*d. Let j be s(0). Let f = -17 - j. What is the remainder when 19 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d1 (base 14) to base 16.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 19482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + u = -90. Solve -2*y = -5*m - u, -1 = -11*m + 12*m + y for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-217))\/(26\/(-637)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - 3*x, 2*x = 4*t + 4*x. Suppose 3*b - 129 = -3*y, -3*y + 2*b = -2*b - 143. Suppose y = 5*m + 3*s, -s + 2 = m + s. Solve t*l + m = 6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020200200 + 1?\nAnswer: -2020200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, p: 4, s: 1, k: 2, t: 3, n: 2}. What is prob of sequence sutk?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r - 1. Suppose -2*u - g - 3*g - 4 = 0, -4*g = -4*u - 20. Let v(i) = 6*i**2 + 4*i - 4. Let m(p) = u*s(p) + v(p). Let l(n) = n**2. Give m(l(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/441, 1848.58, -5 in decreasing order.\nAnswer: 1848.58, -1\/441, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 35 = 3*j + 2*j, 0 = 5*l + 3*j - 35. What is the greatest common factor of l and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a - 54. What is r(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*x**3 + 112*x**2 + 7*x**4 + 142*x**2 - 13*x**4 + 5*x**4 + 0*x**4 wrt x.\nAnswer: -24*x - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {f: 1, l: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**3 - 648*u**2 + 1916*u - 1272 = 0. What is u?\nAnswer: 1, 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.92 or -1\/2?\nAnswer: 6.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/69, 1, -1\/6, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/3, 14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3065233\/1730928 - 1\/36061. Let o(j) be the second derivative of -3\/4*j**2 - 7*j + 0 - 7\/20*j**5 - 1\/24*j**3 + h*j**4. Factor o(q).\nAnswer: -(q - 3)*(4*q + 1)*(7*q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*o**2 + 35 - 68 + 17*o**2 + 33.\nAnswer: -52*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 2 - 2)*(-6 - 17 + 42) + (6*o - 2*o - 2*o)*(-6 + 1 + 4) to the form h*o + t and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 22*v + 55. Let d be y(10). What is the highest common divisor of 60 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128471208.0200297 + -128470509.02. Let s = -699 + t. Round s to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 285\/(-180) + (-2)\/(-6). Is 0 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 720 + -717. What is the third smallest value in 0, 4\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/46)\/(17\/510*15)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 + 3*k**4 - 2*k**4 + k**4 - 2 + 2*k to x + d*k**2 + h*k**4 + t*k**3 + g*k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - (-311 - -281).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -321 and -643\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 4*k + 54 = 0, -122*r + 6*k = -118*r + 2*k - 16 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 - -17. Let p = -36 - r. Which is the second biggest value? (a) 1 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 84\/5 of a microgram?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 65\/26*(-8)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 34 (c) 3 (d) -0.1 (e) -1\/5 (f) 59\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27 take away 197?\nAnswer: -196.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**4 - 3*l**3 - 20*l**2. Let d(i) = -8*i**4 - 4*i**3 - 20*i**2. Let a(f) = 4*d(f) - 5*w(f). What is the third derivative of a(s) wrt s?\nAnswer: 192*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 114?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1)*(-321)\/535?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 42?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.998 (b) -5 (c) -3 (d) -330\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 73677*h - 73677*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -30 - (-2 - (-19 + 6 + -1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((3*sqrt(105)*1 + sqrt(105))\/(sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12)))\/(sqrt(45)*-4 + 1*sqrt(5)*5))**2.\nAnswer: 20*sqrt(7)\/21 + 1579\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 51636 + -2?\nAnswer: 51634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 908341 * 36.\nAnswer: 32700276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 61423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmro when four letters picked without replacement from {o: 1, d: 1, c: 2, m: 1, x: 1, r: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {f: 2, a: 6, y: 4, g: 1, v: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3131*o - 280098 = 6209*o for o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/((-92)\/(-230)))\/(-19)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 50*i**2 + 53*i**2 + 0*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 0*x + 0*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 63.412 and -1177.\nAnswer: -1113.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**28\/x**(-1\/29)*x*x**7*x*x**(-7) assuming x is positive.\nAnswer: x**(871\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**3 - 8*q - 5*q**2 + 0 + 7\/12*q**4. What is the derivative of n(x) wrt x?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 621240 by 620.\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z = -3*g + 11, -z + g + 1 = 0. Find the third derivative of 44*v**3 - 82*v**3 + 50*v**3 - 21*v**z wrt v.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596517?\nAnswer: 3, 399613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(sqrt(36)\/sqrt(4)))**2 + -1 + sqrt(180).\nAnswer: 6*sqrt(5) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*(sqrt(7) + -5*sqrt(28)) + -6*(2 + sqrt(448)) + 1)**2.\nAnswer: 1050*sqrt(7) + 39424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*o - 96, 5*a + 2*o - 68 = 18. Suppose 0 = -2*y - 178*f + 181*f - 5, -4*y + 5*f - 7 = 0. Solve y*i = 3*n - 2 + a, 3*n + 14 = i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**3 - 3112*v**2 + 2511*v + 4670. What is y(-312)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3*(-60)\/288)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7 - -0.837. Let a = -0.137 + i. Which is smaller: 14 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118282505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 19. Let g be o*3\/18*3. Let c be (2\/5)\/(2\/20). Solve g*b = -3*x - 27, 18 = -3*x - 5*b + c*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855750\/60*(-90)\/(-15)?\nAnswer: 3, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b - 3. Let n(v) = -v**2 + 15*v + 26. Let q be n(19). Let m = 54 + q. Give i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q - 211*q + 427*q + 258*q - 50700 = 0 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/2, 1\/3, 34\/3, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249, -729, -1437, -2373?\nAnswer: -3537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faf when three letters picked without replacement from aaafffaaaa.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*s**3 + 5*s + 17 + 232*s**3 - 5*s.\nAnswer: -4*s**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/15 - q**4\/9 - q**3\/18 + 7*q. Factor r(u).\nAnswer: -u*(2*u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201212120 - -12?\nAnswer: -2201212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 713 - 1417 + 3267*x**4 + 704 - 958*x**4 + (-x + x - x**2)*(3*x**2 - 3*x**2 + 3*x**2) to g*x**4 + c*x**3 + u*x + t*x**2 + j and give g.\nAnswer: 2306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2342 (base 5) to base 7.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -11*d - 7. Let k(t) = 5*t + 3. Calculate 4*h(q) + 9*k(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -5*v - 2*x + 24, 3*v - 10 = x. Suppose 0 = 3*p - 5 - v. Solve -2*t - 4 = -6*t - 4*f, -t = p*f - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-2)\/(-5)*(-6)\/10*(-2635)\/(-51)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 140601.\nAnswer: -140602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77\/45 + -8\/5. What is the third biggest value in -5, 2, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 562, 1827, 4280, 8317, 14334, 22727?\nAnswer: 33892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**7\/42 + 7*u**5\/60 + 2*u**2. What is the third derivative of c(p) wrt p?\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 9*w = -4285. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(162))**2 + 5 + -3.\nAnswer: -36*sqrt(2) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*o - 255*o + 3052 + 7648 = 0 for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.288 - 0.012. Put -1, 1, 4, u in descending order.\nAnswer: 4, 1, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*k - 9 + 65. Let h = 9 - k. Solve m - 3*a = 0, a + a - h = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-22 + 5 + 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1633\/342 + -173\/38. Put -0.6, 1, a, -3\/4, 4 in ascending order.\nAnswer: -3\/4, -0.6, a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:15 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/6145 and 4859\/(-5650) - (1 - 12\/3).\nAnswer: 61450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 3114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 270.4226261 to 2 dps.\nAnswer: 270.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145670 and 1750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/11*(-45)\/297*(-1)\/5. What is the nearest to -1\/2 in 0.2, 5\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqjqjjqjjjjjjjjqjjj. Give prob of picking 1 j and 2 q.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19193059 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -44469 equal to -400228\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 9 - 9. Calculate the least common multiple of 22 and ((-3)\/g)\/(2\/(-16)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031913 rounded to five decimal places?\nAnswer: -0.00319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -0.5 (c) -27 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 943707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57363187807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/92 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - ((-74 - -1) + 2). Suppose 6*b = b + o. Calculate the remainder when (0 + 18)\/(b\/45) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8215, -16434, -24657, -32890, -41139, -49410?\nAnswer: -57709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inic when four letters picked without replacement from {n: 4, z: 5, c: 5, i: 3, a: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:26 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*v - 364*v + 5*n = 132, 0 = 5*v - 4*n + 116 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168362 a multiple of 461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -90*y. Let v(a) = 6*a**2 - 4*a + 4. Let i(g) = 5*g**2 - 3*g + 3. Let s(c) = 4*i(c) - 3*v(c). Calculate h(s(m)).\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216601 and 117943.\nAnswer: 125845181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 12:33 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -8*d - 60. Suppose 0 = -o - o + d. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32573236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -49*k + 57*k - 23 - 60. Let a be c(27). Suppose -2*y + 4 = -4, p + 4*y - a = 0. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u**(-1\/10))\/(u*u**(2\/7)*u*u*u**7)*(u**(-2\/3)*u*u*u*u**(3\/2)*u)**(6\/13) assuming u is positive.\nAnswer: u**(-6511\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24785, -4, -2, 0, -55, -1 in decreasing order.\nAnswer: 0, -1, -2, -4, -5, -55, -24785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1761577, -7046282, -15854121, -28185094, -44039201, -63416442, -86316817?\n\"Answer: -1761567*b**2 - 4*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1507 - 352?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4, -o + 3*z = 4*o + 2566. Find the common denominator of (2884\/o + 5)\/((-5)\/(-4)) and 95\/22.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + t + 25, 38 = 3*d - 2*t. What is the lowest common multiple of 6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 301?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 45760.250775027?\nAnswer: 45760.150775027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**3\/3 - 19. Let t(g) = 2 - 2 - 3*g. Determine b(t(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**4\/24 - d**3\/6 - 12*d**2. Calculate f(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -40 (b) -17\/7 (c) 0.5 (d) -0.02 (e) 0.4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6.9. Let s = -0.1 - m. Let n = 46.55 + -51.55. Which is the closest to s? (a) -2\/9 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o. Let d be r(4). Let g = d - -12. Solve g - 4 = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 2\/3 (b) 0.5 (c) -4\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:00 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520599\/238 - (-1)\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 302*h**2 + 0*h - 485*h**2 - 7*h + 269*h**2 to the form r*h**2 + z*h + w and give r.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-1))\/((-5)\/((-20)\/8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 89 - -76) + (1 - 16) + -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 55122.33.\nAnswer: 55121.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.779 - 0.032?\nAnswer: 3.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(18)*-4 - 3*(sqrt(128) + -3))**2.\nAnswer: -1080*sqrt(2) + 7281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4869 - 4872. Let j(b) = 5*b + 14. Let l be j(-1). Solve -m - q - l = 4*m, -s*m = 5*q + 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y*y**(-3))*y*y\/y**(4\/7)*y*y**7\/((y**(-2\/7)\/y)\/y))**(-33\/4) assuming y is positive.\nAnswer: y**(-3399\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000169433567 to seven dps.\nAnswer: -0.0001694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8248438 kilometers?\nAnswer: 824843.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2323411818 a multiple of 3367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 7*b**2 - 2*b**2)*(-4*b + 3*b - b) + 2*b**3 - 2*b**3 + 2*b**3 + 136*b + b**3 - 12*b**3 - 137*b.\nAnswer: -19*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7*u - 10. What is the second derivative of -d + 29*d**3 + u - 5 - 26*d**3 wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k + 4. Let l be c(-5). Let r = 38 - l. Let a = -24 + r. What is the third smallest value in -0.4, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -94, -104, -130, -178, -254, -364, -514?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3451 - -17880. What is the thousands digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -44. Let z = n + 42. Sort -2, z, 0.1.\nAnswer: z, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(15*30\/(-180)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-6)*(0\/(-7) + 3). Solve 8 = u + n + 1, -33 = -4*u - m*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 - 61*r**2 - 31*r**2 + 3*r - 38*r**2 - 2 - 6*r.\nAnswer: -104*r**2 - 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 5, c: 1, b: 1, g: 4}. Give prob of picking 1 c and 1 j.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-6 - -10) - -3) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**4\/4 - 7*h**3\/3 - 4*h + 14. Let g be m(8). Suppose -3*d = -2*d - g. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0)*4\/6. Is ((-1905)\/(-2))\/3*y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enn when three letters picked without replacement from nneeeeennee?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 12*u + 1260. Suppose 11*g - u = -31*g. Solve -g = -b - 2*w, 0 = b + 5*w - 0*w - 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ppvpppv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 4*x**3 + 2*x**3 + 3*x - x - 2 to v*x + p + f*x**3 + k*x**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/30135 and -139\/34986.\nAnswer: 7172130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217516199?\nAnswer: 19, 131, 281, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 - (-56)\/84. Suppose o = 2*q - 3*q. Solve q = -0*d + d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -98*a**2*y + 2*a**2 - 2*a*y - 661*y wrt a?\nAnswer: -196*a*y + 4*a - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*t + 230 = -143 - 544 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 0 + 16. What is the tens digit of 2\/y*(-2 - 150)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -252, -301, -350, -399, -448?\n\"Answer: -49*y - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61784 + -28576. What are the prime factors of j?\nAnswer: 2, 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04172 and 1331.\nAnswer: -55.52932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/28 and 9\/18571?\nAnswer: 74284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**5 - 347573*r**4 - 15*r**3 - 3*r**2 - 11244989*r - 2?\nAnswer: -240*r**2 - 8341752*r - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112 + -11220?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*m**3 - 467*m**3 + 522*m**3 - 416*m**3.\nAnswer: -1054*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 5*q + 8, -3*r - 5*q + 90 = 74 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2. Let y(o) = 156*o + 1. Determine y(r(v)).\nAnswer: -312*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + x + 3*x - 18, s + x = 4. Suppose 0 = 4*d - s*a - 2392, 6*a + 1184 = 2*d + 2*a. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 + 175*t**4 - 1415*t**3 + 4325*t**2 - 5080*t + 2000 = 0. Calculate t.\nAnswer: 1, 4, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u + 36*u = 18*u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 3216?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63083 is divided by 471.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 + 3*w**2 + 2*w**3 + 4*w - 6*w**2. Let m(y) = y**3 + 2*y**2 - 3*y. Calculate -3*m(b) - 2*r(b).\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146671?\nAnswer: 3, 238519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10\/11)*f*((f\/(f**(-2\/5)*f))\/f)\/f)\/(f**(-9))**(-5\/3))**11 assuming f is positive.\nAnswer: f**(-908\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/57, -0.3, -377 in ascending order.\nAnswer: -377, -0.3, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-2\/9)*z))\/(z**(-3\/8)\/z*z))**49*(z**(2\/11)\/(z\/((z**3*z)\/z*z*z)*z*z))**44 assuming z is positive.\nAnswer: z**(9019\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9486.10636 + -9630.10635858. Let x = f + 144. Round x to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 11*i + 21. Is m(12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*g**2 + 2\/3*g - 1\/3.\nAnswer: -(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k + 0 - 1\/150*k**5 - 1\/20*k**4 - 2\/15*k**3 - k**2. Solve s(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -337*t + 2109*t + 298*t + 560*t + 2141*t in the form b*t + o and give b.\nAnswer: 4771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. Suppose f = -6*i + 4 + 62. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 527. Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -11. Suppose -u + 4 = s, -2*u + h = 7*s - 3*s. What is i in -s*i**2 - 30*i + i**4 + 30*i = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.7 - 10.7. Let y = -2 + c. Let d = -0.05 - -0.08. What is the nearest to d in -2\/3, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-882)*2751)\/(-1 - 462\/(-12)) + -6\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-3)\/(-2)*(-322)\/966?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88706 divided by -34?\nAnswer: -2609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from qqqeeeqqqe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-11 + 10 + 916\/(-29)). Let w = n - -4\/135. Put w, 0.5, -2 in decreasing order.\nAnswer: 0.5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 16265 = -2321. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -382105 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.3225 nanograms to tonnes.\nAnswer: 0.0000000000000513225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -67876 - 0.6\nAnswer: -67876.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 480, 4187, 14338, 34155, 66860, 115675?\n\"Answer: 537*t**3 - 52*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-36)*t*t\/((t**23*t*t*t)\/t)*t*(t\/(((t*t**(2\/99)*t*t)\/t)\/t))\/(t\/(t*(t**(1\/10)*t*t)\/t)) assuming t is positive.\nAnswer: t**(-56351\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-21) - 3\/(-6)*0. Let s = 800 + -799.6. Which is the nearest to s? (a) f (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4\/7 + 64*m**3\/7 + 174*m**2\/7 - 8*m\/7 - 232\/7 = 0. What is m?\nAnswer: -29, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003731 rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 42394 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -892 + 1044. What is the remainder when i is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(7*h**2 - 59 + 59)*(-7*h**2 + 3*h**2 + 2*h**2 - 3*h + 3*h + h**2 + 3 - 3 + h**2 + (2 - 1 - 2)*(4*h**2 - h**2 - 2*h**2) + h - 2*h**2 - h).\nAnswer: -42*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24586853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2589640.3 from 0.05.\nAnswer: 2589640.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 12*m = -15. What is the third derivative of -23*v**3 + 8*v**2 + 14*v**m + v**2 wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 923970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1208364 by -997.\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(16\/5))*p*p\/(p\/p**(-6)))\/(p**(-17)*p*p\/p**30) assuming p is positive.\nAnswer: p**(184\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 2627 - 2704 = 0. Let d = 3 - 2.9. Let p be -4 + ((-32)\/(-6) - 2). Which is the closest to 1? (a) d (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 327, 329, 331, 333, 335?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 14 - 5 + 2*i - 4*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.1 in 0.3, -0.03, 0.4, 11, 0?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from hyhnhhyhhnynh.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 + 330*j**2 + 11764*j - 12096 = 0. What is j?\nAnswer: -112, -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:54 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 616.817107 times 0.3\nAnswer: 185.0451321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 43. Is 4\/(-14) - (-264)\/l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 3:49 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -160*x + 44. Let y be g(0). Solve -y + 17 = -27*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/2 of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Sort y, 2, 0.5, 0.4 in descending order.\nAnswer: y, 2, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 10. Let j = 26 + f. Let k = -22 + 34. Calculate the smallest common multiple of j and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42868?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-17\/5)*v*v)\/((v**(-17\/6)\/v)\/v))\/(v**(-1\/18)\/v**(2\/67)) assuming v is positive.\nAnswer: v**(13624\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1920 + -1930. Let v = 4\/5 - 2\/15. Which is the third biggest value? (a) 1\/4 (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 25. Suppose -3*o + 4*m + 2279 = -0*m, -2*o = -z*m - 1520. List the prime factors of o.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1328 - 1141 - 861 + 0*v - v.\nAnswer: -v - 674","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1449 + 1449 - 2*o**2 + 2*o**2 + 1752*o**3 - 3002*o wrt o?\nAnswer: 10512*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3110, 3109, 3108, 3107, 3106?\n\"Answer: -a + 3111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21, -1915, -5795, -11619?\n\"Answer: -972*x**2 + 980*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 634 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011110011110010001 (base 2) to base 12.\nAnswer: -7a61a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 11*j - 14*j - 2*i, 3*j - 3*i = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4634 + 1715 = 135*j - 1434 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -5. Let g = -0.23 + 0.18. Let r = 6 + -4. Which is the second biggest value? (a) r (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 729, 730, 731, 732, 733?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 + -2. Let u = -0.268 + -0.032. Let t be (-24)\/126*6\/(-4). Which is the nearest to -0.1? (a) q (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-628)\/(-72)*2 - (16 + 1540\/(-99)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0266935 centimeters to kilometers.\nAnswer: 0.000000266935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1683 = -4*b + 5*b, -548 = -c - 4*b. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/(-18) + -13)\/((-1257)\/97208).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 329842 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -13, 107, -134 in descending order.\nAnswer: 107, 9, -13, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 2056.\nAnswer: 4112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 540, -2\/15, 25, -1\/4.\nAnswer: -1\/4, -2\/15, 0.1, 25, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.224012 nanograms to tonnes.\nAnswer: 0.000000000000001224012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11843551\/51832 - 7083\/31. Calculate the common denominator of -81\/4712 and n.\nAnswer: 51832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 2.01, -3\/8, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 57 + 193)*(m + 2*m - 4*m).\nAnswer: -146*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/23)*z\/(z\/(z*z**(-1\/3))))**(-1\/8))**(-2\/21) assuming z is positive.\nAnswer: z**(121\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 195. Let x = a - 52. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1132, -1147, -1176, -1225, -1300, -1407, -1552?\nAnswer: -1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9*t + 2. Let z be (-2 - -2 - 1)\/(-1). Let k(c) = c. Suppose -4*f - 13 - 1 = 3*v, 3*f - 3 = 0. Determine v*k(o) + z*s(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2 - 2*a**2 + 55 + 7*a - 6*a**3 - 7*a - a**3 wrt a?\nAnswer: -21*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-34)\/(-3))\/((-18)\/(-27)). What is the highest common factor of 272 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -1\/3 (b) 20342 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7156 + 7157. Which is the closest to u? (a) -3\/8 (b) -1\/2 (c) 1\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 6348.\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**5\/10 + d**4\/12 - d**3\/6 - d**2\/2 - d. Let y(h) = 11*h**3 - h**2 + h + 1. Let x be y(-1). Let g = 11 + x. Give a(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -287\/1605?\nAnswer: -287\/1605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 142, 141, 134, 121, 102, 77?\n\"Answer: -3*n**2 + 8*n + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -21. What is the derivative of 3 + 0*r**u - 6*r**4 + 1 wrt r?\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.759 + -0.001. Let t = -0.86 - g. What is the third smallest value in t, -2, 0.4, -1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131602, 263209, 394826, 526459, 658114?\nAnswer: 789797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - 4*p - 4. Let f(y) = -y - 1. Let t(v) = -4*f(v) + s(v). Let c be (-9)\/6*482\/(-3). Let m(r) = 241 + 6*r - c. Give m(t(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, -4, 266 in descending order.\nAnswer: 266, 1\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 minutes before 10:45 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 2*i + 3. Let d be w(4). Let x(a) = 4*a - 6. Let b = 106 - 100. Let y(s) = 3*s - 5. What is b*y(m) + d*x(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*(-6)\/(-4). Let y be -4*(r - 0)\/(-1). Is 1644\/48 + 3\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -259 + 1041\/4. Let o = v + -7\/4. What is the closest to 2 in o, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 126*b**2 - 837*b + 137. What is c(6)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = -7. Suppose 10 = 5*v - p*v. Solve -1\/2*d**2 - 2*d - v = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 221*i + 780. Let l be y(0). What is the highest common divisor of l and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -37*t**3 - t**2 - 2*t + 1. Let n be c(1). Suppose -61 = 4*j - 3*k, -2*j - 3*k - 30 = j. Let g = j - n. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1552681962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155899291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 586*b**4 - 729 wrt b.\nAnswer: 2344*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94.8 - 95. What is the closest to 3\/2 in 0.3, -4, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 25*i - 110. Let p = 3 - -15. Calculate the lowest common multiple of o(4) and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13483, 53927, 121345, 215737, 337103, 485443?\nAnswer: 660757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2835032*d + 71*d**2 + 2 - 2835034*d to r*d + u*d**2 + z and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 0*u + 7*u + 4 - 4*u**2 + 3*u**2. What is j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -301*j + 1199. Let g be i(4). Sort g, -1\/3, 5, 0.5, -28 in increasing order.\nAnswer: -28, g, -1\/3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32489, 199, 4 in decreasing order.\nAnswer: 199, 4, -32489","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = 26. Suppose -s = -2*s + m. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2700) + sqrt(2700) + 0)*6 + 0 + sqrt(2700) + -2 + (4*sqrt(54)\/sqrt(2) - (-1 + sqrt(972) + sqrt(27))) + 0)**2.\nAnswer: -762*sqrt(3) + 435479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 15*m**2 + 21*m - 38. Let k(q) = q**2 + q + 1. Let a(i) = -h(i) + 3*k(i). Let b be a(-19). Suppose 0*n = -2*n + 42. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose y*k - k = -2. Is 10 a factor of k*(0 + (-46)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -187.9999054 + 188. What is x rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b*b*b\/b**(-1\/7)*b)\/b)\/b*b*(b*b**(-13))\/b*b)**(2\/73))**(1\/12))**(5\/8) assuming b is positive.\nAnswer: b**(-155\/12264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**2 - 1219. Let v(y) = y**2. Calculate v(i(b)).\nAnswer: 64*b**4 + 19504*b**2 + 1485961","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19326 - -19326. Which is the closest to -1? (a) -27 (b) -5\/6 (c) 3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from {l: 1, u: 1, c: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/7 and 58\/35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2589 (base 12) to base 14.\nAnswer: -17bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 454306*r**2 + 340129*r wrt r?\nAnswer: 908612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*1 - (-2 - 0). Let d = v + 1. Let j(a) = 32*a**2 + 1. Is j(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**6\/165 + b**4\/66 + 3*b + 6. Let y(x) be the first derivative of z(x). Solve y(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/915348 and -89\/4011.\nAnswer: 174831468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*u - 3*z + 20, 3*u + 3*z = 21. Suppose 2*x - 11 = 2*d - 3, -u*d - 11 = -2*x. Let y(o) = 0*o**2 - x*o**2 + 2 - 2*o**2 + 3*o**2. Determine y(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 44 = -34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1311 times 73\nAnswer: -95703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 245251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*r = -46, 5*r + 70 = 49*w - 44*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2769*i*s**2 + 125*i*s + 3*i - 47931*s**2 - 77 wrt i?\nAnswer: -2769*s**2 + 125*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 18. Let w be -1 + 2*m\/4. Let v = w + 11. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8262 by -1377.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*w - 309, -a - 104 = 3*w + 6. Is 29 a factor of (3 - (a - -1))*(1 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112, 524, 1214, 2182, 3428?\n\"Answer: 139*o**2 - 5*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/15*(-30)\/4. Suppose 5*h - 11 = -w, -c*w = -0*h - 5*h - 115. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2\/9*q**2 + 400\/3 + 110\/9*q = 0.\nAnswer: -40, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111311 - 1300133?\nAnswer: -1411444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:18 AM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuuuxuuxu. Give prob of picking 2 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 8. Let c be q(4). Suppose -3*p - c*d + 6 = -19, -2*p + 14 = 2*d. Solve 0*l + l - 5*k + 18 = 0, 3*l = -p*k + 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 598 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 j, and 1 h when four letters picked without replacement from {n: 2, j: 2, k: 4, h: 6, i: 1}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*n**2 + 256770*n - 11246714 with respect to n.\nAnswer: -42*n + 256770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 38 = -4*n, -28 = -5*v - n - 0*n. Is 68 + -3 - (2 - v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 5\/4*y**4 - 35\/3*y**3 + 0*y + 214 + 15*y**2. Find k such that v(k) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 352*n + 15488.\nAnswer: 2*(n + 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13572\/(-585) + (14 - 2) + (-1 + 0)*-7.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f + 4. Let g be q(3). Let l = 8 - g. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1152, -1885, -3098, -4785, -6940, -9557, -12630, -16153?\nAnswer: -20120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -974*h - 9687. Let y be q(-10). Suppose 3*d = -d + 208. Is y greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -15 and -2\/77 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - z. Let y(t) = t**2. Let b(r) = r + 20. Let n be b(-12). Let l(u) = u**3 - 9*u**2 + 8*u + 2. Let h be l(n). Calculate h*y(a) + k(a).\nAnswer: a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/9 + 406*t**4\/9 - 6752*t**3\/9 - 241816*t**2\/9 + 255520*t\/3 - 57600 = 0. Calculate t.\nAnswer: -216, -20, 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 14*f - 19. What is the units digit of y(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 + 11213?\nAnswer: 12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -14 + 1\/2*d**2 - 3*d. Determine l(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**3\/3 - 4*x**2 + 20*x + 450. What is h(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -18, 481, 3, -1 in descending order.\nAnswer: 481, 3, -1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/9228 and -19\/18456?\nAnswer: 18456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3145, 5602, 8059, 10516, 12973?\nAnswer: 15430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -549.9106 and -0.5.\nAnswer: 274.9553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.82614 meters in micrometers?\nAnswer: 34826140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (14 - 24) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*s - 4*s - 1151477. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 2956923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-9) + -3)*549\/122.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 15*g + 67. Let j be l(-19). Put 0, j, 4 in descending order.\nAnswer: 4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -27*p**2\/2 + 225073*p\/2 - 4168 = 0?\nAnswer: 1\/27, 8336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 410 = 333 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by ((-2)\/(-4))\/(26\/1300).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87788.2087 + -87792. Let m = 3.8 + x. Round m to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -7*y**4\/8 - y**2. Let k(l) = 6*l - 7*l + 8*l - 14*l + l. Determine -18*k(c) + 5*q(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 5*d - 13, 4*f - 5*d - 23 = 0. Let b = 2 + f. Factor 3*u**2 + 3*u + 0*u**4 - 3*u**3 - 3*u**b + 0*u**4.\nAnswer: -3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 106757*t + 106329. Determine c(-1).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + ((sqrt(10)\/sqrt(2))**2*4 - sqrt(5)) + -4 - (1*-5*(sqrt(5) - -2*sqrt(5)))**2) + -3.\nAnswer: -1112 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 8 - 9*d**2 - 4*d**2 + 1 - 8*d + 9*d**2. Suppose 2*z - 6 = -0. Suppose -2*p = -5*y - 22, -p + z*y = -y - 14. Determine f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (57\/(-20) - (-39)\/(-52))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -143 (b) 6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8482893 to the nearest integer?\nAnswer: 2913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-12112)\/(-9315)) + (-263)\/526. Let z = -1\/3726 - n. Factor -v**4 + 0*v - z*v**2 + 1\/5*v**5 + 0 + 8\/5*v**3.\nAnswer: v**2*(v - 2)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206193079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 11 - 25*c + 24.\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 9*z**2 + z + 1. Calculate i(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47728388 to the power of 1\/2, to the nearest integer?\nAnswer: 6909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide ((-912)\/(-40))\/((-2)\/(-25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -504707739484?\nAnswer: -504707739484.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4045385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1554199 is divided by 310839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 20 + (0 - (6 - 1)) + -8 - 8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.82 + 0.18. Let f = w - 18. Let h = f + 4. What is the second biggest value in 1\/2, h, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -131240?\nAnswer: 131240.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139, -273, -407, -541, -675?\nAnswer: -809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -13, 3\/2, -15\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 - 2*p + 2 + 4*p - 14 to the form r + m*p**2 + z*p**3 + c*p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + b + 37 = 0, 4*b = 4*z - 6*z + 6. Let h = 13 - z. Factor 0*k**2 - 8 + k**2 - 5*k**h - 12*k.\nAnswer: -4*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 5*i**2 - 6*i + 3. Suppose 3*t + 2*a = 797 - 166, 3*t - 601 = 4*a. Let m = t - 203. What is g(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v**2)*(0*v**2 + v**2 + 2*v**2) - 32*v**4 + 136*v**4 + 135*v**4.\nAnswer: 245*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 14 + 51 + 7*z - 14. Let w be u(-7). Solve w*c - 2 - 6 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 1, j: 1, x: 13}. Give prob of sequence xe.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396*j**5 - 8872*j**4 - 27748*j**3 + 51888*j**2 - 17264*j + 1600 = 0. What is j?\nAnswer: -4, 2\/11, 2\/9, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93486302.\nAnswer: 2, 7, 13, 103, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/11 and (-228)\/(-14)*(-1568)\/(-168336).\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -938 + 939. Is y < -483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.365+-86392\nAnswer: -86392.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**4\/12 - 2*h**3\/3 - 4*h**2. Let t(y) = -12*y + 25*y - 5 - 15*y + 0. Calculate 3*t(f) - 4*w(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 53 - 74 = -2*r, -r + 41 = -4*i. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*m + 8*m - 6*m)*(178*m + 1 + 2*m**2 - 154*m + 0*m**3 + m**3) in the form v*m**4 + f*m**3 + r + b*m + l*m**2 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -19460 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -10, 2.\nAnswer: -10, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) 0.5 (c) -4 (d) 10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -31. What are the prime factors of (1 - 871)\/q - -2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26812.\nAnswer: 2, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 28*h - 28*h + (-3 + 3 + 2*h)*(3*h**3 - 6*h**3 + 2*h**3) - 10 - 2*h**4 + 10.\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let a(o) be the third derivative of 0*o**4 + 0*o**3 + 0*o - 1\/20*o**5 - 2*o**2 + 0. Calculate z(a(f)).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = b + 88, 5*z - 5*b = -b + 110. Suppose -2*s + 5*f = s - 91, -3*f = -4*s + 103. Calculate the lowest common multiple of z and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 22 - 51*q + 2 + 0 with respect to q.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Suppose -14*n + 18*n = 0. What is the third derivative of n*p**6 + p**6 - 2*p**z - 2*p**2 + 0*p**6 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9586 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-15) - (-173)\/((-6228)\/192).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:44 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:21 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/25)*y*y*y\/((y\/((y**(-14)*y)\/y))\/y))\/((y*y**(-1\/2))\/y)**(-1\/9) assuming y is positive.\nAnswer: y**(-5011\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -221101121201100?\nAnswer: -221101121200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 9:25 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*d**2 - 5*d - 5*d + 10*d - 145*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 64 + 7 = -15*b, -4*b + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26667463027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-18))**(-20)\/(((a*a\/(a**22\/a))\/a)\/(a\/a**(22\/5))))**(2\/47) assuming a is positive.\nAnswer: a**(3766\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1539?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-8)\/(-9134)) - (84 + -89). Let o = -1130 - h. What is the common denominator of o and -101\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137, -323, -487, -617, -701?\n\"Answer: 2*g**3 - g**2 - 197*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 42. Let l be ((-1)\/(-5))\/(v\/(-10)). Find h, given that -h**3 + l*h**2 + h**4 + 0*h - 1\/3*h**5 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, s: 5, i: 2}. Give prob of picking 4 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.5309 - -6.5309101538. What is m rounded to 7 decimal places?\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 133*s + 536. Let t be f(-4). Solve -31 = -3*y - 5*o, 0*y - 2*o + t = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166b3 (base 13) in base 12?\nAnswer: 209b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 14*j + 18. Let a(z) = 2*z**2 - 14*z - 19. Let y be (4 + -3)\/(2\/4). Let q(w) = y*a(w) + 3*b(w). Factor q(r).\nAnswer: -2*(r - 8)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691018663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 2*m**3\/9 - 7*m**2\/3 - 20*m - 212. Determine g, given that t(g) = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.45 + -1.54. Which is the nearest to 1\/2? (a) -3\/4 (b) 2 (c) p (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(8\/5))**(-30))**(1\/4) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:11 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 104. Suppose -o = -5*a + 20416 + 63637, 0 = w*o - 8. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61446432 divided by -96\nAnswer: -640067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - 14 = 0. Suppose -j + 4*n = -14 - 1, 17 = 3*j + 2*n. What is the remainder when j is divided by (u\/(-3) - -3)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*o + 2317 - 2205, 12 = -3*h + o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 426469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*(449972\/276)\/67\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1820)\/1372)\/(-13))\/(5\/42)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7683133 (base 9) in base 11?\nAnswer: 2370339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + (-296)\/(-40) - (-106833)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 6. What is z(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2034*q - 2055*q = -3964*q - 4750 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from aattaataatttaaaaaa?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.507434 litres?\nAnswer: 2507.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/4608 and 57\/5?\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*4\/(-1)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15801.27525 rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggxghhjggggggh. What is prob of sequence hggg?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*u + 14 = -0, 2*u = -4*f + 14. Solve 0 = -3*w - 2*y + 21, w + f*w - 5*y = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -601927\/125125 + 51\/1625. Which is smaller: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(-1*3\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 84\/70*(-160)\/24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 30*k + 54. Let o be c(12). What is the highest common factor of 36 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-101)\/(-3 + 10\/5). Let w = l + -69. What is the greatest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - z**2 + 3*z**2 - z**2 - z**4. Let g(c) = -7*c**4 + 5*c**2 - 4*c. Let t(u) = g(u) - 5*s(u). What is the second derivative of t(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 g when three letters picked without replacement from {c: 1, u: 1, g: 11, o: 6}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.9 + 3. Let k = -0.377 - -44.177. Let a = 44 - k. What is the second smallest value in 5, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v + 11. Let k be i(8). Let z = -47 - k. Let y = -12 + z. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -15, 3 in descending order.\nAnswer: 3, 1, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50653*n**4 + 160*n**3 - 4771879*n**2 wrt n?\nAnswer: -1215672*n + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 38. Let a(j) = -3 - 14*j + m*j - 3. Give a(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 5. Let z = 11656 - 11660. Let k(t) = -t - 11. Determine z*k(o) - 9*i(o).\nAnswer: -5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -11*n**3 + 183*n - 2. Let h(v) = -12*v**3 + 185*v - 3. Calculate -5*g(j) + 4*h(j).\nAnswer: 7*j**3 - 175*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8738849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.164 - -0.488. Let n = -0.69 + q. Let v = n - -0.008. Is -3\/2 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*z**2 - 59*z**2 + 429*z**2 - 213*z**2 - 6*z**2.\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -4 + 7 + -8 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-108)\/((-12)\/(-2))*(-6)\/27. Solve 3*o - o = -3*d + 12, -d + 2*o - k = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 11:36 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*d - 1 - 1 + (-3 + 3 + 4*d)*(-2 + 0 + 3).\nAnswer: 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-3) - 1)\/(-2). Let r(t) = t**2 - t + 6. Let y = 32 - 22. Calculate the lowest common multiple of y and r(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35*-1 - (5 - 5). Let p = a + 55. What is the derivative of -p*t**2 + 5 + 19*t**3 + 20*t**2 wrt t?\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18565 - 18545. Sort -6, -2\/7, n, -49 in ascending order.\nAnswer: -49, -6, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 230983 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qzqyzzyyzqqz?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*o + 12, 23*o = 21*o - 2*x + 24 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 18*x**2 + x. What is the tens digit of u(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 114.3742 and -0.3.\nAnswer: 114.0742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6471 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 1. Let a(v) = 10*v + 2. Give 2*a(c) - 4*u(c).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32624 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 3*j + 10 + 11, -14*j + 5*r - 1 - 18 = -16*j + 6*r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(21\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 29 = 2*x, 5*x - y - 53 = -0*x. Solve 0 = 41*g + x + 31 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.2. Suppose 3*c = 3*u + 6, -4*u = -10*c + 13*c - 13. Let y(g) = g**2 + g - 2. Let x be y(0). What is the smallest value in z, c, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 22287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*s**2 - 4579292 + 4579292.\nAnswer: -567*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25223555 - -4?\nAnswer: 25223561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.3 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -1313.\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3850, -4044, -4366, -4816?\n\"Answer: -64*q**2 - 2*q - 3784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89630759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227198.\nAnswer: 2, 3, 7, 61, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3965134.92 to the nearest ten thousand.\nAnswer: -3970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42988 + 193989. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 437670*b**3 - 158434980*b**2 - 19152916970*b - 772143719655.\nAnswer: -5*(b + 121)**3*(b + 87171)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7919\/154 - 359\/7. Which is the nearest to -1? (a) 3\/2 (b) -41 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = 40. Is m greater than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1276? (a) 3 (b) 2\/3 (c) -2 (d) 688\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.58611 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -530006, -1060102, -1590198?\nAnswer: -2120294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -40*a - 4. Let b(p) = -121*p - 11. Let q(y) = 4*b(y) - 11*m(y). Let r(l) be the first derivative of 2*l**3\/3 - 2558. Calculate q(r(d)).\nAnswer: -88*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w + 13. Let f be i(-4). Suppose 4*h + 4 = -f*u + 2, 0 = -5*h - 4*u + 2. Solve -2*p - h = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97020 or 97028?\nAnswer: 97020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, 2.8, 2\/7 in decreasing order.\nAnswer: 2.8, 1.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.397, -0.5, 0.1, 5 in ascending order.\nAnswer: -0.5, 0.1, 3.397, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -804252*a**4 - 716619?\nAnswer: -3217008*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 2240912.\nAnswer: 168068400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 7:18 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*i - 1103 - 3575 = 270*i + 1142 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 5:49 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 37*v**4 - 385*v**3 + 720*v**2 - 20*v - 352 = 0.\nAnswer: -22\/37, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 703298 and 4368?\nAnswer: 698930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*a - 4*d - 5, -d + 20 = 4*a. Let m(c) be the second derivative of -c**3\/6 - c**2 - 1994*c. Determine m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**3 - 5*a - 16*a + 0*a**2 + a**2 + 18*a**4 - 197*a - 2*a**2 wrt a?\nAnswer: 432*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = f - 14*d - 8, 4*d - 4 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**2\/2 + 11*j - 1. Let c be k(-9). Let y = 273 + -113. What is the greatest common factor of y and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -18\/85 (b) 4\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -10, -14 = o - 121*c + 118*c. Solve -4*x + 57*k = 58*k - o, 2*x + 3*k - 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*j + 115 + 118, -n + 94 = -2*j. What is the highest common factor of n and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(3096\/60))\/((-135)\/12)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -259. Suppose 6*k + 36 = -0*k. Let j = k + z. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 50*u - 30 + 14*u**2 + 60 + u**3 - 12 + 0*u**3. Let j be k(-8). Solve j*f + 3*y + 0*y = 0, 0 = f + 4*y - 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*z - 826 + 3386, 0 = -5*z + 2*i + 3200. Are 8 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -451 + 857. Let v = u + -370. Is v at least as big as -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -10695.\nAnswer: -2\/10695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-258)\/(-4))\/((25\/94)\/(-5)). Let m = -1219 - l. What is the common denominator of 3\/2 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 843382891 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21747, 47021, 72295?\nAnswer: 97569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -26\/269?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 726\/121 - 1*2. Sort m, -4, -2, 60, -3 in decreasing order.\nAnswer: 60, m, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -110, -165?\n\"Answer: -55*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492683 to the power of 1\/2, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*b)*(-11*b**2 + 26 - 26) - 8*b**3 - 6 + 6.\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -52. Let p(i) = i**2 - 8*i - 16. Let z be p(v). Let t be -1 - (z + 0 - 10). Solve 0 = t*c - c - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*t = -70*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141262 - -238900. Let k = y + -97636.99954. Let g = 1 - k. Round g to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-15)*((-23625)\/140)\/(-45).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.484579 decades in years?\nAnswer: 44.84579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 12 = 4*j - 0*x, 4*x = j - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 9*f = -9*f - 825. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321\/535 - ((-82)\/30 + 1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, -0.07, 6 in ascending order.\nAnswer: -0.07, 0.28, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/150 - (412\/60 + 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gspgsgvwpgsgx. Give prob of sequence pvx.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:03 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8577187 is divided by 932.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 + 9. Let j be v(-4). Let d = 76 - j. Suppose 8*a - 5*b = d*a + 85, -9 = -3*b. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579346011.\nAnswer: 3, 23, 31, 137, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345\/(-6279)*52*(-21)\/1.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (3 - (3 - (-3 + 2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 take away 17.01?\nAnswer: 296.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 0*r**4 - 100*r**2 + 140 + 0*r**3 + 0*r**5 - r + 49\/15*r**6. What is the derivative of b(t) wrt t?\nAnswer: 392*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16077, -16075, -16071, -16065, -16057, -16047, -16035?\n\"Answer: p**2 - p - 16077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 4*d**3\/3 + 3*d**2\/2 + 191*d. Calculate m(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -17 (c) 8\/15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -55856*o + 18712*o + 370*o + 4284*o - 10305*o in the form z*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9197879mg to micrograms.\nAnswer: 919.7879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgg when four letters picked without replacement from ggss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/24 and -29\/141846?\nAnswer: 567384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 - 13*l + 5. Let u be t(4). Let g(b) = 7*b - 1. Let r(v) = -1. Let d(x) = g(x) + r(x). Determine d(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -34, 1, 244, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 11 = -5*t - 6, t = -r - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-35) - 2\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 6:16 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.5 + -1.483. Let q = -0.0124 + a. Round q to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92087.5 decades to centuries.\nAnswer: 9208.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/35 - 11\/35. Let r = 169\/6 + -28. What is the second biggest value in h, r, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054870982 take away -0.17?\nAnswer: -1054870981.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - 1) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**2 - 219*s + 13. Is 22 a factor of c(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2391778?\nAnswer: 2, 1039, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1*38\/(-8))*-20.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*w + 29 = 0, 3 = -3*w - 3. Suppose -4*o - 4*x = -96, r = -2*o - 5*x + 56. Are 22 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24945, 24936, 24927?\nAnswer: 24918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 257 + -264 - (-21 - (-2 + 1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let w be (-8)\/(10\/4 + -3). Let g = w + c. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(21)\/sqrt(3))**2) + (sqrt(560)\/(sqrt(10) - sqrt(40)))\/sqrt(8).\nAnswer: -sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27075195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.069 + 0.231. Suppose 16 = 5*g + 6. Sort 6, h, g.\nAnswer: h, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -9, -3\/2, 1 in descending order.\nAnswer: 1, -3\/2, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786508 times -10?\nAnswer: -37865080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 215 = 243 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hssereessherhrreshrr. Give prob of sequence rers.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/14 - (-3)\/(-21). Put 1, -1, n in increasing order.\nAnswer: n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1565?\nAnswer: 2\/1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-80)*-3)\/(-3). Let j be 1*2 - (-10)\/(-4 - 6). Let o be -8 - -7 - j\/3*0. Is o >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2422381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 2. Let p be c(-3). Let z(o) = -o**3 + 5*o**2 + 2*o - 6. Let y be z(5). Put y, p, -4 in ascending order.\nAnswer: -4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 = -16. Suppose 3*d - v*p + 4 = -1, -30 = -5*d - p. Suppose 2*y + y = l - 6, d*l = 3*y - 6. Let h(o) = -4*o - 4. Give h(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-561)\/(-136))\/(-11)*8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 3:48 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 5*b + 2. Suppose 14 - 2 = 4*i. Let m(u) be the second derivative of u**4\/12 + 2*u**3\/3 + u**2 - 66*u + 1. Determine i*h(v) - 4*m(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.135, 2\/3, -1\/7, 2\/55 in ascending order.\nAnswer: -1\/7, -0.135, 2\/55, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrm. Give prob of picking 3 r.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5088.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.19179 - 15.80796. Let y = p - -17. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 130, -12.1, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -8. Let q be (-5 - -3) + d + 1. Suppose -5 = s - 2*s. Put s, q, -4 in decreasing order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-86724\nAnswer: 43362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 2*r - 11. Let t be b(6). Let i = 17 + -29. Let j = i + t. Calculate the lowest common multiple of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/17 - 30*j**2\/17 - 8*j\/17 + 120\/17.\nAnswer: 2*(j - 15)*(j - 2)*(j + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/6 + 35*x**2\/3 + 329*x\/6 + 130\/3 = 0?\nAnswer: -65, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 17*w + 3. Let f = 156 + -156. Calculate the smallest common multiple of p(f) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.44 (b) 8\/9 (c) 1 (d) 4.1 (e) -7\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*h = -1860, -6*q - 2818 = -12*q + h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13407, 26684, 39959, 53232, 66503?\nAnswer: 79772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/195244016 and 109\/74448.\nAnswer: 1757196144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 176. Suppose -77 - 104 = -o + 5*v, -5*o - 5*v = -875. What is the greatest common factor of o and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 365*k - 13. Let p be i(41). Suppose -14*o + 15554 = -p. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1860, -5170, -9932, -16146, -23812, -32930?\nAnswer: -43500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*r = -8, 3*i = r + 1 - 3. Suppose 0 = -2*z + 4 - 2. Suppose k - z + 6 = 0. Sort 1, i, k in increasing order.\nAnswer: k, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 3*p + p)*(2 - 2 + 2)*(4 - 2 + 6)*(-16 - 1 - 1)*(-2 + 1 + 0).\nAnswer: -1728*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 + 181. Let d(q) = q**2 + 9*q - 8. Let h be d(-10). Calculate the remainder when s is divided by 1\/h*(35 + 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*u**2 - 11581*u**3 + 377*u**2 - 757*u**2.\nAnswer: -11581*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-1914)\/319)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from stmttmssmmtm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 0. Let p = g - -4.5. Let n = p - 0.4. Which is the nearest to n? (a) -1\/3 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13015?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1479495 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + 3*o**2 - 7*o. Let u(c) = 3*c**3 + 2*c**2 - 6*c. What is -4*f(p) + 5*u(p)?\nAnswer: 3*p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1614411, 3228849, 4843287, 6457725, 8072163, 9686601?\n\"Answer: 1614438*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21\/5 - -18\/5. Let j = 4788\/13 - 368. Sort n, j, -5.\nAnswer: -5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10702 is divided by 236?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -297, -446?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 679 + 8?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = h + 4*h. Suppose 4*v - 5*v + n = -728, -2*v + 1450 = -h*n. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -6\/11 (c) -337 (d) -6.2 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 19*b - 55. Let q be k(23). Suppose 0 = 7*p + 60 - q. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 8469240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5 - 7. Let q = -2657 - -2661. What is the least common multiple of 1 - y - (-1 - 2) and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-232)\/(-87)*(-3)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 979470571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 8*c**2 + 6*c + 1. Let o be w(-7). Suppose 0 = h + 2626 - 2776. Let b = o + h. Is 20 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.018 + 0.282. Let z be 1 + (-9)\/5 + 1\/1. What is the closest to 18 in z, -0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -33*s + 3065. Give z(82).\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/189 + (-211354)\/791469?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, s: 5}. What is prob of sequence ss?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1*10)\/((-72)\/36) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1455 and 39?\nAnswer: 18915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n - 30. Let k be ((-4)\/n)\/((-11)\/33). Suppose 0 = -5*w - 5*b + 35, -3*w + 4 = -k*b - 22. Solve 3*u - 2 = -w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0761 - -4.7139. Let w = -0.21 - p. Which is the nearest to 0.1? (a) 0.4 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/(-14) - 2\/7. Suppose -16*q - 1 + 33 = 0. What is the third biggest value in 0.5, p, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405, -998, -3331, -6594, -10787, -15910?\nAnswer: -21963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*g**3 + 1020*g**2 - 228*g.\nAnswer: 3*g*(g + 38)*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 892333.3kg?\nAnswer: 892333300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) + 2*sqrt(26)\/sqrt(2) - sqrt(13)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 238896.8 micrograms?\nAnswer: 0.0002388968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2280*24*150\/(-15).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + (-96)\/(-9). Suppose k = 2*o - 14. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*sqrt(704) + -5)**2.\nAnswer: 480*sqrt(11) + 8523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*d - 1942 = 1661, -5*y = -5*d - 4495. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -4*c**3\/3 + 14*c**2 + 72*c + 360. Factor i(b).\nAnswer: -4*(b - 9)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18\/29? (a) -13 (b) -13\/3 (c) -18 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(sqrt(44) - sqrt(264)\/sqrt(6))*-6*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -39611 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1\/2 (c) 526.66 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3301, 3286, 3261, 3220, 3157, 3066, 2941, 2776?\nAnswer: 2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*s - 6 + ((3 - 2 + 0)*(2*s - 3*s - 2*s) - 13*s + 8*s + 2*s - s - 3*s + 9*s)*(-2 + 7 - 3) to the form w*s + c and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:40 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32127 rounded to the nearest one hundred?\nAnswer: 32100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12bc + -47?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 985 - 907. What is the highest common divisor of c and 494?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Let w = -3.1 - q. Let v = w + -0.3. Which is the second smallest value? (a) -0.2 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*2)\/sqrt(4).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 6. Let w be q(-8). Let i be (1 - w)\/((-6)\/42). Let y = 22 - i. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*t - 5*u - 22, -t + 20 = -5*u. Let l be (-1 - (-17)\/3) + 8\/24. What is the remainder when t is divided by (-4)\/(-5)*(-2 - (l + -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.159709 micrometers to kilometers.\nAnswer: 0.000000007159709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.9 + 15.9. Let o = -1411\/9 + 157. Put -4, o, x in ascending order.\nAnswer: -4, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -235*n - 6837. Determine y(-21).\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 + -1.5. Let t = -8 - -13. Let j be (-1)\/3 + (-12 - (-3 + -10)). What is the closest to c in -2, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-4)*r))\/(r\/r**(1\/4)))**(-19) assuming r is positive.\nAnswer: r**(-247\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/20 - 19*o**4\/12 + 65*o**3\/6 - 25*o**2\/2 - o - 1061. Calculate s(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 366 = 3*h, 2*x + h - 88 = x. What is the hundreds digit of 16850\/x + 4\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/15)\/((-9)\/(-45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -11 + (16 - 2 - 13 - -3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxhhhhxxxhxhxxhxhh. What is prob of sequence hxhh?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = -3*u - 215*o, -6*u + 2*u - 2*o - 320 = -314 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5922 + 7299. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 961548 divided by -6.\nAnswer: -160258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5706*v**2 - 2*v + 5676*v**2 + 5773*v**2 - 17059*v**2.\nAnswer: 96*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*g + 1)*(-6381*g + 23296 - 46600 + 23304).\nAnswer: 12762*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15734210509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 7*l - 45 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (20 + -18 - 25) + 41.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 204 and 84?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -4. Let i = l - 18. Suppose 0 = -t - 0*j + 4*j + i, t - 8 = -j. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25985295 divided by 1732353?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171898120 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 770512.48 + -770513.36499529. Let n = -110.885 - -110. Let u = n - d. Round u to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -5*x + 3*k + 40, 3*x + k - 10 = 0. Suppose -x*w + 10 = -15. Let j = w + 6. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + -0.19. Suppose 2*p = 7*p + b + 6, 10 = p + 3*b. Let m be 1\/p - (-18)\/(-24). Sort s, 5, m.\nAnswer: m, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - l**3 - 6*l**2 + 24 + 22 - 50. Suppose 5*q + 9 = 3*r - 11, 5*r + q = 24. Let s = 0 - r. What is h(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 72*o - 1213. Calculate t(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 92797*z + 371203. Give l(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21414 - -21376. Let a = -137\/8 - -17. What is the biggest value in -1\/2, y, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.2. Let w = n + 0.3. Let y = -1419 + 1418.5. What is the closest to w in y, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2. Let b be -12*((-6)\/(-9))\/(-2). Let l(o) = -b*o + 6*o + 7*o - 5*o. Calculate l(z(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 11*a + 16. Let h be g(11). Suppose 17 = 3*z - h. Calculate the highest common divisor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/30)\/((-5)\/3)*4. Suppose -3*s + 20 = o + 2*s, -3*o + 43 = -v*s. Suppose 3*z + 9 - 36 = 0. What is the remainder when o is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 (base 9) to base 13\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - -44 - (0 + 3 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**2 - 5. Let p(l) = -10*l**2 + 3. Let w(g) = -5*p(g) - 3*v(g). Calculate w(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 8475*g**2\/7 + 17952168*g\/7 - 17960644\/7.\nAnswer: (g - 1)*(g + 4238)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5 - 3*u**4 - 52*u**3 + 128*u + 48 = 0 for u.\nAnswer: -2, -2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -176. Suppose 271 + 391 = 4*f + 2*t, -2*t = 2*f - 328. Let q = f - v. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(8 + (-3978)\/495)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 37 = 4349. Suppose -3*p + 4561 - x = -4*u, -4*p + 4132 = 3*u. What are the prime factors of p?\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -3*a - 2*v, -5*v + 170 = 3*a - 66. What is the lowest common multiple of 6 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + -6 - ((-2 - -2) + -318). Let c = z - -914. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1193357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 + -19.9. Let y = -10.000002135 - s. What is y rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 356\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 7*b**2 - 4*b + 6. Let i be h(-6). What are the prime factors of (-4 + 39\/i)*-2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/3 + -4\/3. Which is the fourth smallest value? (a) 10 (b) -1\/6 (c) -0.5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(2*sqrt(180) - sqrt(180)))\/(-6*sqrt(48)\/sqrt(48)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*w + 10*w**2 - 15*w - 6*w**2 + (w**2 + 2*w - 2*w)*(1 - 2 + 4) as q + l*w**2 + i*w and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 35 - 9 + 8 + 2*z.\nAnswer: 2*z - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*q**2 + 34*q**2 + 13*q - 12*q + 2 - 2*q**4 - q**3 as a*q + i*q**2 + h*q**4 + o*q**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 982701840 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -454355 divided by -5\nAnswer: 90871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhs when four letters picked without replacement from sshssshssshssh.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 30*z**3 - 1 + 31*z**3 - 4*z**2 - z. Let b(j) = -j. Let h be b(-5). Let s be m(h). Let v(q) = -q**3 + 6*q**2 - 3*q - 5. Determine v(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -58. Let y = 18.1 + p. Which is the nearest to y? (a) 3 (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 283076*t**2 - 1 - 283096*t**2 + 1. Let x(r) = 3*r + 17. What is h(x(k))?\nAnswer: -180*k**2 - 2040*k - 5780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2923\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3274547897.\nAnswer: 89, 2557, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:43 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 7:37 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (7\/(-84))\/((-1)\/94) and 37\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/48270 and -39\/135110.\nAnswer: 652175970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/10 - p**4 - 7*p**3\/3 - 264*p. Factor u(w).\nAnswer: 2*w*(w - 7)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 259145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16378 - -16394. Solve -j*o = -1 + 113 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*i - 58, -22 = -2*k + 4*i + 54. Suppose -2*y + k = 6. What is the remainder when 78 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from gpipp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**8\/112 + 2*v**7\/35 - v**6\/10 - v**5\/10 + 5*v**4\/8 - v**3 - 35*v**2. Factor f(w).\nAnswer: -3*(w - 2)*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrqq when four letters picked without replacement from rrrrrqrrrrrrrrrrqq.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, -854, 784, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j - 7. Let c be g(1). Suppose -4*b + 4*l = -0*b + 8, 5*l = -c*b + 34. Suppose o + 0*o = 2. Solve -m = -b*z - 20, -2*m - o*m - 3*z = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*z + 14, -5*f - 50 + 141 = -3*z. Is 10 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((2 - 12) + 9 - (-3 + 6 + -43)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2120 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v**2. Let j(d) = 4*d**2 + 3*d**2 - 4*d**2 - d**2. Give j(t(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 407659 + -2?\nAnswer: 407657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*180\/(-120). Let z(v) = v**2 - v + 1. Let g(m) = 14*m**2 - 5*m + 5. Calculate i*g(b) + 5*z(b).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7482753, 7482756, 7482759, 7482762, 7482765, 7482768?\n\"Answer: 3*f + 7482750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s. Let b(v) = -5*v**2 - 2*v. Suppose 7 = -p - 14. Let z(f) = 51*f**2 + 21*f. Let n(w) = p*b(w) - 2*z(w). Give x(n(h)).\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4804\/16)\/(4\/48). Suppose 13*f - 999 = r. Is f a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943752?\nAnswer: 2, 3, 39323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 0*b**4 + 2*b**2 + 0*b - 1\/210*b**7 + 0*b**3 + 0*b**5 - 7\/120*b**6 - 102. Determine t, given that z(t) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/5)\/p*p)*p)\/(p**3*p) assuming p is positive.\nAnswer: p**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = t + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44816139 to the nearest integer?\nAnswer: 6694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 - 5*i + 2. Let n(q) be the first derivative of -2*q**3 + 3*q**2 - q - 15033. Calculate -5*l(t) - 4*n(t).\nAnswer: -t**2 + t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*(0 + -1)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = l + 5*a - 1, -l - 3*a + 7 = 0. Let v = l + 9. Let d = -216 + 212. What is the nearest to 1\/2 in -6, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5510?\nAnswer: 2, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5041 - 2945. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38624 and 24424?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120.9 - 107. Let v = o - 18. Let b = v + 2.1. What is the closest to 4 in -4\/5, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-610)\/(-9) + 2\/9. Suppose 3*o + 1 = -4*a + b, 3*o - 51 = -3*a. Suppose -3*n + n = -a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156927390 is divided by 4113.\nAnswer: 4101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -127 in decreasing order.\nAnswer: 5, 2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*g - 113*g - 180*g)*(-3 - 1 + 5) in the form q*g + u and give q.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1139 divided by 5\nAnswer: 1139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -33*h + 68. Let n be p(2). Is 15 a factor of n*((-3988)\/(-8) + -3) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 3, 0.2, 10\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 12*t + 8. Determine x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-63) + 4\/(-384)*4)\/((-165)\/(-4))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 11*c**2 - 2*c - 9. Let o be b(4). Calculate the highest common divisor of 106 and o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576 = -50*b - 0*b - 24 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 - 54 = -10*s. Solve -20*k = -s - 19 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 3. Let j be b(-3). Let z be (j\/2)\/(-1 + (-1)\/(-4)). Solve z + 10 = -5*m + i, -m + 3*i = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 4:03 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24885058 to the power of 1\/2, to the nearest integer?\nAnswer: 4988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144340530 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542640 is divided by 66?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4506, 0 in descending order.\nAnswer: 0, -1, -4506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25\/46 - -1\/23. Let w be (-6)\/(-27) - 848\/(-18). Let f = -47 + w. Sort f, c, -0.1 in decreasing order.\nAnswer: f, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 118 = -19*u. Solve 16 = l - u*n, -4*l + 0*n - n = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*k + 6224, -3*h + 3128 = 2*k - 6*h. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 4*g)*((3 - 4 + 2)*(-1 + 3 - 4) - 2 - 3 + 4 - 7 - 2 - 3).\nAnswer: 60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11591 and 9352207?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -25\/3 (b) -0.4 (c) -4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12937, 25855, 38773, 51691, 64609?\n\"Answer: 12918*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yyrrryyryyy.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:15 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6508*k - 19530. Determine f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 734 is divided by 48?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (56\/(-2))\/4. Suppose -41 + 1 = 4*j. Let o be 6\/j - (-3)\/5. Solve o = -z*g + f + 17, -3*f + 2 = -5*g + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllnll. What is prob of picking 2 l?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2\/12) - (-3)\/1. Is (-305)\/(-7) + a\/(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 divided by 71\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2))\/((4*8\/(-144))\/(5\/36))?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*k + 42*k + 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1943409, -3886959, -5830509?\n\"Answer: -1943550*z + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -3*l + 10. Are -38 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p + j, 3*p - 5*j + 27 - 73 = 0. Find the second derivative of p*g**2 - 20*g**2 - g + 14*g wrt g.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*f = 4, 3*f + f = m + 10. Suppose -2*z = -m*n + 50, -3*z = -n + 4 + 29. Suppose 0 = 7*r - 4*r - n. Let v(x) = -x**2 + 9*x - 10. What is v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 30. Let y = 25 + q. Suppose -55*t - 36 = -y*t. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2923, 2770, 2607, 2428, 2227, 1998?\n\"Answer: -c**3 + c**2 - 149*c + 3072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {j: 3, d: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40202899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3804 + 360. What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260 = 54*g - 28*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 5*j - j)*(102*j + 99*j + 92*j - 386*j - 3725*j**3 + 93*j).\nAnswer: 26075*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Suppose c = -k - k - 2. Let i(x) = 83*x**2 - x - 1. Is i(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 0*n + 2\/3*n**3 + 9 + 0*n**2. Let w(s) = -8*s. Calculate w(b(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -46, -3, 97, -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -1.5. Suppose 0 = 8*h - 7*h - 6. Let l be (-2)\/h - 36\/54. Which is the third smallest value? (a) 0 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*y - 3137*j**2 - 4*j*y - 19*j - 51*y - 807953 wrt j.\nAnswer: -6*j*y - 6274*j - 4*y - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13544714 to the nearest integer?\nAnswer: 3680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 10:33 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2636 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:14 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 120*h**2 + h + 3. Let g be v(-2). Suppose 0 = -4*m - 5*n + g, -2*n = -5 + 3. What are the prime factors of m?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -89*x**2 - 447*x + 6. Give p(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(216) + sqrt(216))\/sqrt(6) + sqrt(72)\/(sqrt(6)\/sqrt(3)))\/(2*(sqrt(972) - sqrt(972)*-1))*-3.\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s. Let q(j) = -2*j. Let m(w) = -17*w**2 - 6*w. Let z(o) = -m(o) + 4*q(o). What is z(k(u))?\nAnswer: 272*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 0*u**2 + 2*u**2 + (5*u**2 - 3*u**2 - u**2)*(-4 + 3 + 0) + 4*u**2 - 4*u**2 - u**2)*(-4*u**3 + u**3 + 7*u**3).\nAnswer: -16*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w + 5 = 0. Let f(x) = x**2 + x. Let l(q) = -7*q**2 - 6*q - 1. Calculate w*l(v) - 5*f(v).\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1, -55, 99, 0.5, 1\/3, -0.33?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w - 2*x = -225, -w = -x - 216. Suppose -2*z = -z - w. Let g = z - 871\/4. Calculate the common denominator of g and -49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -6306?\nAnswer: 2\/3153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 4*v**2 + 2*v. Let y be k(-3). Let n be (-3)\/3 - -40 - y. Let r be 69\/n*-1 - -2. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 29 - 34)*(-7*g - 9*g + 5*g)*(4*g**2 - g**2 - g**2) to the form j*g + d*g**2 + o + c*g**3 and give c.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/825635 and -5\/36539.\nAnswer: 494555365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -7 + (-3 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.337 and -9592.\nAnswer: -3232.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -29.53 and 17.113.\nAnswer: -12.417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/5 (c) -10 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/39)\/((-41)\/(8528\/96))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 5*r + 6*r - 29, -2*b - 3*r = 73. Let v be 6*2 - (-1598)\/(-94). Sort b, v, 5, 2 in decreasing order.\nAnswer: 5, 2, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 8*f = 3*f + 88, -5*f - 290 = -5*q. Let t = 3 + 1. Calculate the remainder when q is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let n(h) = 8*h**2 - 7*h + 7. Let y(x) = 6*m(x) - n(x). What is y(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -29719.4 and 21.48723?\nAnswer: 29740.88723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2 + 2)\/(7050\/(-200) + 37). Find x, given that -8\/5 - 2\/5*x**a - 17\/5*x = 0.\nAnswer: -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/(2\/(-20)). Let u be (-3)\/2*(-2)\/h. Let f be ((-1)\/4 - (-290)\/(-696))*75\/50. Which is the third smallest value? (a) u (b) -1\/6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114772 and 3696?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j + 11. Let n be l(-8). Let s = 84 + n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 2\/13, 38, 0.1, 3\/22?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(52)\/(3*sqrt(64)))**2 - ((sqrt(13) - (sqrt(13) + -2*sqrt(325))**2) + sqrt(26)\/sqrt(2)*-1).\nAnswer: sqrt(13)\/3 + 152221\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**3 - 25*d**3 + 18*d**3.\nAnswer: -51*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*w = 60, 52*s - 40 = 4*s - 26*s - 2*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -145, 19, -896?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 56?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i - 3*y + 3 = 0, -8 = -4*i + y. Suppose -n = v + 1 - i, 3*n = 4*v + 6. Solve n*u = -3*k - k + 10, -10 = 4*u - 2*k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 11. Let w(c) = -c**3 + 7*c**2 + 3. Let p be w(a). Round p to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397956 divided by 13?\nAnswer: -30612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 3*w**2 + 2*w**3)*(w - 2 + 2) + w**4 - 4*w**4 + 4*w**4 + 34*w**4 - 9*w**4 - 16*w**4.\nAnswer: 12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8875651251414 and 0.1?\nAnswer: 8875651251413.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 1:46 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -x**9\/15120 - x**7\/63 + 4*x**4\/3 + 16*x. Let f(h) be the third derivative of j(h). Find the third derivative of f(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(9)*2)*-4.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8817 by 3.\nAnswer: -2939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/206, -109, 78\/25?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h - 4*h - 5 + 4 + (-5*h + 3*h + 9*h)*(4 + 4 - 4) in the form f*h + v and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1933 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 27*c = 5925 - 3547 for c.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -83\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -174 - -99. Let m = -1940687.00062 - -1940762. Let p = m + n. What is p rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13975 times -0.432\nAnswer: 6037.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose -32 = -v*b - b. Is 2 a factor of (2\/(-4))\/((-4)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*w + 13, 15 = 5*d - w - 0*w. Let g(i) = 2*i**d + 6*i**2 + i**3 - i - 5*i**2. Is g(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 - 2*v - 11. Let m(g) = 3*g**3 - g - 1. Let q be m(-1). What is the remainder when 117 is divided by n(q)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 4. Let j be 20\/(-70) - 60\/(-14). Let a be c(j). What is the third derivative of a*w**6 + 6*w**2 - w**6 - 3*w**2 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 * 1432\nAnswer: -58712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -66 + (-38)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from etteteqcce?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62014852 divided by 452.\nAnswer: -137201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004604495 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.4, 40, -0.5, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 175779 or 351557\/2?\nAnswer: 175779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -128908 divided by 2479?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 + 84*x - 288.\nAnswer: 3*(x + 8)*(5*x - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -479*i + 134708 = -3*i. Solve -64*o - i - 101 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.860282 rounded to two decimal places?\nAnswer: -17.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3*(-81)\/126.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -4\/7 (c) 0.609 (d) -1 (e) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16596735 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 + 284 = 38*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193*h**4 + 632*h**4 + 1 + 1503*h**4)*(-4 + 2 + 1)*(-3 - 2 + 6).\nAnswer: -1942*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 + 162. Let s = 398\/5 - v. Let p be (-2)\/8 + -18 + (-73)\/(-4). Which is the biggest value? (a) -2\/11 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/7, -2\/9, -6519, 4, 107 in decreasing order.\nAnswer: 107, 4, 1, 4\/7, -2\/9, -6519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/11, 164, 1, 0.18, -0.1 in decreasing order.\nAnswer: 164, 1, 0.18, -0.1, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -54 (b) -597862 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa + -60237?\nAnswer: -60314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(5\/8))**(-4\/9) assuming j is positive.\nAnswer: j**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 50*m**2 - 77*m - 124. Let c be v(-24). Which is smaller: c or 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10552 - 39*y - 12680 + 5*y.\nAnswer: -34*y - 23232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -10 + 18 + -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. What is the remainder when 12 is divided by h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -4000?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 648028 (base 12) to base 4\nAnswer: 12010020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/((y\/(y*y**20*y))\/y))))\/(y**(-3\/7)\/y) assuming y is positive.\nAnswer: y**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.6 in -0.3, 4\/7, 0.2, -1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n - 180*n + 335*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-95 - -102) + 0 + 4 + -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*d**3*z**3 - 264*d**3*z**2 - d**3*z - 2*d**2*z**3 - 17*d**2*z**2 - 3*d**2*z - 2*d**2 - 1642*z**3 wrt z.\nAnswer: -132*d**3 - 12*d**2 - 9852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (0 - 0) - 17. Let u = -9 - j. Let y be (-11)\/((-22)\/228) - (6 + -2). What is the greatest common factor of u and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 712, 1042, 1584, 2332, 3280, 4422, 5752, 7264?\n\"Answer: -y**3 + 112*y**2 + y + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11051 - 2?\nAnswer: -11053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 4\/3 (c) -569267 (d) -0.2 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 + n**3 - n**2 - 3*n + 1. Suppose 0 = 3*v - 6*v - l - 18, -l = v + 8. Let y = v + 2. Determine p(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 10:47 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2679033 and -15.\nAnswer: -40185495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(10\/11)*x\/(x\/(x\/x**(-2\/37))) assuming x is positive.\nAnswer: x**(799\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1698 + 5291. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 0 + 1*10. Let u = -184 - -446. Let d = -141 + u. Calculate the greatest common divisor of d and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**3 + 10160*h**2 + 5074*h + 634.\nAnswer: 2*(h + 317)*(4*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36.9 - 31.4. What is the fourth biggest value in -4, m, 0.1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 839275.9 centimeters?\nAnswer: 8392759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, 14\/3, 0.94, -5\/2.\nAnswer: -5\/2, 3\/4, 0.94, 4, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 45021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170*z = -73451 - 36407 - 106583 + 5951 for z.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 12537\/(-126) + (2\/4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + -9 + (-2 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7 + 3*k**3 - k**3 + k - k**3 + 6*k**2 - 2*k**3. What is m(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*d = 833*d - 432 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 11 - 3)*(0 + 0 - 2*g) + (14 - 8*g - 14)*(-2 - 1 + 1) to h + w*g and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -170069*p - 49305?\nAnswer: -170069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4992 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 16 = -56 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4 + 5 = 3*r, r = 2*k - 4. List the prime factors of ((-21)\/(-2))\/(k\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -563*c + 559*c + 173*c**2 - 174*c**2 - 33*c**4 - 2*c**3 in the form m + w*c**4 + l*c**2 + k*c**3 + q*c and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -10*b**2. Let f(j) be the third derivative of j**4\/3 - 2*j**3\/3 - j**2 + 4*j. Determine l(f(d)).\nAnswer: -640*d**2 + 640*d - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -339, -323, -307, -291, -275?\n\"Answer: 16*a - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2796*u + 6 - 2098*u to the form i + f*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9299727 by -1.\nAnswer: -9299727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736138847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156380 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from jtccg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 356 - 355. Let d be 6 - 5\/n - (0 - 0). Do -2\/53 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 38a39?\nAnswer: -38a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/13 - 38*r**4\/13 - 70*r**3\/13 + 62*r**2 + 840*r\/13 = 0. Calculate r.\nAnswer: -15, -7, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88 + -65. Calculate the remainder when f is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 0 - 50*m**3.\nAnswer: -50*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d. Suppose -50*t + 54*t = -4. Let x(i) = i**2 - 3*i + 1. Let b(m) = t*x(m) - 3*r(m). Let u(z) = -3*z**2 - z - 4. Give -4*b(s) + u(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 61817*t = 61793*t + 266, 4*m = -4*t + 40 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 72*t - 8)*(-9 + 22 + 8) in the form f*t + x and give f.\nAnswer: -1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -2*z**3\/3 - 5*z**2\/2 + z - 4. Calculate v(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.8 (c) 1\/5 (d) -2\/9 (e) 22 (f) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -225. Suppose 10*j - 70 = -a*j. Let p(o) = 6*o**2 - 2*o - 4. Let w be p(-3). Calculate the highest common divisor of w and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*(-1515)\/9595\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 30*l + 7\/66*l**4 - 4\/11*l**3 - 2 - 1\/110*l**5 + 0*l**2. Factor b(m).\nAnswer: -2*m*(m - 4)*(m - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -229 + 630. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 3*x**3\/2 + x**2\/2 + 8*x. Suppose 2*n + t = 0, n = 3*n - 3*t - 8. Give b(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689 (base 11) in base 7?\nAnswer: 23631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388725510*x**5 - 427739835*x?\nAnswer: -7774510200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/14 + 2*l**3\/7 - 9*l**2\/7 - 54*l\/7 + 99. Factor s(n).\nAnswer: 2*(n - 3)*(n + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h*h*h**(2\/5)\/h*h*h)))\/h)**(1\/26))**(-45\/2) assuming h is positive.\nAnswer: h**(-27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 7. Let r be (2 - y)*(-50)\/4. Let f be 20\/(-12)*2\/r. What is the closest to 0.2 in 3, f, -2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1206811575 divided by -241362315\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -3*i + i, 2*p = 5*i - 15. What is the smallest common multiple of i and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from zzzzzszqazzzxzqx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*s - 1 + (4 + 2*s - 4)*(-2 + 0 + 3) + 3*s - 2*s + s + (-1 + 0 + 2)*(-105 + 105 + 50*s) as w + l*s and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, z: 1, j: 2}. What is prob of picking 1 z and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.139 and 6.5135.\nAnswer: 0.9053765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*y - 12*y - 45*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1942*f - 68749 - 123052 + 5369 = 0 for f.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30097*b**3*l**2 + 5*b**3*l - 730*l - 1 wrt l?\nAnswer: 60194*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 <= -0.106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 340*y**2 + 140. Let g(r) = -22*r**2 - 9. Let k(n) = -140*g(n) - 9*x(n). Let i(v) = -16*v**2. What is k(i(m))?\nAnswer: 5120*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271614 and 1722?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 166, 1480, 2794, 4108, 5422?\n\"Answer: 1314*s - 1148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792*a + 2*a**2 - 1494*a + 747*a + 206*a**5 wrt a.\nAnswer: 12360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o + 1. Let d be 6\/4*(-30)\/3. Let m(k) = 24*k**3 + 3*k**2 + 15*k - 15. Let f(r) = d*z(r) - m(r). What is the third derivative of f(n) wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 86*r = 85*r - 15, 3*h = 3*r + 27. Solve h*b + 8*u - 9*u - 7 = 0, 4 = 2*b + 2*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4486\/15 + -17929\/60. Solve g**4 + 0*g + 0 + b*g**2 + g**3 = 0 for g.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**3\/3 - 2*i**2 + 7*i + 1. Let w be j(-5). What is the second derivative of -3*p + 2*p**w - 3*p**5 - 2*p**2 + 2*p**5 wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**2*s**2 - 2*m**2 - 1264*m*s - 5*s**2 wrt s.\nAnswer: 14*m**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrnr when four letters picked without replacement from {z: 1, x: 4, n: 4, b: 1, r: 4, q: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 201245 divided by 40249\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3)\/q)\/q)\/q**(2\/7))\/(q**(1\/3))**(6\/13)*q**1*q*q**(1\/4)*q**6*q**(-2\/7) assuming q is positive.\nAnswer: q**(6761\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/(-52) + (-20736)\/936 + 22?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/12)\/(2\/(-12)). Are 2 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 282 = 498. Calculate the remainder when 70 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 5\/3 (b) 1.6 (c) -8\/1687\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 718.32\nAnswer: -3591.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = 5*g, -5 = -a + 6*a + 5*g. Let j(y) = 4 + y - 3 - 2*y. Give j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from rscvvep.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -2*j**5\/95 - 3*j**4\/38 - 4*j**3\/57 - 16. Find a such that f(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653 (base 8) in base 7?\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, x: 8}. What is prob of sequence yy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2 + 1 + 1 - 4 + (-1 - 1 - 4)*(0 - 2 + 4))*(-18*j - 173 + 173).\nAnswer: 216*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 311711 - -4?\nAnswer: 311715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.147 (c) 0.3 (d) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17224110 - 4?\nAnswer: -17224114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4\/17, 5, 114.9, 1\/4 in descending order.\nAnswer: 114.9, 5, 1\/4, -4\/17, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.5 (b) 20 (c) 4 (d) -0.1481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -343 + 337 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 12 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (sqrt(500) + sqrt(500) + (sqrt(500) + 1 - sqrt(500)))*-6) + 0)**2.\nAnswer: 1560*sqrt(5) + 84536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150254?\nAnswer: 2, 311, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 726 + (-20)\/(-60) + 13\/(-3). What is the highest common divisor of p and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62 - 60)*1\/21\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1787.\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*s - 138, -3*s + 4*l = -2*s - 60. Suppose -3*k - 2*k + 690 = 0. Calculate the remainder when k is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55214052 (base 6) to base 2\nAnswer: 110010011000000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3124 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*j + 137, 0 = -5*u + j + 289 - 78. Let y = u - -3. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 58385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/41 (b) 13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 48. Let d = -31 - u. Let m be ((-4)\/d)\/((-2)\/(-6)). Let x(b) = 11*b**2 + b. Give x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -0.2 (c) 1 (d) -0.626\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130677045300 rounded to the nearest one million?\nAnswer: -130677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -9 + (5 - (-3 + 3)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 1, o: 2, g: 1, l: 1, v: 2}. What is prob of picking 1 g, 1 v, 1 x, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 = 2*f - 2, 5*r = 3*f - 22. Let u be r*(-3 + 2 + -1). Solve 3 = -p - 2*x, -3*x = u*p - 7*x for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -7 + 3 + 3 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1483 = 201. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 5*o. Solve -3*a + 11 + 1 = o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**5 + 2*y**5 + 2*y**5)*(6 - 1 - 3) - 2*y**5 + 0 + 0 + 2*y**5 + 0 + 0 + (-3*y**3 + 4*y**3 - 2*y**3)*(-y + y + y**2).\nAnswer: y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - 42.475.\nAnswer: -105.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -52*m + 1. Let g(p) = 256*p - 6. Determine 2*g(t) + 11*l(t).\nAnswer: -60*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3\/5 (b) 40 (c) -14\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959701484 to the nearest integer?\nAnswer: 30979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**3 + 14*d**2 - 15*d - 3. Let y(q) = q**2 + 2*q + 1. Let s(h) = -x(h) - 3*y(h). Solve s(f) = 0 for f.\nAnswer: 0, 1, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + ((sqrt(396) - (sqrt(396) + 1 + sqrt(396)))*5 - sqrt(396) - ((0 + sqrt(396))*5 + sqrt(396))) + (sqrt(396)*-2*3 - 3*sqrt(396)*-2))**2*-1.\nAnswer: 1728*sqrt(11) + 114120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133363, 266722, 400093, 533482, 666895, 800338, 933817, 1067338?\nAnswer: 1200907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 38*v - 109. Calculate y(-41).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -19. What is the remainder when 21 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-24))\/((-1)\/8). Suppose 4*v - 2*u - u = -4, 0 = 3*v - d*u + 10. Suppose 4*m = v*m + 18. Solve -2*c - m = c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 4 (c) 4\/3 (d) -1 (e) 25 (f) 3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9163 times 2392?\nAnswer: 21917896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029144 to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**2 - b**3 + b + 2*b**3 - b + (2*b**3 + 0*b**3 - b**3)*(-3 + 2 + 3) + 4*b**3 + b**3 - 3*b**3.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = -3. Let v be 0 - -14 - 3\/x. What is the greatest common divisor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12569 is divided by 64?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 15*q**2 + 12*q + 32. Let z be f(-16). Suppose 0 = 5*d + 66 - z. Let x(r) = -3*r + 8. Give x(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 34 = 71 + 251 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {t: 2, s: 1, x: 2, r: 1, z: 1, j: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 12\/23, 4 in ascending order.\nAnswer: -1, 0.5, 12\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2922 - a?\nAnswer: -2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16740997 rounded to the nearest 100000?\nAnswer: -16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 314 - 164. Find the common denominator of -63\/20 and (-915)\/20*2\/d.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -660330 divided by 110?\nAnswer: -6003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139300887?\nAnswer: 3, 11, 31, 12379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-5)\/(-10) + 3 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -230*c**3 + 2*c**2 - 3*c + 2. Let a be p(1). Let v = -209 - a. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) -5 (c) 3.87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4138 + -2446. Let d = i + -550. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pky when three letters picked without replacement from {y: 1, c: 2, k: 3, a: 5, p: 6, u: 2}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**4 + 4*v + 31668*v**2 + v**3 - 31665*v**2 + 20 - 4 in the form p*v**2 + j*v + t + h*v**4 + l*v**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -474.2681 to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -p - 12, -8*u + 11*u - 15 = 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396945 is divided by 921.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 140529862 divided by 2878\nAnswer: 48829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/81, -4, 2\/7, 1264, 4, 2\/5 in descending order.\nAnswer: 1264, 4, 2\/5, 2\/7, -2\/81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a**2 + 2*a + 1. Let d be b(-4). Let n = -114 + d. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -195.\nAnswer: -4\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 57. Suppose 74*t - p*t = 582. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + 2. Put -3, h, -0.3 in decreasing order.\nAnswer: h, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -738 - -1123. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120387 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94481.6t to milligrams.\nAnswer: 94481600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4, -4*d = -4*u - d + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -118.735 and 59.93?\nAnswer: -7115.78855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + 150*q**2 + 2636*q + 118. What is c(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 1. Let z(q) be the third derivative of -q**4\/24 + q**3\/6 - 39*q**2 + 2*q. Calculate j(n) - 2*z(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 6*m**2 - 7*m + 1. Let f be j(4). Suppose 4*d - 2*g + 35 = 7*d, 0 = -f*d - 2*g + 53. What is the remainder when 251 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:18 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6269612.98 take away -22?\nAnswer: -6269590.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + g)*(-4 - 5 - 1)*(0*g**2 - 5*g**2 + 3*g**2).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 3*t + 31 = 16*p, -23 = p + 3*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2436 + 707 - 8*x + 360 + x - 1418)*(3*x + x - x).\nAnswer: -21*x**2 - 8361*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491683 is divided by 298334?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m**4 + 15*m**4 - 46*m**4 + (2*m**2 + 4*m**2 - 4*m**2)*(5*m**2 - 4*m**2 + m**2) to g*m**2 + j*m + d*m**3 + a + s*m**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 26*o - 14. Suppose 5*t + 3 = 13. Calculate the remainder when 151 is divided by c(t).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 12*p**5 + 213068*p**4 + 3974200*p**3 + 19724120*p**2 + 10216188*p - 5746788 = 0.\nAnswer: -17737, -9, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6923 and 3381.\nAnswer: 145383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638082419.\nAnswer: 7, 109, 3457513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 113030676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24066 = -3*k - y - 24030, -4*y - 736 = -68*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460 + 2*p + 4*p - p - 4*p.\nAnswer: p + 460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/1395 and 26\/1395.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*c + 10. Suppose 0 = -3*y + x - 2*x + 4, x = 1. What is the lowest common multiple of c and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 2*y**3 + y**2 + 2 + y**3 - 2 + (4*y - 2*y - y)*(14*y**2 + 7*y - 7*y) to the form l*y**3 + s*y**2 + k*y + i and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15416 - 15394. Solve -n*y = -46*y + 168 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 17 = 5*a - 2*m, -2*a + 5 = 5*m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k + 1 + 9*k - 22*k to n + o*k and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 17 + 14 = -r + 4, 2*k = 12*r - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmmzzzzzmzzzzz. What is prob of picking 4 z?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 10*f + 3. Let u be h(10). Suppose -u*w + 26 = 8. What is the remainder when 10 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s + 1. What is q(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 14 = 4*v, -q = 3*v + 3*q + 6. Let t(o) = -2*o + 30*o**2 - 5*o**3 + o + 4*o**3 - 37*o**v - 5. Suppose 3*n + 3 + 18 = 0. Determine t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 12 = 5*h - 3*b, 1 = b. Solve -2*g - 4*t - h = -3*t, -g + 6 = 2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - r - 2*g + 106 = 0, 0 = -2*r - 5*g + 78. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 + 400*f**2 - 7268*f + 18096 = 0. What is f?\nAnswer: -116, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 4*j + 2*v + v, -55 = -4*j + 5*v. Suppose -4*r + 0 = -j. Suppose -r*f + f - d + 12 = 0, 5*d - 12 = -4*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:25 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402 = -41*a + 33 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**3 - 82*n**2 + 67*n - 572. What is i(20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/2? (a) 0 (b) -1\/5 (c) 4 (d) -1 (e) -0.1278\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 227014 + -2\nAnswer: 227012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 83301261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63990, -121157, -178324, -235491?\nAnswer: -292658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -638*q + 10845. Let b be y(17). Let o(c) = -78*c - 70. What is o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(10\/7))**(-33))**(-27) assuming z is positive.\nAnswer: z**(8910\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -70*y - 48. List the prime factors of j(-19).\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/30)\/(4576\/(-24200)) and 131\/540.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from mmxxxmmxxm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673214, -1346430, -2019646, -2692862, -3366078, -4039294?\nAnswer: -4712510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 2. Suppose 5*j = b + 4*j - 1, -j - 5 = -2*b. Let r be (b\/(-1) - -1)*1. What is s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 15. Let m be (-2)\/(-3) - ((-8)\/f + 2). Solve t + 0 + 3 = m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 - 2*o + 3. Let b be f(-4). Suppose -31*j + 109 = -15. Suppose j*v = -16 - 16. Sort -4, b, v in increasing order.\nAnswer: v, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (159132\/8 + -13)\/(-3 + 21\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 81 - 16 = 3*t, -4*t - 30 = -3*n. Suppose 2*p - 2*a + a = -6, -p - 13 = -3*a. Calculate the remainder when n is divided by (1 - p - 3)*-6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -84637 and 5?\nAnswer: -423185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*m + 1893 = 0, -2*j - m + 1899 = -0*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24019\/78736 - 68\/703. Find the common denominator of -41\/84 and z.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 551*l**2 - 145*l - 145. Let g(f) = -4*f**2 + f + 1. Let p(v) = -145*g(v) - t(v). Let h(d) = 5*d. Determine h(p(k)).\nAnswer: 145*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -71, -67, -61?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.1, 2\/239, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**3 + 22615*i**2 - 180635*i + 158025 = 0.\nAnswer: 1, 7, 4515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.89273 millennia to centuries.\nAnswer: 508.9273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 5:42 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581484552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 68. Let a(v) = 5*v + 70. Calculate 5*a(u) - 4*y(u).\nAnswer: u + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -8. Let q = -6 - h. Let s = 7 - 2. What is the highest common factor of q and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -42. Which is the second biggest value? (a) -5 (b) r (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 22*x**3 - x**2 - x + 5. Let h be n(-4). Let z be h\/(-30) - (-1)\/(-6). What are the prime factors of z - (0 + 1)*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/63448 and -97\/4120.\nAnswer: 317240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -173*a**3 - a**2 - a. Let v be z(-1). Round v to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10280)\/(-57825)*(-10)\/(-8). Find w such that 16\/9*w + 20\/9*w**2 + v*w**5 - 2\/3*w**3 + 0 - 8\/9*w**4 = 0.\nAnswer: -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -10*g + 5. Let z(w) = 5*w - 3. Let j(r) = -4*b(r) - 9*z(r). Suppose 4 = -t - 0. Let n be j(t). Calculate the greatest common divisor of 189 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/15? (a) -1 (b) -5 (c) -0.1 (d) 189\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7630.06um to kilometers.\nAnswer: 0.00000763006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1937723 centuries in months?\nAnswer: 232.52676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/8 + 11279*z**2\/8 - 127431*z\/2 - 203832.\nAnswer: (z - 48)*(z + 3)*(z + 11324)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuua when four letters picked without replacement from {u: 3, a: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*g\/g**8*g)\/(g**(-1)\/(g\/(g\/g**(-1\/10)*g*g))) assuming g is positive.\nAnswer: g**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:30 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202363.25 + -4658?\nAnswer: -1207021.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrryryryr. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-12)\/(-7) - 4). Which is the biggest value? (a) 0.3 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 34, -1\/4, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(36\/(-8) + 2). Let y be 3*v*4\/30. Solve -i + 2*p + 12 = -3*p, -9 = i + y*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6)*(-6724*q**3 + 164815*q**2 - 164815*q**2).\nAnswer: -20172*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + sqrt(125))*4 - sqrt(125)) + 1*-4*sqrt(125))*3.\nAnswer: -15*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 429078293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**3 - 1053*c**2 - 11492*c - 31260 = 0.\nAnswer: -1042, -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4838 divided by -154702?\nAnswer: 2419\/77351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*l + 1600, 0 = z + l + 3*l - 809. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 22*b + 223. Calculate r(-30).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 49, 74, 119, 190?\n\"Answer: g**3 + g**2 + g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84481216 bigger than 84481217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -43. Let r(w) = -w**2 - 6*w + 12. Let y be r(-7). Let o be -16*(y + (-60)\/8). What is the greatest common factor of g and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0164809g?\nAnswer: 16480.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4920?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 21 = -5*o. Suppose -5*p + 444 = -4*m + o*m, p - 90 = m. What are the prime factors of p?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2*c**3\/3 - 7*c**2\/2 + 7*c - 40. Let x be t(3). Solve -x*o = -4 + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:53 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3539949*t - 1519*t**3 - 3539949*t - 5*t**2 - 1 to n + b*t + i*t**3 + v*t**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 2\/3 (c) 0 (d) -1 (e) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-966)\/(-4) + ((-351)\/18)\/(-13). What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-3)\/2)\/(18\/108). What is the common denominator of i\/(-24) + (-790)\/(-176) and 58\/25?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - -1*sqrt(144)*-4)\/(sqrt(432) + (sqrt(432) - (2*(sqrt(432)*-2 + sqrt(432)) + sqrt(432)))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -25. Let t(l) = l**2 - 7*l + 2. Let d be t(m). Let p be 273\/93 + (-208)\/(-3224). Solve b - 3*f - 10 = p*b, -d*f = 3*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, f: 5}. Give prob of picking 3 n.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 224679.57 months in millennia?\nAnswer: 18.7232975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10480 and 463475380?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3925, 7269, 10609, 13945?\nAnswer: 17277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-1715709.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(-42)\/1008?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652181649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 2\/17, -3, -8, 2\/3 in decreasing order.\nAnswer: 2\/3, 2\/17, -1\/8, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 252*j + 0*j**3 - 83*j + 2*j**3 - 104*j**5 - 67*j**5 wrt j.\nAnswer: -3420*j**3 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 560 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3955384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -145. Suppose 0 = -y*o + 94*o - 16. Let q be 36\/24 + (-6)\/o. Solve -v + 3*a - 5 = q, -a - 4*a = -2*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 1\/9 (c) -5 (d) 44 (e) 14761\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9527534, -9527536, -9527538, -9527540, -9527542, -9527544?\n\"Answer: -2*p - 9527532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-950)\/50)\/((-2)\/(-3)*83\/166).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, o: 1, w: 3}. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 10. Differentiate l*h**2 - 16*h**2 + 8*h**2 + 6 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - 0.09. Let n = t + 2.95. Put n, -5, -2 in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)\/p**(2\/3))\/(p**(-3)*p*p**(-1\/7)*p))**(-11\/6) assuming p is positive.\nAnswer: p**(-671\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697400995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 13 + 7*f + 20 + 4*f**2. Let h be u(-7). What is the highest common factor of h and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*c - 20, -6*c + 4 = -7*c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 91*q + 2290. Calculate the remainder when b(-65) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*l - 57, 2*l + 12 = 6*l. Let h = p - -46. Suppose 4*d - h = -17. Solve -2 = -3*s + 7, -d*f = 2*s - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1080 and 20873652.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1097 + -1917?\nAnswer: -29b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 391?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g - 39*g + 18*g + (2*g - 2*g + 2*g)*(1 + 3 - 2) + g - 2*g + 2*g)*(16*g - 16*g + 7*g**2).\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -18*u + 49. Let v(i) = -103*i + 244. Let x(f) = 11*q(f) - 2*v(f). Give x(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1699 - 1406 + 2764 = 11*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*s + 3*s. Suppose -p + 9 - 2 = 5*l, 3 = 2*p - l. Suppose -p*d = -8, x - 4*x + 19 = d. Sort 4, x, s.\nAnswer: s, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8277b9 + -5b?\nAnswer: -827858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siii when four letters picked without replacement from sqissaqarsca?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8542 or -8544?\nAnswer: -8542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*u - r + 79 - 33, -8*u - 8*r - 80 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 + 213. Let i be x - 204\/(-10) - 4\/10. Solve 8*d - i = 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1047*w**2 + 2 - 7 + 5 - 697*w**2.\nAnswer: 350*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58575 + -4157. Let l = r - 2612215\/48. Calculate the common denominator of l and 35\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/212 or 0?\nAnswer: 69\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278190606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.5. Let d = o + 0.12. Let f = 4.02 - d. Which is the biggest value? (a) f (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.313842696 rounded to four decimal places?\nAnswer: 0.3138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26428652 is divided by 1776.\nAnswer: 1772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let a = 12 + -8. Let p be g(a). Let f(l) = 2*l + 12. Let o be f(-8). Sort o, -2, p in increasing order.\nAnswer: o, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 7)*(3 - 1). Let h = -7 + l. Suppose 4*i + h = -11. Put -2, i, 3 in descending order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + (47 - (-23 - -52)) + 34.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26404)\/2870)\/(((-12)\/(-5))\/6).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0612 + 85.1612. Let d = 85 - v. What is the second biggest value in d, 49, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 130633493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*j + 18 = -5*t - 453*j, 4 = -t - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18414952.\nAnswer: 2, 19, 121151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 82*z - 50. What is u(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 24. Let y be (-1)\/(-5) - 81\/c. What are the prime factors of (3\/6 + y)*8?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -5, 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264840062?\nAnswer: 2, 7993, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prdr when four letters picked without replacement from ppradprprvaapdppr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 + -21.254253277773?\nAnswer: -21.244253277773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 34. Is b\/6*3 - -372 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(-8)\/(2\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**4\/48 - 23*b**3\/2 + 4761*b**2\/2 - 413*b. Determine v so that y(v) = 0.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*d + 79 = 0, 2*h = h + d + 17. Suppose -r - 4*g = -14, 4*r - 3*g - 56 = -g. What is the highest common factor of h and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 2*q - 1. Determine g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 8:30 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2241 (base 5) to base 12.\nAnswer: -229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.336151 kilograms to micrograms.\nAnswer: 9336151000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from {k: 3, s: 4, e: 2, a: 2, r: 2, j: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0222 from -1978.58.\nAnswer: -1978.5578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 15) in base 4?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-10)*2*(-15)\/12. Let k = 2 - 2.1. Let z = k + -0.3. Which is the nearest to 2? (a) 4\/5 (b) z (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*d - 3*c + 13, 5*d - 15 = 5*c. Suppose -34*k = -32*k + 108. Let b be (k\/63 + (-6)\/(-7))*-1. Sort d, 4, 2, b.\nAnswer: d, b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2264379 divided by -3\nAnswer: 754793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-380)\/50 - 2\/5. Let l be s\/(-5)*(-50)\/20. Let c be ((-154)\/l)\/((-9)\/(-7200)). Round c to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 - c - 2. Determine o(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**3 + 42*l**2 + 60*l + 24 = 0. Calculate l.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2055*h + 201. Is l(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:47 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -1.3 in increasing order.\nAnswer: -1.3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.490771 - 20.638471. Let j = 18.846 + h. Let c = j + 1.3. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52.5 + 53.0361. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**3 - 11*c**3 + 26*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 - 0.7590137088?\nAnswer: 170.2409862912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.17 (c) 1\/4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 33 - 53. Let w be k\/312*(-159)\/(-106). Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a782a (base 13) to base 5.\nAnswer: -34134002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -1335, -1963, -2539, -3045?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15325158813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**(-10)\/(((f*f**(-16)\/f)\/f)\/(f*f\/(((f**14*f)\/f)\/f))))**(-2\/43) assuming f is positive.\nAnswer: f**(-32\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20164078 and 11?\nAnswer: 20164078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39780400436 - 39780399973.999998308. Let z = c - 462. Round z to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 5*q + q)*((-2*q + 5*q - 2*q)*(0*q - q**3 + 0*q) + (-2*q**3 + q**3 - q**3)*(-4*q + 9*q + 6*q)).\nAnswer: -138*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(126)\/sqrt(6))\/sqrt(3).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hujhuin. What is prob of picking 1 h and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbebbebe. What is prob of picking 3 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 309, 0.4, 0.3, 0.5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5 - 217005*s**4 - 5*s**3 - 150*s + 498154?\nAnswer: -40*s**3 - 2604060*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (70\/12)\/7 + (-8)\/(-45 + -3). Let r = -4 + 6. Let g be ((-8)\/52)\/(1*r). Which is bigger: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/11)\/(b**(-1)\/b))**(-1\/71)\/((b**(-2))**(-36)\/(b*b*b**(-1\/6)*b*b*b*(b\/b**3)\/b)) assuming b is positive.\nAnswer: b**(-328939\/4686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 minus 2651771303?\nAnswer: -2651771340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.507 + 0.147. Round g to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 22*b + 438. Let s be h(-6). Let l(v) = -145*v - 163*v + s*v. Let i(n) = -367*n**2. What is i(l(u))?\nAnswer: -1468*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*o + 14, 3*y + o + 3*o - 2 = 0. Let l be (-2)\/(-5)*(-10 - 0\/y). Let t = 15 - l. Calculate the remainder when 36 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**0*w*w*w\/(w\/(w\/w**(6\/7))*w))**34 assuming w is positive.\nAnswer: w**(510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1 + 2*d**4 + 2*d**2 - 2*d**3 + 7 to the form v*d**4 + f*d**3 + a + r*d + h*d**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5799 - -6618. Calculate the least common multiple of f and 90.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + -1 - 3*sqrt(8))**2*-4.\nAnswer: -36 - 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**3 - 11*b**2 - 20*b**3 - 3*b**2.\nAnswer: -43*b**3 - 14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (-7)\/(12691\/(-11704)). Let j = l - -1\/37. Let t = -0.3 - -0.3. What is the closest to 2\/13 in j, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 14 = -3*t, -4*t - t = -o - 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0697 + -0.03763. Round j to 3 dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -13, -38, -75, -124, -185?\n\"Answer: -6*r**2 + 5*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:58 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 10*o**2 - 66*o - 1. Is y(-7) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36403675 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*w + 10 = 0, 8*w = 2*v + 4*w - 10. Find the third derivative of -7*y**2 + 0*y**2 - 7*y**3 + v*y**3 - 3*y**4 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44492 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 17*y**2 - 19*y - 2. Calculate i(-18).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 768*h - 12*h**4 - 512 - 424*h**2 + 1\/2*h**5 + 106*h**3 = 0.\nAnswer: 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 2*t - t + (-11605 - 11811 + 23228)*(-13*t + 1 - 1 + 4*t).\nAnswer: 1690*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 8, c: 6, f: 1, r: 3}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let a(z) = -21 - 14 + 39 - 14 - 2*z. Give c(a(o)).\nAnswer: 4*o + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317359301053.0299908 - -317359486547. Let h = i + -185494. Let n = -0.03 - h. What is n rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.8 + 11. Let b = q - -0.3. Let v = 0.072 - 2.072. Sort -4, b, v in decreasing order.\nAnswer: b, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000106078 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*g**3 + 20*g**2 - 16*g**2 + 2 - 2*g**2.\nAnswer: 366*g**3 + 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))**(-1\/2))**(-4\/13) assuming s is positive.\nAnswer: s**(3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11462 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 5402 + 5402.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1930322 = 1291*l - 1797349 for l.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - 114. Suppose 2*p - 45 = 35. What is the tens digit of 1 - p*(v + -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -22. Suppose 0 = -2*p + 10, 2*m + 5*p = -2*m + 25. Suppose -5*c = -5*r + r - b, m = c - 5*r + 4. What is the highest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118 - 58 - 58 + 15*b)*(2 + 1 - 2).\nAnswer: 15*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at most as big as 56891.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4*sqrt(133))\/sqrt(7) + sqrt(19))**2.\nAnswer: 10*sqrt(19) + 476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - i - 1. Let h(a) = a**2 + 2*a + 4. Determine -h(g) - 3*m(g).\nAnswer: 2*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1003410 - 141?\nAnswer: 1003214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 125423352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - q**3\/2 + 3*q**2\/4 + 2*q + 1.\nAnswer: -(q - 2)*(q + 1)**2*(q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(84) - sqrt(84))*-3 - (sqrt(84)*2 + sqrt(84))*-5)\/(-2*sqrt(192)*-6).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/13))**(-24)\/(((x\/((x\/x**(4\/5))\/x)*x)\/x)\/(x\/(x\/x**(13\/4)))) assuming x is positive.\nAnswer: x**(-583\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*n + 317, 125 = 2*o + 908*n - 905*n for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 21*n**2 + n - 3. Let o be j(-2). Let b = 132 - o. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 11, f: 3}. What is prob of sequence wff?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppzwprryrwypprrpr. Give prob of picking 1 z, 1 p, and 2 y.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4880 - 908. List the prime factors of c.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*i + 26*i = -728 - 728. Solve -26*k + 432 = i*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/15*-9*95\/342.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (9 - 2) - (19 - 2)) + 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 5826870?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313636 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1647473517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2 + 45*d + 1. Let o(m) = 4*m**2 + 44*m + 2. What is 4*o(b) - 3*s(b)?\nAnswer: -2*b**2 + 41*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 195 (b) -3 (c) 0.11 (d) -0.5 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -232.5.\nAnswer: -237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 23349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 48. Let n = 72 - 89. Let t be d(n). Sort 2, t, -4, -5 in decreasing order.\nAnswer: 2, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -40, 0, -1, -5 in decreasing order.\nAnswer: 0, -1, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8981 and 6.\nAnswer: 53886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11\/5, -5, -3\/5, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 40365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(((-14)\/(-2))\/(-7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(96)\/sqrt(4))\/sqrt(4))\/((sqrt(48) - (sqrt(192)*-2)\/sqrt(4)) + sqrt(48)).\nAnswer: -sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 280141804 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 5:13 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -124*g**2 - 366*g - 2. What is r(-4)?\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92639373 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 26*a**2 - 26*a**2 - 67*a**2.\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 + 4*m**2 + m + 6. Let l(t) = -2*t + 11 + 7*t**2 - 7*t**3 + t + 0*t + 2*t. Let o(d) = 5*b(d) - 3*l(d). Give o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most 1287057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6683 or 6680?\nAnswer: 6683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 1, k: 1, h: 1, s: 4}. Give prob of sequence dh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 15*a**3 - 22*a**2 + 7. Let d(g) = 14*g**3 - 21*g**2 + 6. Let q(z) = -7*d(z) + 6*j(z). Find the third derivative of q(x) wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329135 and 315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + w**2 - w**3. Let z be c(1). Let j be (z - -2)*-1 + -319. What is j rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79660295 or -79660293?\nAnswer: -79660295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451440 - 1231?\nAnswer: -453111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/52)\/((-5)\/(-6)). Let h be 8 + 8\/(2 + -4). Let p = -3 - -2.96. Which is the second biggest value? (a) q (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 + 3*t + t**2 + 2*t + 4 - 5*t**2. Suppose 2*i + 3*i - 19 = s, -4*s = 2*i - 12. Give l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 10*r**2 - 4*r + 9. Give i(-8).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgh when three letters picked without replacement from ngtnnnhnnnnnnttnt?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40129?\nAnswer: 40129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 288 + -284. Solve r*p + 3*m + 16 = -4, -5*p = m + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68*-415051\nAnswer: -28223468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 3 + 3)*(2 - o - 3 - 5).\nAnswer: -2*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, 50\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 4 - 4*q - q + q**2 + 3*q. Let r be t(-4). Let g be 0 + (-1 - -1) - -12. What is the highest common divisor of g and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2967)\/(-1380))\/43*16\/18.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 51.037?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 364 = 25*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 19. Let u be (12\/v)\/((-1)\/26). Let a = u + -21. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 6:30 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 5:56 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y. Let z be (-14)\/(-7) - (-2 - -1 - 0). Let i(o) = 2*o**2 + o + 2*o - z*o. What is i(x(p))?\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let d(h) = 6*h**2. Let c(j) = -j**2 - 2*j**2 - j**2. Let r be 1*(-1 - (-3 + 9)). Let p(l) = r*c(l) - 5*d(l). What is t(p(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 5, 0.04, 3, -75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6*f - 1856. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -969, -968, -967, -966, -965?\n\"Answer: l - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:16 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a**2*t**2*u**2 + 4*a**2*u**3 - 2*a*t**2*u**3 - 4*a*t**2*u**2 + 2*a*t*u**2 - t*u**3 wrt u.\nAnswer: 24*a**2 - 12*a*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from crnfo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6702*f - 120860. Give l(-18).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 + 20*v + 1. Let p = -62 - -82. What is the least common multiple of p and g(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 187 + 84 + 103.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2646 + 1357. Which is smaller: h or -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 186 = 2*c. Let d = 51 + c. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/44)\/(16\/(-88)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -1\/3 (c) 134 (d) -1\/4 (e) 0.5 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1332 - 10*b - 642 - 549 as r + w*b and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-24)\/(-2)*(-15)\/(15\/(-16))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -595 - -543. Let s be o\/(-22) - (-12)\/(-33). Solve 5 = s*h + 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160487 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y = -2884. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4455666 - 6?\nAnswer: -4456005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16285010 to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64*g**3 + 132*g**3 + 6*g + 30*g**5 - 68*g**3 wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-49 - 24) + 35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g = 19*g - 2*w, -w - 11 = -5*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6590389, 13180776, 19771163, 26361550, 32951937?\n\"Answer: 6590387*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -22, -12, 18, 74, 162, 288?\n\"Answer: q**3 + q**2 - 14*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z - 9. Calculate the lowest common multiple of 7 and f(4).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-5))\/(1\/20). Is (-2979)\/(-24)*a\/9*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 639*q**3 - 3096*q**2 - 5028*q + 7488 = 0 for q.\nAnswer: -2, 1, 6, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11, 7, 37, -266, 2 in increasing order.\nAnswer: -266, -9, 2, 7, 11, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 6, p: 4, x: 6, t: 1, z: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11547*j**3 - 6*j**2 - 6*j - 3. Let s be d(-4). Is 1 + 10\/(-14) - s\/(-273) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 258\/295?\nAnswer: 258\/295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9507614 or 237690348\/25?\nAnswer: 237690348\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2814*h**2*p**3 - 76*h**2*p**2 + 12*p**2 wrt p?\nAnswer: 16884*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -70713579167.\nAnswer: 70713579170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 3. Let s = -23 + 22.8. Do s and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z - z + 6*z. Let n be w(-3). Let s = -3 - n. Which is the second smallest value? (a) -0.2 (b) 3\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11339547 is divided by 1619933.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.003 and 12678744823.\nAnswer: 12678744821.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 12. Let i be b(4). Does 2 divide ((-1)\/(-2))\/(4\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-5*(2*(-1 + sqrt(448))*4*-6)**2.\nAnswer: -921600*sqrt(7) + 25862400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25120000 rounded to the nearest 100000?\nAnswer: 25100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120488829 to the nearest integer?\nAnswer: 10977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d - 1. Let k be v(1). Suppose k = -9*f - 9*f. Does -2\/395 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(136 - 180 + 421 + 185)*(-9*v**2 - v**2 + 2*v**2) to the form s*v + n + y*v**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2059482, 2059461, 2059452, 2059461, 2059494, 2059557, 2059656?\n\"Answer: j**3 - 28*j + 2059509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 653 + 0.5.\nAnswer: 653.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14818.61l to millilitres.\nAnswer: 14818610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 148. What is the least common multiple of t and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4543*p + 924928 = -2683*p for p.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -107*y - 1497. Let w be q(-14). Which is the closest to 0.1? (a) 3\/47 (b) -1 (c) w (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 - 5*a)*(-1 - 2 + 2) + (4 - 6 + 1)*(2 + 4*a - 2).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.35 + -2.4. Let f = h - 31. Let d = 0.45 + f. Which is the nearest to 0? (a) 4 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 106017552.\nAnswer: 106017552.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, l: 2, s: 5}. Give prob of picking 2 l and 1 s.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 4*g**4 - 3*g**3 + 3*g**3 - 6*g**4 - 4 - g**2 to the form i + u*g**3 + f*g + q*g**2 + d*g**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 8131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + y = 5*y - 20, 3*w - 4*y = -20. Solve -4*x - 2*j = 3 - 5, w = j + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1117 less than 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3693378 decades?\nAnswer: 0.003693378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 2, e: 5, a: 3}. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2141 and 39.\nAnswer: 39.2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:37 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 0*m**2 + 5*m**2 + 3*m**2 - 9*m**2. Let i be u(-1). Solve -16 = -4*p + r, 2*p + i*p - 30 = -5*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2*a + 16 = -0*h, 4*h - a = 17. What is the units digit of h\/12*-2*-6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 13. Solve -3*j + 5 = -2*h, j - v*h + 20 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11799.27 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/2)\/(6\/72). Suppose -b = -9*b + p. Solve -5*s = -5*y - 30, -y + s = -s + b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z - 579 = -25*z + 9*z + 474 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-36)\/(-396) + 2069\/(-31350) and 43\/10.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 56 = 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13431411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*v**3 + 2664*v**3 + 16114*v**3.\nAnswer: 19022*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 840 divided by 5.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -200*a + 11795. Let n be c(59). What is the closest to 1\/5 in -35, n, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (3 - 9)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 2. Let j be s(-3). Solve -j*r = -10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 + 3. Let x(c) = -7*c**3. Suppose -2*l = -4*l - 12. Give l*k(f) - x(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 12:28 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 577883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12542 - -413924\/33. Let i = -7584\/9229 - -3\/839. Let s = i + y. Sort s, -0.4, 0 in decreasing order.\nAnswer: s, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -154. What are the prime factors of a?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o + o**3)*(o**2 + 0*o**2 + 11 - 1).\nAnswer: o**5 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y - 10 = 19*y - l, -2*y + 4*l = 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72101633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 93745.19 kilograms?\nAnswer: 93745190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 530, 796, 1062?\nAnswer: 1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + d**3 - d**2)*(0*d**2 - d**2 + 9*d**2).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3b9a (base 12) to base 16\nAnswer: 1ae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -45. Calculate the greatest common factor of 36 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -70, -60, -46, -28, -6, 20?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 669699 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 4339333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = -j + 1017, l - 238 = 3*j. Let n = 15 - 13. Suppose 2*i = n*x - 3*i - 46, 0 = -i. What is the highest common divisor of l and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 30?\nAnswer: -13\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228724 and 17344.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + (-12)\/(-16). Let k(h) = 2 - 5 - 5 - 8*h**2 - w + h**3. Suppose -2*l = 21*i - 20*i - 14, -50 = -5*l + 5*i. Calculate k(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 387*v**3 + 723*v**3 - 43113 + 42101 wrt v.\nAnswer: 3330*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -88*p**3 - 3*p**2 - 6*p + 146. Let g(t) = -88*t**3 - 4*t**2 - 8*t + 146. Let k(x) = -3*g(x) + 4*i(x). Differentiate k(o) with respect to o.\nAnswer: -264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2314.9441 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 3*v + v - v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - d = -o + 3, -3*d = -3*o + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**4 + 4*d**3 - 3*d**2 - 3. Let x(t) = 6 - 2*t**2 - 3 + 3*t**3 - 5 + 3*t**4. Let q(r) = 2*s(r) - 3*x(r). Let q(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k - 3. Let c(l) = -l - 1. Let y = 16 - 7. Let n be ((-5)\/5)\/(1\/y). Let h be (6\/n)\/(2\/(-3)). Give h*t(j) - 3*c(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 30. Let h(q) = 80*q**3 + q**2. Is 15 a factor of h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*m = -403, 5*w + 186 = m - 220. Let y = w + 89. Find the first derivative of -y*f - 25 - 8*f + f wrt f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 13*m**2 - m - 33. Let o be l(-6). Does -9 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -2*p - 5*o + 588, 0 = -5*o + 15. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922.7337 rounded to zero dps?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67319 by -413.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 332661782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, p: 7}. Give prob of picking 1 p and 3 c.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.1 - 3. Let g = 56 + -56.3. Which is bigger: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7))**(-28\/3) assuming n is positive.\nAnswer: n**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -110*z**2 - 393*z + 783. What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 0.8. Let m = d + -8. Let f = 9 - 8. Which is the second biggest value? (a) m (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k. Let n(b) = b**3 - 3*b**2 - 16*b + 3. Let w(q) = -n(q) - 5*y(q). Let a be w(5). Let 16*l + 8 + 4 + 6*l**2 + 4 - a*l**2 = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20\/9, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k = -4*j + 284, -4*j = -k - 293. Let s be (-1 + 1)\/(8\/8). Suppose g = -s*g + j. What is g rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20389*p**5 + 78*p**3 - 4*p**2 + 1643709*p - 10 wrt p?\nAnswer: 407780*p**3 + 468*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15215\/8 smaller than -1903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(5146\/83))\/(2\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -4. Let a = 14.2 + -0.2. Let k = 12 - a. Sort p, 2\/9, k in decreasing order.\nAnswer: p, 2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -25*g + 0*g + 26 + 32 + 19. Let s be i(3). Solve -5 = -3*r - s*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 - (-4 + -4 + 2 + 65 + -67).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 2 = -21 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -23. Let y be a\/(75\/(-36)) - 3. What is the closest to -1 in y, 0.4, 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 905 + -21707\/24. Calculate the common denominator of 121\/6 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10089*t**4 - 132*t**2*y**3 - 3*t**2 - 3*t*y**3 - 11*t + 1675107*y**3 wrt t?\nAnswer: 121068*t**2 - 264*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let y = -8 + 5. Let w = y - -2.5. Which is the smallest value? (a) w (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 139*t - 9. What is s(-4)?\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 894.\nAnswer: -13\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21243 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 71, 68, 63, 56, 47?\n\"Answer: -o**2 + 2*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.12 (b) 1495 (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u - 26. Let h be z(5). Let t(d) = -d**3 + 7*d**2 + 2*d + 2. Let i = -8 - -15. Let n be t(i). What is the greatest common divisor of h and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2396*k + 2406. What is p(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x + 9. Let w(j) = 3*j - 5. What is -3*d(g) - 5*w(g)?\nAnswer: -3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2 - 1 - 329*o**2 + 328*o**2 - 7*o. What is t(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010100 (base 2) in base 3?\nAnswer: -1221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 13, -3, -37, -95, -183?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 13. Let g be a(18). Solve -21 = g*k - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 6. Let i = g + -3. Let y = -1 + i. Sort 5, -3, y in ascending order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -127, -204, -299, -418?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5731, 5706, 5655, 5572, 5451, 5286, 5071, 4800?\n\"Answer: -v**3 - 7*v**2 + 3*v + 5736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -9, 2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12077 + -54?\nAnswer: -12142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 67705919969365 take away -5?\nAnswer: 67705919969370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58 + (-4 + 3)*-2. Let b be (1 + -2)\/((-6)\/d). Solve -2*o = 3*o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2694 - 2690 - 5315*q + 8070 - 2686 as t*q + s and give t.\nAnswer: -5315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 356212349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26109119815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811218 is divided by 542?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8057 and -0.52369.\nAnswer: 8056.47631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 1211 - 5359. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 597*a - 28360. What is m(52)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -319*l**4\/2 + 505*l**3 - 723. Find the third derivative of a(m) wrt m.\nAnswer: -3828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3047, 0.5, 0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 9*u + 3. Give h(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13217\/499 or -25?\nAnswer: -13217\/499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:46 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m + 27 = 0. Suppose -11*o + m*o = -126. What is the highest common factor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**4\/12 + a**3\/3 + 36*a**2 - 15*a. What are the prime factors of s(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15198 at most as big as -15198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-25)\/(-120)*18\/20?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6915, 13823, 20731, 27639, 34547, 41455?\nAnswer: 48363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -233?\nAnswer: -3\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, w: 4}. Give prob of picking 2 w and 1 o.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*x**2 - 54*x**2 - 27*x**2.\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:41 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 3:13 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z + 22*z + 432 = 0. Let q be 39\/(-24) + (-3)\/z - -34. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, z: 1, a: 1, u: 1, r: 1}. What is prob of sequence lrua?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -4*j + 3*j - 5*k, 4*k - 4 = -4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 - 1\/30*d**5 + 0*d**2 - 7*d + 5\/6*d**3 + 1\/4*d**4 - 1\/180*d**6. Let m(s) be the second derivative of j(s). Factor m(x).\nAnswer: -2*(x - 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/14274 and 17\/20.\nAnswer: 142740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*p - 20. Let s be 6 - (-8 - p)\/(-1). Solve -4*i + 8 = s*y - 0, 2*y + 3*i - 8 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-13)\/104*10). Which is the biggest value? (a) 10 (b) 4 (c) s (d) 1\/7 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285424731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvhq when four letters picked without replacement from {m: 1, q: 1, h: 1, w: 1, v: 1, p: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - 5\/3. Let x(d) = -25*d. Let m be x(i). Suppose -f - 4*f = -m. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7 = 2*q - 2*b, 0 = 3*q + 5*b - 20. Suppose -2*i = -2*a - q*i - 283, -574 = 4*a - 2*i. Let k = a - -73. What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4093, -5, -1, -3, 2, -14, -4.\nAnswer: -14, -5, -4, -3, -1, 2, 4093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.87 * 67\nAnswer: -58.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226309, 226304, 226301, 226300, 226301?\nAnswer: 226304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -69220884*o**2. Let j(w) = -2*w. What is h(j(f))?\nAnswer: -276883536*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -417*i**2 + 500 + 939*i**2 - 500 + 392*i**2 in the form f*i + z + n*i**2 and give n.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15902441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -18. Solve 2*n = 2*v - v - 9, 3*v - 4*n = r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*u - 14 - 2 + 1389*u - 26 + 42.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150\/(((-8)\/10)\/((-6)\/15)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.14 - 0.14. Which is the closest to 1? (a) 0.1 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4) + 3 + -4. Let m be ((-2)\/k*-2)\/((-3)\/81). Let i = m + -11. Solve 3*p + i = 5*f, -f = -4*f + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -66*u**3 + 367*u**2 - 307. Find the second derivative of y(i) wrt i.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -52 (b) -2\/7 (c) 0.027 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1894 + 4416. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1. Let t(w) = 3*w**2 + 6*w + 6. Let l(k) = 6*p(k) - t(k). What is the second derivative of l(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -4*k**2 + 11*k - 12. Let g(q) = 3*q**2 - 11*q + 12. Let x(o) = 2*c(o) + 3*g(o). Let h be x(10). Solve -h*f + 0 + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 282*g**5 + 58*g**4 + 23375*g + 3.\nAnswer: 5640*g**3 + 696*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1377 (base 9) to base 12\nAnswer: 72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.4 + -4. Let z = -64 + 316\/5. Which is the second smallest value? (a) -2\/5 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 + 2*y**2 - y - 2. Calculate l(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1524 - 5228 = -2*w, 4 = -v. List the prime factors of w.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)*o)\/((o\/(o*o\/(o*o\/(o*o\/o**(-1\/3)))))\/o))\/((((o\/(o*o**(-1\/2)*o))\/o)\/o)\/o*o)**(15\/7) assuming o is positive.\nAnswer: o**(113\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -25*s**2 - 4. Let l(g) = -8*g**2 - 1. Let m(u) = -4*i(u) + 11*l(u). Is m(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6281 + 163325\/26. Let u = b - 3\/13. Is u at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -17*x**2. Let u(t) = -2*t - 17. Calculate u(c(y)).\nAnswer: 34*y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8402580 * 0.3.\nAnswer: 2520774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -24. What is the nearest to b in -0.3, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 507 + -2533\/5. Let r = 141\/92 + -3\/92. What is the closest to -0.2 in b, 2, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 63. Which is greater: f or -35?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*s = -5, 2*s - 3*s = 3*d + 14*s - 69 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*u = -0*u + 44, x - 3*u = 27. Calculate the greatest common divisor of x and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(56\/440*(-130)\/(-364)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 385 + -494. Let v = m - -109.22. Let s = 3 - 2. Is v smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.5924 and 127.\nAnswer: -710.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*g + 231*g + 31197 - 70997 = 0 for g.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**3 + 39*j**2 - 37*j + 15. Let k be n(12). Solve -7*a = -10 + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:14 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g + 27. Let t(s) = 1866*s. Determine t(j(i)).\nAnswer: 5598*i + 50382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -1, -3, 85.\nAnswer: -57, -3, -1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 1496*f + 559504.\nAnswer: (f - 748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -36. Let a(h) = 5*h**2 + o*h**2 + 4*h**2 - 6*h**2. Let l(y) = 2*y. Give l(a(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Solve n - 8 + 3 = h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3398.4 + -3398. What is the closest to 0.07 in 1\/2, r, 2\/13, -53?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppbppp. What is prob of picking 2 p?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 50 + 4393*l + 11 - 57 to the form f*l + n and give f.\nAnswer: 4393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:27 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22077*p = 22070*p - 122 + 3 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*f**2 - 482*f**3 - 2100*f**2 + 1047*f**2.\nAnswer: -482*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 0. Let x = 1 - l. Solve -5*c = -2*g - 17, -16 + 5 = -x*g + c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115103731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**3\/3 + 3*k**2\/2 - k. Let x(z) = -z**3 - 4*z**2 - 5. Let o = 10 - 14. Let i be x(o). Determine u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (0 - 6 - -1) + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:40 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.5069mm in nanometers?\nAnswer: 610506900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3525 and 1109670.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7290\/173 at most -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13348856*i - 16995655?\nAnswer: -13348856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*m - 0*m - 3*q, q - 19 = -3*m. Let p be (m\/1)\/((-4)\/(-10)). Suppose 2*z - 71 = p. Calculate the remainder when z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 16*j - 20. Let t be a(14). Let t*q**3 - 2*q**3 - q**2 - 2*q**2 - 3*q**4 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7583?\nAnswer: 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2376 + 3359. List the prime factors of a.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (-5 - -4)) + 224 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**2*x**3 - 27*p**2*x**2 + 3*p*x**3 + 19*x**3 wrt p?\nAnswer: 12*x**3 - 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, -16, 5, 4 in increasing order.\nAnswer: -16, -4, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -870 - -1250. What are the prime factors of q\/24 + (-1)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176143 - -8?\nAnswer: -176135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 10*o = 11*o + 24, 5*m - o - 60 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a**2 - a + 1. Suppose -g - b - 1 = 0, g - 4*b = b + 11. Let k be i(g). Suppose -k*f + 30 = -50. Solve 3*u - f = -4, -2*h = -u - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1256735, -2513473, -3770211, -5026949, -6283687?\n\"Answer: -1256738*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -8. What is the remainder when 778\/y - (-3)\/(-12) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + g**3 + (-5*g**3 + 2*g**3 + g**3)*(3 + 2 - 3) - 2*g**2 - 2*g**3 + 2*g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11573069 (base 10) to base 11\nAnswer: 6595022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -27*k + 101. Let x be r(3). Calculate the greatest common divisor of x and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 3. Suppose 2*z - 5*i = 6, z + 2*i - 3 = -i. Calculate p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222112120 (base 3) to base 15\nAnswer: b870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14*a - 41. Let c = 6105 - 6107. Calculate y(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*g**3*r**3 - g**2*r**2*y**2 - g**2 - 6*g*r**3*y**2 + g*r**2*y - 11*r*y**2 wrt g?\nAnswer: -168*g*r**3 - 2*r**2*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0109 + -0.2779. Let m = 0.145 + h. Let a = -0.708 + m. What is a rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 596465 and 1305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26184?\nAnswer: 2, 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 4505*g**2 + 3*g + 4470*g**2.\nAnswer: -35*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 6 + 4)*(t - t - t**2) + 0*t**2 + 3*t**2 - t**2 + (-4 + 3 + 4)*(7*t**2 - 8*t**2 - 7*t**2) as a*t + v*t**2 + i and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 = t. Let q = t - 7. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -7*v. Let s = 31 - 15. Let q = s + -10. Let i(w) = 2*w + q - 3 - 3. What is i(k(f))?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a - 4*h + 45, 2*a + 3*h - 30 = 0. Let k(d) be the first derivative of -2\/3*d**3 + a + 0*d**2 + 0*d. Let t(v) = 11*v**2. What is k(t(z))?\nAnswer: -242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1402 + 1414. Which is the closest to f? (a) 7 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 8*q + 18. Let r be t(10). What is the common denominator of (r - (2 - 2)) + 144\/(-27) and 29\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7179 + 7179 + 1648*h - 72*h as v*h + k and give v.\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/14 and -85\/724.\nAnswer: 5068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + 1 + 4) - (-4 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3)\/l)\/l)\/l**(-1\/11))**(5\/9))**(-11) assuming l is positive.\nAnswer: l**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 0*f**4 - 3*f**4 + (f + 0*f + 0*f)*(-f + f - 5*f**3).\nAnswer: -10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1. Let x(t) = 3*t - 4 - 1 - 2*t. Let w(p) = 3*g(p) - x(p). Differentiate w(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -24*q + 17. Let m(d) = 3*d - 2. Let b(z) = 6*g(z) + 51*m(z). Let r(o) = 2676 - 2676 - o. Determine r(b(w)).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1537274295 + 1537274295 - 8*x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4\/7 + 5\/21. Suppose 6*w = 3*w. Let j be w\/1 - 0\/(-1). What is the third biggest value in p, 1\/3, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.93 - 30.93. Let s be 32\/(-10) - 15\/(0 + -5). Sort u, s, 3 in increasing order.\nAnswer: u, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {p: 1, m: 2, l: 2, n: 4, o: 5, a: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 0.2 (c) 1\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohth when four letters picked without replacement from rryothuh.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 1)*(d + 0*d + d) - 4*d + 2*d + 3*d)*(-49 + 321 + 0).\nAnswer: 1360*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/9)\/(345\/(-1242))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-168)\/(-48)*(50\/35)\/1. Let c(n) be the first derivative of 1\/4*n**4 + 3\/2*n**2 + 34 + o*n - 4\/3*n**3. Calculate c(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4784 - -4695. Suppose z - 178 = 2*v + 3*z, -z = -5. Let t = v + p. What is t rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/30 - -6)*4\/6*792\/176?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 + 2*d + 8. Suppose 52 = 11*y - 14. What are the prime factors of i(y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67871 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 6*v**3 - 3*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 10*u**2 + 7*u - 8. Let b be f(-9). Let c be ((-156)\/b)\/((-24)\/800). Suppose -c = -4*q - 148. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, e: 2, i: 4}. Give prob of picking 2 i.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1542620?\nAnswer: 2, 5, 137, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) 2\/3 (c) -19 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -612 - -580. Let z(f) = 24*f - 32. Let v(s) = s - 1. Suppose 3*r = 1 + 2. Let l(w) = b*v(w) + r*z(w). Let t(y) = 2*y**2. What is t(l(h))?\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.035 and -2.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 732403\/11 - 1025364357\/15400. Let m = 139\/175 + y. Let l = -10\/11 + m. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 6*u + 3 - 1 - 6. Let v be d(1). Put v, 1, -1 in decreasing order.\nAnswer: v, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1890)\/(-714) - (-17 - (-6 + (-3077)\/289)). Let l be (0 + (-8)\/10)*-2. Factor -2\/5*x**5 - 16\/5*x**2 + 0*x + l*x**h + 0 + 4\/5*x**4.\nAnswer: -2*x**2*(x - 2)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**5\/20 - 7*k**4\/12 - 5*k**3\/3 - 23*k**2\/2 - 10*k. Let r be d(-6). Is r\/((-7254)\/1814 - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = 3*b, 4*b - 4 + 31 = -5*t. Let i = 0.97 + 0.03. Sort i, -2\/7, b in decreasing order.\nAnswer: i, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -522000 + 37?\nAnswer: -521741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2651841.\nAnswer: 3, 294649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 1\/2*j**2 - 10 - 2*j. Let a(l) = -l + 1. Let d(i) = -i - 11. Let b be d(-8). Calculate b*u(x) - 4*a(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*u + 128*u + 108 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2283 - -5560. Let z = n + -13009\/4. Let u = 241\/4 - z. Calculate the common denominator of -8\/5 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 72*m = -75*m - 14, -2*i - m - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 5*x + 3. Determine z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -19) + -29 - (5 - -7).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 35525568*r - 142102208 = 0.\nAnswer: -8881388, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 10*q - 4. Let w be p(4). Suppose -w*h - 561 = -7*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + v + 16 = 0, -8 + 34 = -2*c + 2*v + 16 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*2*-5 + sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(8).\nAnswer: -11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -36*j - 23. Calculate p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 13*u**2 - u - 336. Calculate f(0).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -75, -6, -2.\nAnswer: -75, -6, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = p + 3*s, s + 3 = -p. What is the smallest value in 1\/11, p, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2 - 6*z - 4. Let q(i) = 4*i**2 - 5*i - 3. Let j(l) = -5*k(l) + 6*q(l). Suppose 0*m + 4*m = -16. Let n be (m - (2 + -7)) + 1. Calculate j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 171, -4, 5, 1 in decreasing order.\nAnswer: 171, 5, 1, -4, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(10 + -13 + 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/24 and (6\/(-1) - -2) + ((-2975)\/49)\/25.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34975710 divided by -176645\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -17, 41, 83, 103?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7563.2 * -1.31\nAnswer: -9907.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7822 + 0.1912. Let u = 0.409 - m. Which is the closest to u? (a) 5 (b) 1\/6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 10 - 8*i + 3*i**2 - 5*i**3 - 3*i - 23 + 10 in the form y + s*i**2 + p*i**3 + a*i and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 3, -5, -0.4, -1 in descending order.\nAnswer: 3, -0.4, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) + -2*sqrt(72)*-4) - (sqrt(2) - sqrt(8)*2)*-4)**2 - ((3*sqrt(72) + sqrt(72))\/sqrt(4))\/(4*(sqrt(9)*-2 - sqrt(9))).\nAnswer: sqrt(2)\/3 + 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -2*f - 24. Suppose -4*n + f - 2 = o, -n + 1 = 3*o. Suppose o = 3*w + 3*w. Solve w = -5*h + 3*z - 13, 0*h + 4*z = h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 34 (b) -2 (c) -0.1 (d) -7\/710 (e) -3 (f) -1\/3 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 74743711.35 to the nearest 10000.\nAnswer: 74740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzpzmaa. Give prob of picking 3 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k - 8 = 0. Let n(a) = a**2 + 10*a - 17. Let m be n(-12). Suppose j + m*j - 32 = 0. Solve -j*r = -k*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-4 - -7) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let w = 9 - q. What is the nearest to -2\/3 in 0.4, -0.5, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99089 or -99090?\nAnswer: -99090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151978479*z**3 - 100352*z**2 - 2*z + 63 wrt z?\nAnswer: -911870874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 4:13 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -197, 5, 0.5, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 85\/(-153)*(-6)\/50. Let d(y) be the second derivative of 0 + 1\/10*y**5 + 0*y**3 + 0*y**4 + t*y**6 + y + 0*y**2. Find w, given that d(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1335 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 3*p + 338, -p - 666 = -2*q. Suppose -3*i = -232 - q. Let g = 337 - i. List the prime factors of g.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*sqrt(24)\/(sqrt(36)\/sqrt(3)*2) - (sqrt(54)\/sqrt(3)*2)\/((-1*sqrt(108))\/sqrt(12)))**2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -92, -118, -144, -170?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - 7*j - 5. Let f(u) = u**2 - 2*u - 2. Give -7*f(i) + 2*t(i).\nAnswer: i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(2*(39\/6)\/13)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(7\/2))\/(-1). Suppose 3*j = -v*o + 4*o + 10, -3*o = -5*j + 16. Suppose -2*a + 846 = 2*b + 3*a, j*b - 838 = -3*a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3975407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-4)))\/u**(5\/13) assuming u is positive.\nAnswer: u**(-57\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1334)\/493)\/23 + ((-81)\/6)\/(935\/(-22))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 + 12*j**2 + 27*j - 40.\nAnswer: (j - 1)*(j + 5)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1208)\/(-9) - (-66)\/(-297). Let u = l - 132. What is the second derivative of -13*z + 26*z + 31*z + 30*z**2 - 3*z**u wrt z?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -71*m**3 + m**2 + 2*m + 2. Let a be r(-1). Let c = a - 52. Let q be 6\/(-8) - 15\/(-4) - 0. Solve q*h = -h + c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**3\/6 - 8*v. Let r(d) = -8*d**2 + 10. Let h(i) = i**2 - 1. Let m(c) = -20*h(c) - 2*r(c). What is m(q(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5 + 7 + 6*f**2 - 5*f - 7. Let h be (-5)\/(((-15)\/3)\/(-5)). Let z(a) = 5*a**2 - 4*a + 4. Determine h*z(q) + 4*p(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112532702 to the power of 1\/2, to the nearest integer?\nAnswer: 45962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 826 - 552. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 - 173*q**2 - 95*q + 699. Let f be h(87). Solve -f*g - w = -4*g - 2, -2*g - 16 = -5*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 52*a**3 + 125*a**3 + 3*a**2 - 4 + 95*a**3 + 2*a - 66*a**3. Is r(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Which is the nearest to 1? (a) u (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from xwwwl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0.1, -15, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose -8*m + c*m = 4*p, p = 5*m - 25. Find the common denominator of (-1270)\/(-175) + 2\/p and 5\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 25*h**2 + 9*h - 29. Let g be o(-25). Let u = -252 - g. Solve c = 4*x + 2*c - 13, 2*x + u*c - 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(245) - (4 + sqrt(245) + sqrt(245)*1)).\nAnswer: -7*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 13721*c + 135. Is l(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a microgram in nanograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2 - 17. Let y(m) = 9*m + 4. Is y(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a + 44. What is n(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 4*g**2 - 3*g + 1. Suppose 0 = -4*a + 10 + 10. Give w(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380630 and 409360.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1584 + 1584. Sort i, 0.1, 0.4, -1 in decreasing order.\nAnswer: 0.4, 0.1, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/8 - 93*s\/2 + 1044 = 0 for s.\nAnswer: 24, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -9\/2*d**2 + 1 - 3\/4*d**4 + 3*d**3 + 3*d. Suppose b(i) = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88372350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 11*a - 11. Give i(-7).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 5*j**2 + 5*j - 5. Let f(z) = 18*z + 1 + 21*z - z**2 - 40*z. What is -5*f(m) - y(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(3) + 0)*-3)**2 + sqrt(576)\/sqrt(12)).\nAnswer: -81 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -150891?\nAnswer: -150891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 241176280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 36 (c) -0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u - 9323 = -16*u + 63477. Calculate the highest common factor of 70 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*x - 517*x - 266*x + 9*x to i*x + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -344*f + 165*f + 448 + 167*f. Is 14 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 1271 + 5450. Suppose 3*q + 4153 - h = 0. Let v be ((q - 0)\/(-2))\/(-1). Round v to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14802.92513 and -347.\nAnswer: -15149.92513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -16*j + 28*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*b**3 - 98*b - 452*b**2 - 456*b**2 - 455*b**2 + 1363*b**2 in the form v*b + z*b**2 + w*b**3 + r and give v.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 9. Let k be j(-4). Let g be (6\/15)\/(1\/k). Solve -5*m + 4*m + 2 = 0, -h = g*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (261\/(-51) - -5) + (-14460)\/(-85) is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2396493 and -125\/55385616.\nAnswer: 498470544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 - -47?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/4 - 136*i + 97785 = 0.\nAnswer: -954, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:52 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/3 + 46*c. Let m(j) = 4*j + 12*j**2 - 13 + 13 - 7*j. Give m(g(n)).\nAnswer: 192*n**4 + 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/12)\/(v*(v*v**(2\/23))\/v*v)*v**(-11)*v*v\/(v**(-2\/19)*v))**(1\/3) assuming v is positive.\nAnswer: v**(-63269\/15732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**3 - 3085*j**2 + 412710*j + 415800 = 0. What is j?\nAnswer: -1, 198, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3808684472 + -3808684440.80000179. Let l = -91.5 + 60.3. Let v = d + l. What is v rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2371 + 2393. Solve -4*c + 7 = -4*t - 1, -c + a = -5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - (5 + (-73)\/14). Let p = -7319 + 7322. Which is the biggest value? (a) p (b) -3 (c) m (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 51201 - 126 = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 43. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13126+20187908108\nAnswer: 20187894982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29751*n**2 + 77422*n?\nAnswer: 59502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73084513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15506*w - 46522. Give y(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1401890 divided by -28610.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4709 + 3707 = -167*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-8))\/(s*s**(1\/3)\/s))\/(s**(-18)\/(s\/(s\/s**(-1\/4)*s*s))) assuming s is positive.\nAnswer: s**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 t when three letters picked without replacement from tmmmtmtmmtmmtmtmmm.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2870446430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(11))**2*3.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1492470 and 460.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = 5*y - 4*y. Let x be 10 + 1 - (8 - 4). What are the prime factors of 0 - y\/(-6) - x\/14?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*q + 1)*(-1 + 1 + 3*q)*(1 + 0 + 2).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -13, -25, -41, -61?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97055.\nAnswer: 5, 7, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184 - 202 - (-14 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s**2 + 7*s - 5. Let h(c) be the second derivative of 5*c**4\/3 + 10*c**3\/3 - 15*c**2\/2 - 6*c + 13. Determine 17*g(p) - 6*h(p).\nAnswer: -p**2 - p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8\/111 - -2276\/777. Is r at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 9\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 169548139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, 5, -28\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000146077 to 6 dps.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24916*k**4*m**3 + 6*k**4*m - 2*k**2*m**3 + 820*k**2*m**2 - 2*k**2 - 4*k - 2*m**2 wrt k?\nAnswer: 597984*k*m**3 + 144*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4091661164 a multiple of 458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -20) + -5 + (2 - (5 + 2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 2*u**2 - 17*u**2 - 371 - 11*u**2 + 371.\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 461 = 101. Let x be v*(3 + (-11)\/3). Suppose x*k = 46*k + 128. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*i + 24, -3*i = 5*b + 2*i + 40 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 7) to base 12.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1174*m + 1170*m = 2*f - 54, 2*f = 2*m - 42 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56339763017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyvyyyyyyvyyv?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**7\/630 + n**6\/720 + n**4\/8 + n**2. Let b(o) be the second derivative of j(o). Factor b(s).\nAnswer: s*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -421\/9. Which is the third biggest value? (a) 7 (b) -2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79060 by 76.\nAnswer: 19765\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + 690\/78 - (-1692)\/13. Let a = 167 - r. Solve 7 = 11*h - a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 1074412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*m - 1123 = 0, -c + 4*m = -127 - 244. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*r - 1 = 0, -4*m + 2*r = 29 - 43 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 5*r - 549. Let s(q) = 3*q**2 - 7*q - 827. Let h(f) = -5*s(f) + 7*t(f). Let g(d) = -4*d. Give h(g(x)).\nAnswer: -16*x**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/18 + (-8)\/36 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -5)\/((-1)\/13 + 276\/(-468)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 3, f: 1, p: 1, l: 2, k: 3}. Give prob of picking 1 w and 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70496013589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12281 - 0.62281. What is the second biggest value in -0.14, t, 5\/2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16080*n + 369799. Give m(23).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 10455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3070697 <= 3070702?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -4 + 0 - (13 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 18, 0.5, -8, 47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 - 4*x + 3. Calculate f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722b (base 13) to base 8.\nAnswer: 36612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 + 223128*k - 220531*k + 1 + k**2 to the form p + j*k + y*k**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -4*t - 22, -3*w + 4*t = -58. Suppose 4*v - w = 38. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - -0.06. Let h = o + 0.01. Let i = 1.9 + h. Which is the biggest value? (a) 0.3 (b) i (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*u**4 + 5*u**3 - 2*u**2 + 10*u**4 - u + 25*u**4 to the form r + j*u**2 + x*u**3 + k*u + v*u**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/9, -0.4, -13, -59\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10742615?\nAnswer: 5, 13, 29, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + (7 - (13 + -1) - (20 + -10))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4280 + 9520 = -131*d for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 0. Suppose -5*a = -g*a - 12. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c**5 + 159*c**4 + 580*c**3 + 235*c**2 - 841*c - 145. Let g(o) = -o**4 - 2*o**3 + o**2 + o + 1. Let j(s) = -a(s) - g(s). Let j(b) = 0. Calculate b.\nAnswer: -6, -2, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4852195 - 10309095. What is j rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -31 + 15 - -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 6 (c) -2\/11 (d) -11.9 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 8:29 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63497912 by -7937239.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9 = 27. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7796 + 15196. Suppose 10*b + 2*q = 15*b - h, b - 4*q - 1462 = 0. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2800741?\nAnswer: 89, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*l + 32*l + 21. Solve -2*g - 20 = l*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**4 - 5*j**3 - 11*j - 5. Let y(u) = -7*u**4 + 2*u**3 + 6*u + 2. Let t(c) = -2*b(c) - 5*y(c). Find the second derivative of t(n) wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/4652 - -2323\/13956. Let s = -9 + -2. Let k = 7 + s. Sort o, -1, k, 0.\nAnswer: k, -1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let j(s) = -63*s**3 - 23 + 73*s**3 + 9*s - 4 - 4*s**3. Let r be 0 - (2 - 1) - 5. Let g(o) = r*n(o) + j(o). Differentiate g(d) wrt d.\nAnswer: 18*d**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 17 = -4*q, -2 = q - 2*k - 16. Let a = -6 - -4. List the prime factors of ((-9)\/4)\/(a\/q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**2 - 6*v - 6. Let j(i) = -i - 1. Let t(f) = -6*j(f) + u(f). Let a(q) = 1246736 + 6*q**2 - 1246736. Give a(t(s)).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62860396 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 171?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 12*a - 240. Let y be b(20). Suppose -f + 3 = -0*f. Suppose -2*d + 6*d - 16 = 0. Solve 0*m + m + f*i + 4 = y, 0 = d*i + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*x - 28 = -q + 721*x, -4*x - 86 = -5*q. Calculate the highest common factor of q and 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87880 divided by 4\nAnswer: 21970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + (sqrt(425)*1 - sqrt(425)) + sqrt(425))*-5)**2*-5.\nAnswer: -53249 + 1250*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 253 (c) -2 (d) 0 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3*t**4\/8 - 45*t**3\/2 - 2025*t**2\/4 - 10125*t\/2 + 43. Let d(c) = 0. What is c?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -217, -5 in descending order.\nAnswer: 2, -2, -3, -5, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -389?\nAnswer: 389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7279*y**6 - 662*y**5 + 21*y**2 - 1238*y - 13 wrt y.\nAnswer: 873480*y**3 - 39720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (2 - 0) + -3. Let s(c) be the first derivative of -10*c**2 - 9*c - 347. Does 3 divide s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(133) + sqrt(133)))\/(-2*sqrt(1008)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7929.12 months to millennia.\nAnswer: 0.66076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2855 and -1197\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/60 - w**4\/24 + w**3\/6 - 11*w**2. Let x(s) = -s**2 + s - 1. Calculate -4*v(r) - 5*x(r).\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -2*j**5\/25 - 2*j**4\/5 - 2*j**3\/3 - 2*j**2\/5 - 7. Determine a, given that z(a) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 21?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16418, -32835, -49254, -65675, -82098, -98523, -114950?\nAnswer: -131379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/813 (b) 0.2 (c) 0 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88609?\nAnswer: 88609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -34, -27, -20, -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16273 - -16527. What is the greatest common factor of y and 46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + 4 + -73 + 51 + -1 + (0 - 1).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2022002 - 4322?\nAnswer: -2031324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 1, w: 1}. What is prob of sequence kgw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -28341225.\nAnswer: -28341225, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -1\/46 (c) 0 (d) 2\/13 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0529825033 to 3 dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 60652 + 6186 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 158*h**3 + 70*h**2 - 13*h - 4. Let i(w) = -79*w**3 - 38*w**2 + 7*w + 2. Give -11*i(u) - 6*m(u).\nAnswer: -79*u**3 - 2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -0.44. Which is the fourth biggest value? (a) 3\/5 (b) 0.07 (c) o (d) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y. Suppose y = u - 2, -3*m - 5*u = -u - 140. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(2*h + 0*h + 0*h) + h - 3*h + 7*h as m*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/(-30))\/((-140)\/(-60)))\/((-2)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p = -41*p + 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p**3 + 1569*p**2 + 180*p - 3140. Calculate n(-196).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18 + (-1 - 1) - -2. Solve 0 = -2*c - q + 3, 7*c = 2*c + q + y for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(28) + (-5 + -2*sqrt(5))**2)*3.\nAnswer: 135 + 123*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:23 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4541667253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -4727.\nAnswer: -2836.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12 - (2 + 4) - 9. What is the closest to 0.043 in 5, w, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122022000 (base 5) in base 3?\nAnswer: 1002110002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2176, 0, 7, -1, 1 in increasing order.\nAnswer: -5, -1, 0, 1, 4, 7, 2176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = -2*h - 34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22536 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: Simplify (((j*j\/(j\/(j**(2\/11)*j))*j)\/j)\/(j\/(j*(j**(-6)\/j)\/j)))\/((j**(4\/3)*j)\/j**4) assuming j is positive.\nAnswer: j**(-137\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) 621 (c) 4\/9 (d) 5 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.260965 to 3 decimal places.\nAnswer: 4.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26575557671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 105492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5179+232.8927\nAnswer: 5411.8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -806a0 + 4?\nAnswer: -80699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 3. Let o be a(5). Let k(b) = 2 - 2 + o*b - b. Let g(f) = -5*f. Give g(k(j)).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b. Let n(a) = 4*a**2 - 4*a - 3. Suppose -3*v + 0 = -15. Determine v*g(f) + n(f).\nAnswer: -f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**39)*r*r*r*(r*r**(4\/13)*r*r)\/r)**(-26))**(-50))**37 assuming r is positive.\nAnswer: r**2131200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + u - u + (1 + 0 + 1)*(4*u + 0*u - u) + 6*u - u - 3*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*s + 59*s = -91*s + 506 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6859117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 900, 642, 404, 180, -36?\n\"Answer: -i**3 + 16*i**2 - 299*i + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1255 - -1273. Calculate the remainder when 394 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6674.\nAnswer: 3\/6674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:47 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 3, 10, 13, 6, -17?\n\"Answer: -z**3 + 7*z**2 - 9*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*x**5 - 13*x**3 + 12*x**2 + 4.\nAnswer: 360*x**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28349.29ml in litres?\nAnswer: 28.34929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.032 and -1021400.34444.\nAnswer: -1021400.31244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*2*5)\/(-5*-1*sqrt(5)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 118671713 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**5\/5 + 10908*i**4\/5 + 1983069*i**3 - 98172*i**2\/5 - 89238348*i\/5 = 0 for i.\nAnswer: -1818, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -554, -828, -1102, -1376, -1650?\nAnswer: -1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**2*r**3 - 34504*n**2*r*x**3 + 10*n*r**3*x**3 + n*r**2*x**2 + 2*n*r*x**3 - 215*r**3 wrt n.\nAnswer: 8*r**3 - 69008*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 4*m**2 - 2*m + m**2)*(-2*m - 2*m**3 + 2*m).\nAnswer: -10*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6727.4491 rounded to the nearest ten?\nAnswer: 6730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.657174 micrograms?\nAnswer: 0.000000003657174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7 = -3*s. Suppose 4*y - 3 = s*y. Let l = -25 - -26. Which is the closest to y? (a) -0.3 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -2 (b) 1.04 (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323604 (base 9) to base 12.\nAnswer: -937aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.1. Let r = 1 + -5. Let i = r + 3. Put i, q, 1\/7 in descending order.\nAnswer: 1\/7, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -4 - (23 - 20 - -12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.0677 + -2.489. What is b rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 199 + -280. Let m = k + 188. Let u = -104 + m. Solve u*t - 6 = 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64267804.1 rounded to the nearest 1000000?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = o, -s = 2*o + 4. Let v be 2 + s\/(2 + 1). Let b(r) = -v*r - r + r + r. Let p(z) = 2*z**2. Determine b(p(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*x**2\/3 - 14060*x\/3 - 1172.\nAnswer: 4*(x - 879)*(4*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19017 + 32470. Does 31 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 29*w - 105. Let r be u(6). Sort 0, 122, 3, r in decreasing order.\nAnswer: 122, 3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -440, -547, -676, -827?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14719, 7, -2 in ascending order.\nAnswer: -14719, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 236\/18 - (-2)\/(-18). Let p(r) = 5*r - 5. Is 5 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102*r + 38807 = -7723 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*1 + (-58)\/29. Differentiate -36 - 5*w**f + 7*w**2 + 4*w**2 + w**2 - 6*w**2 wrt w.\nAnswer: -15*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 0.0097.\nAnswer: -0.2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55442 * 5.\nAnswer: 277210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and 0.5916.\nAnswer: 0.106488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 82. Does 22 divide w\/(((-12)\/1320)\/(2\/5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 3 + (15 - 2\/1) + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -137 + 65*m + 299 - 137. Let n(v) be the first derivative of -4*v**2 - 3*v - 29. Determine 25*n(l) + 3*s(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f**2*h**2 + 6822*f**2*z - 7549*f**2 + 2*f*h**2 - 2*f + 10*h**2*z - h*z + 4 with respect to z.\nAnswer: 6822*f**2 + 10*h**2 - h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (116 - 166 + 105)*(-3*u**2 + 7*u**2 + 0*u**2) in the form b + q*u**2 + v*u and give q.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**5\/9 - 18137*q**4\/9 + 54427*q**3\/9 + 126965*q**2\/9 - 90706*q\/3 - 36280 = 0.\nAnswer: -18140, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15 - 5 = 0. Suppose 2*v = x - 2. Find the third derivative of 0 + 0 - 4*t**2 + t**2 - t**v wrt t.\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 19 - 4. Let n(y) = -y + 4. What is the remainder when 27 is divided by n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide ((-46)\/(-10) - (-6)\/15)*27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13019267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:26 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5431, 21732, 48881, 86860, 135651, 195236?\n\"Answer: -3*v**3 + 5442*v**2 - 4*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.048 + 0.048. Let d = 1.4 + n. Which is bigger: d or 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -6 (c) -0.3 (d) 8\/9 (e) 5 (f) -849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j + 1. Let n be w(-3). Let o(y) = -y - 3. Let g be o(-4). Let k = -7 + 10. Which is the closest to n? (a) k (b) -0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 22*g**2 - 49*g + 15. Let w be p(-24). Let r be (w\/15)\/(4\/20). Calculate the highest common factor of 13 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 11?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12921 divided by -219?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -31, -4 in decreasing order.\nAnswer: -4, -28, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.76 or 3.385?\nAnswer: 3.385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 + 116 + -191 + (-1 + 4 - (2 - 2))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 9 + (-27 + 6)\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12153287098648 minus 2.2?\nAnswer: 12153287098645.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416409 is divided by 207314.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*c*p + 3*b*c + 20*b*p - 44*c*p + 2*c - 2*p wrt b.\nAnswer: 2*c*p + 3*c + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 201*d**2 - 199*d - 2. Let m(y) = 2210*y**2 - 2190*y - 20. Let i(c) = -4*m(c) + 45*t(c). Let i(o) = 0. Calculate o.\nAnswer: -2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0 + 6. Suppose p = -5*r - 4*p, 3*p - 40 = 5*r. Put w, r, 5 in decreasing order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1285.66 - -1272. Let h = q - 0.54. Let b = h + 9.2. What is the closest to -7 in 2, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/9)*(x**(2\/67)*x)\/x)**(-1\/14) assuming x is positive.\nAnswer: x**(-85\/8442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 9. Let w = 3 - 7. Let h be i(w). Differentiate -h*z**3 - 1 + 5*z**3 + 2*z**3 with respect to z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5722.\nAnswer: 28610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24287 + 24292. Let c(q) be the second derivative of 0 + q**2 + z*q - 1\/2*q**3. Determine c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 4\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -27, -66, -121, -198, -303, -442, -621?\n\"Answer: -u**3 + u**2 - 25*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/3 (b) 874 (c) -0.2 (d) -5 (e) 119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-10 + 3)*1. Let u = h + 10. Differentiate -4*v**3 + v**3 - 2*v**u - 2 with respect to v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087294647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 14. What is the remainder when 19 is divided by k(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 9, d: 1, u: 6}. What is prob of sequence juuu?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-369)\/(-15) + (-4)\/(-10). Suppose s*i = 5*i + 780. List the prime factors of i.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 77\/(18 - 7)*23.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-12)\/9) + 10460\/30 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17\/(-68) - (-29513)\/4.\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -19. Suppose -4*m - 35 = -3*c - d*m, 4*c - 10 = -2*m. Suppose -j = b + 9 - 35, -3*j + c*b = -102. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12d1b (base 14) to base 4\nAnswer: -23112031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -334.32. Let j = h - -331.9. Which is the third smallest value? (a) -0.2 (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/(4\/6). Let x = 1 + f. Suppose -4*z + 3*z - 5*l + 22 = 0, 0 = -z - l + 2. Put z, x, -4 in descending order.\nAnswer: x, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -6012*t**2 - 42086*t - 26. Determine z(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00068282752 to six dps.\nAnswer: 0.000683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:41 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1980770 rounded to the nearest 10000?\nAnswer: -1980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.21 + 0.09. Let s = -0.2 - a. Put 0.2, s, -0.2 in descending order.\nAnswer: 0.2, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 22. Solve -4*a = 2*r - 10, -11 = 5*r + 3*a - o*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one thirds of a year?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 56.4, -1, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10313441 + 2?\nAnswer: -10313434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498416 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1633.\nAnswer: -1634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -386*f**5 - 362067*f**4\/2 + 364081*f**3\/2 + 361597*f**2\/2 - 363309*f\/2 + 235 = 0?\nAnswer: -470, -1, 1\/772, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-2)\/4)*2. Suppose -14 = -g + q. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 3*o**2 + 6*o**2. Let c be a(-1). Calculate the lowest common multiple of 429\/44 + 2\/c and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 842600 = -4*r - 23*r. What is r rounded to the nearest 1000?\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 470*q + 5456. What is g(-10)?\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572226 is divided by 393055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202220121 - 2?\nAnswer: -1202220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -472*y - 2484 - 5540 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(2352) + 2 + -2)*-5)**2.\nAnswer: 7000*sqrt(3) + 59425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2)*4)**2 + 4 - sqrt(152)\/(sqrt(32)*-3).\nAnswer: sqrt(19)\/6 + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976 = -19*u + 2014 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/c**(-2)*c**1*c**(-3)*c)**(9\/7) assuming c is positive.\nAnswer: c**(45\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/4)\/u)\/(((u**(-2\/23)\/u)\/u)\/u))\/(u**(-2\/9)*u**(4\/5)) assuming u is positive.\nAnswer: u**(5213\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*t + 50. Suppose 2*u = 6*u - t. Let n = -8 + 13. Solve 0 = u*y + n + 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.045 - -4.475. Let g = 0.52 - k. Suppose 5*d + q - 38 = -9, 5*d - 13 = 3*q. Which is the third biggest value? (a) g (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33 - -6c?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + q + q)*(-1 - 3 + 5) + 2 + 3*q - 2 - 5*q + 8*q + 23*q + 0*q + 0*q - 2*q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 + 10*k**2 - 28*k + 17. Let c be a(6). Suppose 5*i = 28 + c. What are the prime factors of i?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 51. Let k be w(-7). Solve d + 2 = p + 2*p, d = k*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9244152 + 0.17030503.\nAnswer: 9244152.17030503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 56*f + 163. What is t(-31)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9650 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxia when four letters picked without replacement from {x: 8, y: 1, j: 1, i: 2, a: 2}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -32. Suppose -c*b + 0*b - 4*f = 17, 2*b = -2*f - 8. Let j be ((-20)\/(-6))\/(b\/6). Are -19 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + 6 + (10 - 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(111\/(-36))\/(-37)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 20 = -2*v - 11*p, 5*v + 4*p + 50 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/6)\/((-1)\/15). Solve -2 = -h - g + 3, -25 = -3*h - u*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169083 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*o - 1511 = 1069, -4*i + 2040 = 2*o. Suppose -35*u - 64*u + 198 = 0. Suppose -u*m = 2*m - i. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10460543507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6)\/v*v*v\/(v**(-19)\/v)*(v**(-2\/15))**(-49) assuming v is positive.\nAnswer: v**(323\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122486849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136846 - -136842.9. Let w = 0.1 + 0.2. Are w and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 281, 268, 219, 110, -83, -384, -817?\n\"Answer: -4*p**3 + 6*p**2 - 3*p + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226906142.\nAnswer: 2, 113453071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -13*b - 95. Let o be 8 + -1 + -2 - 34. List the prime factors of t(o).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*x + 84. Let j(a) = 3*a - 1. Let u be j(1). Suppose -4*r + 4 = 0, x*b - 487 = 2*b - u*r. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 1026*a**2\/7 - 744*a\/7 - 296\/7.\nAnswer: 2*(a - 1)*(a + 74)*(7*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 449 + -331. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 27160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 7270*z - 27 = -0*b - 7290*z, 2*b = 6*b + 3*z + 25 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/72*-4*1\/2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13055 and 28721.\nAnswer: 143605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 90*b**2 - 174*b - 86.\nAnswer: -2*(b + 1)**2*(b + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t**3 + 0*t + 0 - 1\/15*t**5 - 5\/4*t**4 - 7*t**2. Find the second derivative of u(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -83 + 115 + -4 + 17?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4885 divided by -34.\nAnswer: 4885\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - l**2 + 2*l + 20. Let a be t(0). Suppose -10*w - a = -14*w. Suppose -2*z - 746 = -4*y + 856, -z = w*y - 2020. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.3. Let d = -0.3 - a. Suppose -4*k + k + 2*w - 19 = 0, -2*k - 2*w + 4 = 0. What is the closest to d in -1\/2, 2\/5, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(2\/13)\/f)*f**(-1)*(((f\/(f*f**(-2\/7)))\/f)\/f)**(-2\/25)*(((f*f**(-2\/3))\/f)\/f)\/(f\/(((f*f**(-2))\/f)\/f))*f**(-3)\/f*f**4*f assuming f is positive.\nAnswer: f**(-25139\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197511941165 minus -3?\nAnswer: 197511941168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 8*m + m**2 + 11*m**4 - m**4 as b*m**2 + l*m**4 + r*m**3 + s + x*m and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*u + 838, -5*v = -u - 2*u - 1064. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 5*n + 3400 = 0. Suppose -o + n = -169. Let f = -17 - -58. What is the greatest common factor of f and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 34 (b) 2 (c) -2\/3 (d) 2\/13 (e) -1\/3 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + (-32 - 64) + 44.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42600 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 15 + 2*g - 7*g + (-1 - 2*g + 1)*(3 - 5 + 3) - g + 3*g - 3*g + 3*g - 6*g + 4*g as n + p*g and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9492, 9488, 9474, 9444, 9392, 9312?\n\"Answer: -c**3 + c**2 + 9492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -613159.5.\nAnswer: -613156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(8424\/(-24)) + (-482)\/13?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 6*g - 62 - 46 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + 16*o**2 - 29*o - 120. Calculate y(-5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-28)\/c*c)*c**(7\/4)*(c*c\/c**(-28))\/c**6 assuming c is positive.\nAnswer: c**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.01 - -0.01. Let k = r - -7.13. Let d = 0.1299993 - k. What is d rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-5)*j*j**(-10))\/(j**(-1\/7))**8 assuming j is positive.\nAnswer: j**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*c + 2552 = 1138*c - 448*c for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)*x*x*x*x\/(((x\/(x*x*x\/x**(-2))*x)\/x*x)\/x)*x)**46\/((x*x**(2\/7)\/x*x)**(-15)\/((x\/(x**(1\/5)\/x))\/(x**7\/x))) assuming x is positive.\nAnswer: x**(14696\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2. Let g be -1*1\/(-3)*9. Let z(p) = -8*p + 10*p - g*p. Determine n(z(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(sqrt(2) + 1) - (5 + 2*1*sqrt(2))**2 - (-4*(sqrt(24)*-1)\/sqrt(12) - ((sqrt(2) + sqrt(8)\/sqrt(4)*-5)**2 + 1)).\nAnswer: -26*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5687455 and 77\/866.\nAnswer: 11374910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 2*z - 2*z + (-2*z + z - z)*(-2*z**2 - 16*z**2 - z**2) - 2 + 0 + 3 + 2*z**3 in the form x + b*z**2 + y*z**3 + h*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*g + 2610 = -53*g - 1020 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4152667, 4152693, 4152719, 4152745, 4152771?\n\"Answer: 26*p + 4152641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)*c\/(c\/(c*c*c**(1\/3))))**(-18)*(c**(-1)*c)**(-5\/12)\/(c**(1\/2)*c)**(-36) assuming c is positive.\nAnswer: c**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54409362 is divided by 13602322?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/(-1644)*(-48)\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.00334 - 0.004375. Round f to 4 dps.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21730000 rounded to the nearest 100000?\nAnswer: 21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + (sqrt(108)\/sqrt(4))**2 + 3*(sqrt(3) + sqrt(48)) - sqrt(18)\/(sqrt(294)*2).\nAnswer: 27 + 237*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3679894, -7359795, -11039696, -14719597, -18399498?\n\"Answer: -3679901*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**4)**(-2\/19) assuming m is positive.\nAnswer: m**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijigbjiieb. What is prob of picking 3 j and 1 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/13)*s)**20 assuming s is positive.\nAnswer: s**(320\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 - 3*h**2 - 2*h - 2. Let u = 149 - 151. What is m(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17482*r = 17377*r + 630. Let w(a) = -a + a**3 - 6*a**2 + 2*a + 0*a**3 - 2. What is w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*t - 22*t + 37*t)*(-1 + 4 - 2)*(-1 + 3 - 3) as j*t + q and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13144815 + 0.372447891. Let u = b - 0.241. Round u to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012473 rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1220 and 116080.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 210943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + -2.14. Suppose 3*x + m = -0*m + 19, 5*m = 20. Let l = -0.25 - 0.15. What is the second smallest value in l, x, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*v = -946, 1514*c + 955 = 1518*c + v. What is the greatest common factor of c and 1988?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 13. Let v(i) = -3*i - 13. Calculate -3*v(y) + 4*x(y).\nAnswer: y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 16*a - 31. What is the remainder when l(-13) is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(450) + -1)**2.\nAnswer: 30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -16 + 3 + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 19*b**4\/24 - 13*b**2. Let f(l) = -l. Determine f(o(d)).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 - 1545*h**4 - 113666*h**3 - 1735884*h**2 + 10939288*h - 14001024 = 0. Calculate h.\nAnswer: -38, 2, 3, 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*r - 854725 = -205*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13504339.\nAnswer: 79, 199, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 10*z**2 + 23*z + 16. Let v be p(-7). Suppose 4*c = -k, 0 = 2*k - c - v*c. Factor -6\/7*x**2 + k + 3\/7*x + 3\/7*x**3.\nAnswer: 3*x*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 159998\/10 + (-1)\/(-5). What is d rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(((y\/(y\/(y\/(y\/(y**(2\/9)*y*y)))*y)*y*y)\/y)\/y*y)*y)\/y*y*y**(-1\/4) assuming y is positive.\nAnswer: y**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16955*i - 8 = 16959*i, 3*i = -p - 19 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g**3 - 12*g**2 + 64*g + 223. Determine o(-3).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 93, 137?\n\"Answer: 44*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -94. Let k = c + -66.4. Let r = 349\/6 + -58. What is the second smallest value in r, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 522*o - 144. What are the prime factors of v(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -592499648\nAnswer: -592499648.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1795662 and 660?\nAnswer: 17956620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 8. Let d be f(7). Let s be (d\/(-7)*4)\/(82\/287). Suppose 4*b - 2*w - 1058 = 0, 2*b - s*w = 7*b - 1345. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 90, 0, 0.32, 1\/3, -5, 2\/19.\nAnswer: -5, -1, 0, 2\/19, 0.32, 1\/3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-24)*(-429)\/13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 9a6e489?\nAnswer: 9a6e48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7234.00006766 + 7234. Round q to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -893\/42 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233818853 by -1.\nAnswer: 233818853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (153\/36)\/(2\/8). Suppose u + 3*j - 9 = n, j = u - 42. Solve 5*p - 5*g = -u - 7, -g + 4 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -1\/4 (b) -1.52 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p. Let v(o) = -28*o + 16. Let d(f) = 9*f - 5. Let u(i) = -16*d(i) - 5*v(i). Let x(s) = 6*h(s) + 10*u(s). Let c(a) = 7*a**2. Determine x(c(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttoktotoko. Give prob of picking 1 o and 1 k.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/9)\/((-58)\/(-87)))\/((-2)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2909\/2 - 1455. Let n = -56 + 54. Which is the closest to n? (a) -2\/5 (b) -0.1 (c) t (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**4 - i**3 + i + 1. Let h(q) = -19*q**4 - 84*q**3 - 35*q**2 + 24*q - 6. Let p(a) = h(a) + 6*w(a). Factor p(r).\nAnswer: -5*r*(r + 1)*(r + 3)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14420 + -222?\nAnswer: -20142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -671*r**2 + 60*r + 39. Let u be s(3). Is u != -5821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 1958074*f + 1917026894738.\nAnswer: (f + 1958074)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2505, 5010, 7515, 10020, 12525, 15030?\nAnswer: 17535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 12*t + 31. Let s be o(5). Is s at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035831240 to the power of 1\/3, to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, 72, 16, 0.\nAnswer: 0, 16, 72, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(sqrt(833)*-2 - sqrt(833))**2.\nAnswer: 7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1420*g - 5660. Give j(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -62064, -62145, -62226, -62307, -62388?\n\"Answer: -81*u - 61983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-4 + 7 + -1)) + 4 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10*n*(n*n*n**(-1\/2))\/n*n**(-5\/9)\/n**(-14) assuming n is positive.\nAnswer: n**(449\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137\/21 - 48\/7. Let d be (2\/(-26))\/(12\/22). Let p = d - -4\/13. Put 3, m, p in descending order.\nAnswer: 3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eexe when four letters picked without replacement from {e: 9, x: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 160, 163, 166?\n\"Answer: 3*r + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**2 + 0*d**2 - d**2)*(-41*d**2 - 3*d**2 + 9*d**2) to v*d**3 + g + m*d + b*d**2 + u*d**4 and give u.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 2:59 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 1. Let v = -19 - -13. Let j(x) = 2*x**3 + 9*x + 6. Let g(a) = v*c(a) + j(a). Find the second derivative of g(t) wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/((-6)\/(-16))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7722332*r**2 + 32563*r + 174 wrt r?\nAnswer: -15444664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 17.0000007. Round u to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(16)*1)\/sqrt(8)*-3)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139998, 138211, 136422, 134631, 132838, 131043?\n\"Answer: -n**2 - 1784*n + 141783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*q - 1416 = 0, q + 646 = -2*v + 84. Are v and -279 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 + 0 + 5*t**2 - 4\/105*t**7 - 1\/60*t**6 + 0*t**3 + 1\/10*t**5 + 0*t. Let h(c) = 0. What is c?\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 1639*h + 319546. Determine p(-195).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(102\/(-17) + 8 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*n - 1 = 0, -7*n + 19 = 4*a - 10*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 474*z - 200*z - 517*z - 2430 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -17. Let g be 45 + (-3 + v)\/3. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2816 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133100 + 321?\nAnswer: -132335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-4 + (9 - 9)))\/((-210)\/12).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 68*v - 14. Let t be q(13). Suppose 3*g - 617 = -f, -2*f - 46 + t = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110100221211102 (base 3) to base 11\nAnswer: 378a65a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184.02 + -184. What is the closest to x in 2\/9, 2\/5, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g + 11. Let z be l(6). Let c be ((-2)\/(-6) - z)\/((-41)\/(-123)). Solve -2*n + 2*i = -0*n - c, 3*n + i = 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u**2 - 354*u + 66. Give s(24).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 9*v**2 + 12*v + 4. Let h be x(-2). Solve 0 = 4*r - h + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*(-16 + -2))\/((-105)\/(-28)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h - 5. Let w be r(-4). Suppose w = -z + 6*z. Suppose 4*m = z*m + 48. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-174 - -158) + 19 + 3 + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1557.389.\nAnswer: 1090.1723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -1\/6, -29.1, -8\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*c = -2 - 20, 3*c = 2*z - 57. Suppose 0 = 2*p + p - z. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 2)*(3 + 4 - 5)*(-1 - 1 + 5 - 4 + 1 + 1 - 5 + 3 + 3 + (-2 + 2 + 1)*(0 - 1 + 0))*(-87*g**2 - 3065*g + 3065*g) as v*g**2 + n + x*g and give v.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.4068 - 0.0068. Let r = 0.087 - -12.313. Let q = u - r. Which is the smallest value? (a) 3\/8 (b) q (c) -5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x**2 + 1869*x + 414 = 0. What is x?\nAnswer: -69, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2331\/5 + 470. Let u = x + -33\/10. What is g in -u*g - 1\/2*g**2 + 0 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 19. Let b be x(14). Solve -4*y + 22 = -2*z, -b*z = -z - 3*y + 29 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/361080 and -79\/794376.\nAnswer: 3971880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 282873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-9 - (-24)\/4). Sort -88, 2, z, -2 in decreasing order.\nAnswer: z, 2, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*n = 22, -o + 2*n = 7 - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-2\/65)\/(o**0)**(-40)*((((o\/(o*o**0))\/o)\/o)**14)**(31\/5) assuming o is positive.\nAnswer: o**(-11286\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2952.5 - 2953. Which is the closest to 0.4? (a) 2 (b) 0.5 (c) u (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/112 + 2\/28*-4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/15)\/((-10)\/550*-11). Let r(h) be the second derivative of 1\/2*h**3 - 1\/12*h**i + 0 + 24*h - 1\/2*h**2. What is r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1176429528 and 37\/6?\nAnswer: 1176429528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*k + 25*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-1)\/sqrt(6))\/(sqrt(324) - sqrt(4)).\nAnswer: -sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93494879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/(-30)*51*555\/(-3)?\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 + 2*r - 4. Let p be ((-3)\/(-4))\/((-2)\/(-8)). Let k be o(p). Factor 2 - 10 + 4 + k*i**2 + 2*i.\nAnswer: 2*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + v + 12. Let a(l) = l**2 + 2*l + 2. Suppose 0 = -d + 16 - 18. Let q(z) = z**2 + 3*z + 3. What is d*q(c) + v*a(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**7\/105 + 4*m**6\/75 - 3*m**5\/25 + 2*m**4\/15 - m**3\/15 - 3*m - 6. Let w(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(180\/225)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eycc. What is prob of sequence ye?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1064 divide 3248419986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 103*w**2 - 200*w**2 + 118*w**2. Let c(g) = 136*g**2. Give 5*c(b) - 32*v(b).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 15, -7*c + 12280 = -4*c + 4*v. Suppose -21*j - 4*j = -c. Which is bigger: 166 or j?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107347?\nAnswer: 107347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -27 - (0 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*x**3 - 2*x**2 + 64 + 4*x**3 - 63 to j*x + l + v*x**2 + z*x**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1026, 1091, 1198, 1347, 1538?\nAnswer: 1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -559.9 - -566.9. Let y be 8\/3*(-3)\/(-2). What is the closest to 0.1 in f, 2\/13, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560302 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -45*k**2 + 14 - 15 + 26 + 220*k = 0.\nAnswer: -1\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, -0.5, -1533\/22, 1, -11\/2?\nAnswer: -1533\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 42058644 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 17. Let m be b(-14). Suppose -2*f + 29 = 2*v + m, -17 = -2*f - 5*v. Solve -f = 6*i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2054 divided by 15862\nAnswer: -1027\/7931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 97 = 3*j + 2*c, 5*c + 88 = 4*j. Let z = 1 + 0. Let o = 17 + z. What is the greatest common divisor of o and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(3\/5)))**8*o*(o*o**7*o)\/o*o**(1\/6)*o*o assuming o is positive.\nAnswer: o**(479\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15636 + 15637. What is the closest to k in 14, -0.01, -19?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 + -216669402.7\nAnswer: -216669280.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/((-52)\/(-20) + -3). Suppose 5*p + 1 = g + 2*g, 3*p - 3*g = 3. Sort b, 2, p in decreasing order.\nAnswer: b, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.013517017*0.07.\nAnswer: -0.00094619119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38702 - 944. Is o a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 25 = -f - 43, 24 = 4*a + f. Solve -2*q - a = 5*h, -4*q - 2*h + 1 = 3*h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8840, 7, 0, -2, -12 in decreasing order.\nAnswer: 7, 0, -2, -12, -8840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/8)\/(-7)*(-272)\/51.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.8 and -48127050560.\nAnswer: -48127050560.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 708\/(-39) - 4\/26. Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 0 + 0*n - 3*n**2 + 7 - 7*n**2 - 4*n. Let x(f) = 19*f**2 + 9*f - 15. Let l = -50 + 63. Calculate l*u(p) + 6*x(p).\nAnswer: -3*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/14 + (-4)\/(-14). Suppose 9 = -2*p - p - 4*n, -4*p = n - c. Suppose 7 = u + p. Let o(l) = l - 1. Calculate o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 81261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 214 = -36*t. Solve t*m + 2*b - 6 = 0, -m + 6 = -3*b + 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -38543*i - 171. Let u be r(-15). Suppose -u = -32*m + 570826. Round m to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3777422 and -3132342?\nAnswer: 6909764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 6:13 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 30. Let j(y) = -y**3 - 10*y**2 + 10*y - 9. Let n be j(r). Sort n, -6, 5.\nAnswer: -6, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60066 divided by 1278\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -21, 33, -1 in ascending order.\nAnswer: -21, -1, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 599*g**7\/14 - g**5\/10 - 401*g**4\/4 - 1298*g. What is the third derivative of y(u) wrt u?\nAnswer: 107820*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 3)*(7 - 3 - 2*l + 10 + (0*l - l - l)*(3 + 0 - 1)) to the form k + j*l and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 11*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17011012?\nAnswer: 2, 4252753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/34 and -39\/12934.\nAnswer: 219878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28516511, 28516516, 28516521, 28516526, 28516531, 28516536?\nAnswer: 28516541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 17*u - 2. Let x(a) = -a**2 + 1. Let f(w) = v(w) + 4*x(w). Let i be f(-17). Calculate the remainder when 1\/i*-4 - -63 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) 3 (b) 1\/6 (c) -101 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 3*n**2 + 6*n + 13. Calculate v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a + 48. Let h be z(-7). Suppose 2*l - 5*d = h, -16*d - 30 = -4*l - 11*d. What is the greatest common divisor of 115 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2960606 and 18922134.\nAnswer: 435209082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 - 8 - 15*j**2 - 9*j**2 + 29*j**2.\nAnswer: 16*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46205?\nAnswer: 5, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12220 is divided by 5111.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76868670730\/13483629 + 2\/1498181. Suppose 0*j - 5703 = -j - 2*t, j + 3*t = 5707. Let c = j - y. Calculate the common denominator of c and 69\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 173092*g**5 + 86*g**3 + 246958*g**2 - 4 wrt g.\nAnswer: 10385520*g**2 + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 1\/4, 1\/2, -0.4, 63?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1218075*i**3*l - 107*i**2 - 21*i*l - 62 wrt i.\nAnswer: 7308450*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) 396 (c) 387 (d) 0.4 (e) 16 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 - (-17)\/3. Suppose r - 947 = -4*r - 4*f, s*r = -2*f + 951. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 - 23*j**2 - 18*j + 3. What is the tens digit of l(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-8))\/(-1))\/((-10)\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -355, 16, -5, -0.05, 1\/4 in decreasing order.\nAnswer: 16, 1\/4, -0.05, -1\/5, -5, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/15 - z**4\/3 + 39*z**2. Factor n(y).\nAnswer: 4*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 7 - 7)*(-4993 - 82*w**3 + 4993) + 9*w**4 - 2 - 2*w**4 - 2*w**4 to z*w**4 + t + d*w**3 + i*w**2 + j*w and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyffyfffycfffycfc. Give prob of sequence fc.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1558 - -2185. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10054, -4, 143 in decreasing order.\nAnswer: 143, -4, -10054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -5. Suppose -3*r + 4*h + 279 = 0, j*h + 0*h = -3*r + 279. Suppose -2*q - r = -5*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 4*n + 16, -12*f = -7*f - 3*n + 20 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**3 - 10202*s + 10202*s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 38. Which is smaller: b or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/6 - (-2)\/4. Suppose 3*x + 3*q = 7*x - 4, q - 4 = s*x. Round x to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = -14*j - 56. Solve -5*z = i - 20, -6*i - j = 4*z - 10*i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1934847 is divided by 501.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 456888 divided by -3\nAnswer: -152296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 + 50*z - 152. Calculate l(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -300 - -196. Let k = 107 + l. Solve -5*a = -3*d - 37, 3*d + d + 31 = k*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:06 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 5) in base 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 844*u. Let y(s) = 4*s**2. Determine y(j(l)).\nAnswer: 2849344*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 81*m**2 + 115*m + 175. Calculate d(-42).\nAnswer: 637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/18)\/(440\/(-1584)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (5 + -9 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63237*q**3 + 18784*q**3 - 24404*q**3 + 38533*q**3.\nAnswer: 96150*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22771307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -5 (c) 7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4705295 is divided by 224061?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302.516 + -302. Let x = f + -117.016. Round x to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 16. Let r be h(14). What is the nearest to 5.6 in r, 2\/5, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52067437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00062735 rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 175 + -76. Let s = -95 + r. Let t = -1.2 + -3.8. Which is the third biggest value? (a) t (b) s (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9260*h + 1324309. Give z(-143).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3004*h - 192560. Give r(-64).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 62.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -835076, -1670169, -2505262, -3340355, -4175448?\n\"Answer: -835093*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1775702a + 0?\nAnswer: -1775702a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3100.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 18778, 1, 7, -2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5875003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1608, -1605, -1602, -1599, -1596?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 759 - 2*g + 2207 - 731 + 4*g - 4*g to u + l*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 31*a**2 + 146*a + 1144.\nAnswer: (a - 22)*(a - 13)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19 and -0.1?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let p be 0\/(1 - w)*(-3)\/6. Let y(j) = -j**3 + j**2 + 2*j + 491. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24798972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4221 - -0.7221. Which is the closest to 3? (a) -4 (b) 42\/5 (c) k (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*f - o, -2*f + o - 4*o + 14 = 0. Suppose f*s - 72 = s. Solve -s = -4*c + 6*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/10, 0.0863 in decreasing order.\nAnswer: 0.0863, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8762 and 13?\nAnswer: 8762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 < 323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*t = -143*t + 84. Let q = t + 32. What is the smallest common multiple of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 11:22 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66539, -133077, -199615, -266153?\n\"Answer: -66538*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 82. Give j(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(3630))\/(sqrt(48)\/((sqrt(16) + ((sqrt(64) - sqrt(16)) + sqrt(16) - sqrt(16)))\/sqrt(2))))**2.\nAnswer: 242000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31599324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*d + 1234, 3*d = 4*d + 4*c - 614. Calculate the least common multiple of d and 8.\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -7 (b) -43.694 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and (-14 - 1)*-2 + (2 - 2).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + -0.3. Let q = -5 - -3. Let d = u - q. What is the closest to d in -0.2, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -17\/12*r**4 - 2 + 21*r + 0*r**3 + 0*r**2. Let z(j) = 6*j. Give t(z(i)).\nAnswer: -612*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -78*n - 394. Determine s(-3).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2643 + 2694. Solve 31*f - 11 = k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -214*u + 41. Let s be t(5). Does 11 divide (-45178)\/s - 2\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94\/45 - 20\/9. Let f = 4\/57 - 158\/627. Which is the nearest to -1? (a) f (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*o - 4*b, 0 = 4*o + 2*b + 2*b + 8. What is the remainder when 40*((-4)\/5)\/(-1) is divided by (2 + o)\/((-1)\/17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3229 divided by -8.\nAnswer: 3229\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568 and 1286520?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i - 122 - 52 = -16*i. Which is the second biggest value? (a) i (b) -0.016 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 4*d**2 + 4*d + 6. Let y be x(5). Let c(k) = 4 + y - 6*k + 0*k - 3. Let f(z) = -17*z + 5. Give 11*c(h) - 4*f(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*c = -13644443 + 13652035 for c.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l + 81*l + 321*l + (-l - 3 + 3)*(0 - 1 + 2) to z*l + k and give z.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 81, 143, 221, 321, 449, 611, 813?\n\"Answer: f**3 - f**2 + 48*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -146. Calculate the remainder when 45 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -415272?\nAnswer: -415262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2 - 11\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 25 = -u + 366, -6*u - 4*g + g - 2*g = -484 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84 - 102) + 1 + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -713, -717, -715, -701, -669?\n\"Answer: v**3 - 3*v**2 - 2*v - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i**2 + 2*i + 3. Let k(a) = -a. Let f(u) = -4*k(u) - r(u). Let v be f(4). What is the tens digit of ((-1)\/(2 - 5))\/(v\/(-1023))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = 75*v - 1165 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/7 - 69\/14. Let h be 2\/(-8) + 193\/340. Let d = 2\/17 - h. Which is the nearest to q? (a) d (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2118, 2117, 2116, 2115?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:45 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 13 - (-10 + (-14 - -23))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 723554689 divided by -55658053\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*p - 57 - 63 = 0, 2*o - 100 = -3*p. Calculate the remainder when 247 is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152\/(-144)*22\/16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-370))\/(-1))\/(2*(-1)\/(-10)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5106 and 107\/44988.\nAnswer: 1664556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55781\/5230 + 18\/523. Let g = 475\/9 - 56. What is the common denominator of n and g?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, c: 6, g: 1, b: 2, z: 3}. What is prob of sequence mb?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13114 and -56.8?\nAnswer: 744875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 + 4*a. Let y be c(3). Let w = -3 - -6. Suppose -y = w*b - 6*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 98928549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/40)\/(3\/(-2)). Sort -2\/11, 4, s in ascending order.\nAnswer: s, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**4\/54 - 49*x**2\/9 + 193*x - 2. Factor f(s).\nAnswer: 2*(s - 7)*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 60 = -7*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 388 divided by -1.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/4292 and -103\/34336?\nAnswer: 34336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -203*s**2\/6 + 103*s\/3 - 1\/2.\nAnswer: -(s - 1)*(203*s - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -416 - -625. Let h be (-19)\/u*(-1 - (-2 - -3)). Which is the third smallest value? (a) h (b) 33 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 v when three letters picked without replacement from ttvvtvtttvttvt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 12:40 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 22527986, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(0 - 5*d - 1 + 6*d)*((-3 + 6 - 4)*(-4 + 4 + 1) - 2 + 0 - 7).\nAnswer: -10*d + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 4:08 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 18*i**2. Let o be h(18). Solve o = -x - 3*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6267, 12479, 18701, 24939, 31199, 37487?\n\"Answer: x**3 - x**2 + 6208*x + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -25, -443, 2.\nAnswer: -443, -25, -6, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6067 - -49579. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -5*(0 + sqrt(252)) + 3 - 4*(sqrt(252) + (sqrt(252) - (sqrt(252) - (sqrt(252)*2 + -3)))).\nAnswer: -96*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 3*q - 281 = 43 for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -30989*q - 16. Let b(w) = 49*w. What is z(b(k))?\nAnswer: -1518461*k - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2075\/(-675) - 8\/(-108)) + 8. Let a(o) be the first derivative of 0*o**2 - o**4 + 1\/5*o**z + o**3 + 0*o + 20. Determine k so that a(k) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 28*p + 22*p + 0 + 2*p.\nAnswer: 52*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-3)\/18*2. Suppose -f = 6*m - 2*m - 12, -f = -4*m + 20. Let y = f + 3. What is the nearest to n in y, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1333*f**2 + 31979*f - 156. Determine l(-24).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8187*c + 12278 = -7310*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 12*u**2 - 12*u - 9. Let n be z(-11). Solve -4*x + 2*s = -12, -32 = -2*x - n*x - 3*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -322778, -323830, -325586, -328046?\n\"Answer: -352*q**2 + 4*q - 322430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 73.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 - 78 - 250*t - 227*t - 95*t in the form v + o*t and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + -53. Suppose -3*y - 2*t = 1 - z, -4*y + 2*t + 66 = 0. Suppose -3*v + y = -81. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 110352141?\nAnswer: 110352137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 301540255 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11*7.185\nAnswer: 79.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:37 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 70.2 * -0.2\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -0.16201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 2*w - 4*r, -2*w + 5*r = -3*w + 109. Suppose -5*l + w = 9. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -108 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/12 + 305*l**4\/3 + 2450*l**3\/3 - l**2 + 280*l. Solve x(m) = 0.\nAnswer: -2, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 6:29 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5614 + -26564?\nAnswer: -35511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -1076.\nAnswer: 1075.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 2077, 4675, 8313?\nAnswer: 12991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -317 + 450. Let l = q - -120. Suppose 0 = i - 4*i + 69. Calculate the greatest common factor of l and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3656988732 to the nearest one hundred thousand.\nAnswer: -3657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-11)*t\/(t**(-1\/29)\/t))**(4\/15))**17)**13 assuming t is positive.\nAnswer: t**(-68068\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2253 + -2254. What is the nearest to 2 in t, -0.1, -3.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 8 = -4*s + g, 0 = 3*s + 5*g + 22. Suppose 0 = -5*z - s - 4. Let u be -3*(-1 - -2)*z. Solve 20 = -2*r + 6*i - i, u*r - 4*i + 16 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -997*s**3*y - 159*s**2*y + 1999345*s*y wrt s.\nAnswer: -5982*s*y - 318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d = -2*u + 18, 3*d = 2*u - 13. Let m = -155.9 - -156.1. Is u greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) -0.5 (c) -8 (d) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**3 + 5*f + 4. Let j(s) = -6*s**3 + 5*s + 5. Let i(v) = -5*d(v) + 4*j(v). Find the second derivative of i(p) wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 2*w**3 - 3*w + (2*w**3 - 2*w**2 + 2*w**2)*(1 + 1 + 0).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133050437186374513.9 - 133050530385799668.89999661. Let g = t - -93199424612. Let u = -543 - g. What is u rounded to 7 dps?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k. Suppose -4*x = 5*o - 19, -5*o - 5*x + 20 = -0*x. Let n be 0 + 3 + 4\/2. Let s(t) = n*t - o*t - 4*t. Determine s(j(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*f + 18 - 18)*(2 + 4 + 0)*(-10*f - 4 + 2 + 6*f) in the form t*f + r*f**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12, -5*p - 94594 + 9519 = -5*t. What is the highest common divisor of 134 and t?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -12. Suppose 0 = -h*o + 5*o + 16. Let y(z) = -z**3 + 13*z**2 - 12*z + 5. Let m be y(12). Solve -m*q = -q - o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x + 39. Let b be v(-5). Let g = -0.25 - 0.11. Let i = 0.06 + g. What is the closest to -0.1 in i, b, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -4) + -6*9\/54. Let w(u) be the first derivative of 5\/2*u**2 + 1 + u - 1\/3*u**3. Give w(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 34356?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32205 + 111422?\nAnswer: 57215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18863586.\nAnswer: 2, 3, 7, 149711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30713 = -7*h + 7536. Let q = h - -6322. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 3*a - 15. Let y be c(6). Let u(g) = 2*g - 4. Let m be u(y). Let h = m + 16. Solve -4*o + 6 = h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 969 or 970?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 534 + -378. List the prime factors of k.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3910, -4059, -4216, -4387, -4578?\n\"Answer: -l**3 + 2*l**2 - 148*l - 3763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (72\/(-24))\/(33\/(-44)). Solve 5 = d*n - 3*a, 0 = 5*n - 8*a + 11*a + 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from {a: 5, e: 2, m: 3, h: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4613 and 2085735?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7070 and 28620875?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 714 * 22308.\nAnswer: 15927912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5502)\/45)\/(15\/(-25)). Let f = 204 - c. Put f, 1\/4, -2 in ascending order.\nAnswer: -2, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1399908 - 0.14. Round s to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*o = -94 - 81 - 5. Solve 2\/3*y**3 + 0 + 1\/3*y**4 + 1\/3*y**o + 0*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n, 24*v - 21*v - 10451 = 2*n. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*f**3 - 5 + 5)*(0 + 4 - 6)*(17*f - 23*f + 29*f) to the form p + u*f + b*f**2 + a*f**4 + o*f**3 and give a.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 531 - 278. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q - 2*r = 202, 2*q + 1585*r + 2 = 1583*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174831?\nAnswer: 3, 101, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45547 or 45545?\nAnswer: 45547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 432\/84*7\/1. Suppose -l - 6 + z = 0. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 5 (c) 2\/11 (d) -5 (e) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -b91aa (base 14) to base 9\nAnswer: -752013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -318*n + 323. Let a be r(1). Sort 7, 1, -5, -1, a.\nAnswer: -5, -1, 1, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-4)\/(-12)*-3). Let h(v) be the second derivative of 21*v - 1\/2*v**2 + 7\/3*v**3 + 0. What is h(f)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*l = 6*l - 102, -3*l - 6 = 0. What is the remainder when 335 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:01 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2316514 or 2316376?\nAnswer: 2316514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1531405847 - -43689.8332765847. Let o = 43690 - u. Let w = o - 0.32. What is w rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 7*y**4\/12 - y + 2. Let z(l) be the first derivative of j(l). Let n(c) = -c - 5*c + 7*c. Calculate z(n(i)).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 12, 29, 62, 117, 200?\n\"Answer: c**3 - c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -267081937479 and -1.5.\nAnswer: -267081937480.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 5 (c) 0 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose t*c = 6*c - 33. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4)\/((-36)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017708 to seven decimal places.\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llff when four letters picked without replacement from {l: 7, f: 4, t: 5}.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 17. Suppose t + 39 = -3*n - n, 3*n = 5*t - 12. Let d be f(n). Let h(w) = -2*w - 14. What is the lowest common multiple of h(d) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67e - -6?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -504?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**6\/70 - 3*g**5\/28 - 13*g**4\/28 - g**3\/2 + 69*g. Solve q(n) = 0 for n.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128.8*0.2.\nAnswer: -25.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 21*d**2 + 22*d - 12. Let p be z(22). Let a be -5 + 26\/p*-2. What is the second smallest value in a, 7\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m + 3*m)*(0 + 1 - 3)*(5 - m - 5).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((38\/(-8))\/(-19))\/((-72)\/672).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20655238 and 9486.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/2 - 138887*h - 19289598769\/2 = 0. Calculate h.\nAnswer: -138887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -8. Let c = -13 + z. What is the least common multiple of c and ((-4)\/(-6))\/(11\/165)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 78. Solve j + i = -0*j - 3*y, y - 12 = 4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 5}. Give prob of picking 1 z and 2 t.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243265 is divided by 243.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, 54, 173, 292, 411?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Suppose 0 = l - n - 9, -k*n - 5 = 1. Let c be 0 + (-8)\/l + 1. Is c at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + 2 + ((sqrt(240)\/sqrt(4))\/sqrt(10))\/((-1*sqrt(9))\/sqrt(3)))**2.\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2 + (0 - -2)). Suppose 4 = -f - 0, 3*b + 3*f = r. Let m(n) = -4*n**2 + b*n**2 - 3*n**2. Let x(v) = 2*v**2. Calculate x(m(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (21\/6)\/(3\/6). Let s = 6 - z. Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 11 = -1. Let n be 6\/(-4)*(-2)\/(-1). Let i be (-2 + 7 - n) + 2. Calculate the greatest common divisor of f and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -135747*x - 542961. Calculate r(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 152 + 775 = 0. Let c = -612 - t. Solve -2*g - 45 = -c*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56469547739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063.4 minus 118?\nAnswer: -4181.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/14 - (-100)\/56. Let b be (-2 - -1)*(-3)\/6. Let 1\/2*c**5 - c + 0 - n*c**3 - 5\/2*c**2 + b*c**4 = 0. What is c?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/24969 and 101\/14268.\nAnswer: 99876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224 (base 5) to base 6.\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 20. What is the remainder when 36 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20113 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*t + 3, 3*d - d - t - 1 = 0. Let l be (-4)\/(-30)*6\/4. Factor -2\/5*i**3 + d*i - l*i**4 - 1\/5*i**2 + 0.\nAnswer: -i**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 7. Let q(g) = -6*g + 21. Let c(j) = 3*q(j) + 8*r(j). Let h be c(5). Which is bigger: -4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/70 and ((16\/(-596))\/(-4))\/((-1140)\/4503)?\nAnswer: 20860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10635000?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = 0, 4*l + 4*p - 5*p = 580. Is (-199)\/(-4)*5\/(30\/l) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 33. Let a(n) = n**2 + n. Determine a(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -5*o**4\/6 - 8*o**3\/3 - 7*o**2\/2 - o. Let h be (-18)\/(-3) + 9 + -17. Let y(g) = 3*g**2 + 5*g + 2. Determine h*v(r) - 7*y(r).\nAnswer: -r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvyv when four letters picked without replacement from thyhvvvvv.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3632115113\/1960 - 1853120. What is the common denominator of 37\/2744 and s?\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102982.\nAnswer: 2, 11, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 13*z**2\/2 - 23*z + 3234. Give c(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13124020 and 650.\nAnswer: 65620100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (270\/25)\/(-3 + 51\/15). Suppose 4 = v - l. Calculate the remainder when v is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296384471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5 + 411*j**3 - 6*j**2 + 28 wrt j?\nAnswer: 120*j**2 + 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 361 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 + 14*q**2 + 29*q - 21. Let v(o) = o**3 + o**2 - o + 1. Let d(u) = -c(u) - 4*v(u). Let l be d(19). Round l to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*k + 56*k + 3 + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 81 (c) 6\/35 (d) -140 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y**2 - 28 + 28 + (-3*y - 4*y + 5*y)*(y - 1 + 1))*(-y**2 - 2 - 1 + 2).\nAnswer: 10*y**4 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36566009 and 6429?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 125*h - 1518. Determine f(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9771*p**3 - 15*p**2 + 21*p - 51. Let q(b) = -4885*b**3 - 7*b**2 + 10*b - 22. Let u(d) = 7*q(d) - 3*x(d). Find the third derivative of u(t) wrt t.\nAnswer: -29292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6930 a factor of 173145908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s = -39*s - 16. Let w be s - 5 - (-3 + 2). Let z = 0 - 3. What is the smallest value in 2, z, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 11*v**5\/9 - 6040*v**4 - 184780*v**3\/3 - 1406320*v**2\/9 - 79232*v\/3 = 0?\nAnswer: -6, -4, -2\/11, 0, 4952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/21)\/(9451\/728 + -13). Calculate the highest common factor of o and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9915.51639 rounded to the nearest 10?\nAnswer: 9920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -3*l. Let q(f) = 8*f**2 + f. Let x be q(-1). Suppose -11*h = -x*h. Solve 2*r - 6 = h, g + 3*r = 7*r - l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 131*u - 131*u.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4924, 3209, 1494, -221, -1936, -3651?\nAnswer: -5366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*q = -98*q - 20. Let p(s) be the first derivative of 16\/3*s - 4 + 4\/3*s**q + 1\/9*s**3. Factor p(w).\nAnswer: (w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101450 (base 6) to base 2.\nAnswer: -1111111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 718 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/7)\/((-65)\/91).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 91657*y - 1008099. What is i(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 2*x**2 + 5*x + 12. Is l(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 12*t - 612 = -544, -4*o + 26 = 2*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dof when three letters picked without replacement from fffoffdoofffffoffooo.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 + 4*y - 4. Let u = -7 + 9. Suppose -2*r + 10 = 2*i, -5*r + 13 = -u*i - 5. Let m be l(r). Which is bigger: m or -9\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*p + 15 + 1, 0 = 4*p + 2*h - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**(1\/39))**(-15) assuming o is positive.\nAnswer: o**(-25\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(1\/3)*k\/(k\/((k*k\/(k**9*k))\/k*k)))\/(k\/(k\/k**(3\/8)))**(-30) assuming k is positive.\nAnswer: k**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3 - 18*c + 3 + 7 + c**3 + 0 - 17*c**2. Let y be k(18). Let a(s) = s**3 - 4*s**2 + y*s - 4 + 11*s**2 + 5 - 3*s. What is a(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*y + 4*y. Let h(k) = -k**3 + 4*k**3 + 2*k - 4*k**3. Let l be h(-2). Put 2, l, y in increasing order.\nAnswer: y, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9141984 and 1440?\nAnswer: 45709920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (598\/378 - -2). Let p = j + 8\/27. Which is smaller: p or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 365666684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90645 + -1299?\nAnswer: 8a357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30881 - -7?\nAnswer: -30877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0116981 rounded to four dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -2\/5, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 27*h - 5. What is x(27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26467, -25588, -24703, -23812, -22915, -22012?\nAnswer: -21103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5321 + -7442.04. Let o = t + 2165. Let r = o - 43. What is r rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -8, 79, 163, -24, 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13860471 is divided by 596.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -77*z**2 + 27*z + 79. Let f be t(-5). Round f to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 6*j**2 + 9*j + 54.\nAnswer: -(j - 3)*(j + 3)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128304.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32\/79 - -9367\/474. Find the common denominator of w and 3 + (-411)\/(-18) + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5416 by 73559.\nAnswer: 5416\/73559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7764 and 87704732?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 8:25 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*t - 225 + 64 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.96798 to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -85) + -118 + -29?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 10 - (91 - 92).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**2\/5 + 5*w + 18\/5 = 0.\nAnswer: -2\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 287 - 71. Let t be 12252\/r - (-2)\/(-4). Let n = -56 + t. Which is the closest to 1\/2? (a) 0.5 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46738761*r**3 + 48632230.\nAnswer: -140216283*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189*b**3 - 2086*b**3 + 109*b**3.\nAnswer: -1788*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150808, -301618, -452428, -603238?\nAnswer: -754048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195507394.\nAnswer: 2, 241, 587, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -120, -159?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*m - 4*s - 18, -46 = -4*m + 3*s. Suppose -4*c = -m*c + 438. What are the prime factors of c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + r + 20 + 11, -3*r = -o + 16 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 10. Let c be k(8). Suppose 4*h + g - 55 = 0, h - 5 = c*g + 11. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5196 and 3514228.\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6675 at most 6674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and 33\/3119?\nAnswer: 28071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y + 256. Calculate i(37).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + y. Let k be p(0). Suppose k*m - 4*m + 28 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - u. Let w(g) = 7*g**2 - 8*g. Let m(d) = -6*l(d) - w(d). Let q(i) = 3*i**2. What is q(m(o))?\nAnswer: 3*o**4 - 84*o**3 + 588*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.01 - 3. Let g = f - -0.29. Let m(x) = -x**2 + 7*x - 3. Let z be m(6). Sort -2\/13, g, z in decreasing order.\nAnswer: z, g, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*l - 234306 = 2115943 + 337551. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*t, -4*z + 154 = -t. Let r(l) = 2*l**2 - 32*l - 166. Let d be r(-7). Calculate the highest common divisor of z and d.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 17*g**2 - 31*g - 23. Let w = -2413 + 2398. Determine j(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30509605 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 250, 483, 716, 949, 1182?\n\"Answer: 233*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 - (-2)\/10. Let u(z) = h + 12 - 8*z + z - 3. Is u(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let u(r) = 2*r**2 + 3*r. Let g be 2\/(5\/(15\/(-2))). Let a(d) = 3*d**2 + 4*d. Let o(n) = g*a(n) + 4*u(n). Calculate o(p(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122.489061258 - -81.087432355. Let o = f + 0.401632203. Let z = -41 - o. What is z rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3177*s**3 - 9*s**2 - 2*s + 156515 wrt s?\nAnswer: -9531*s**2 - 18*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4218.\nAnswer: 2, 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 - 2*q - 3. Let x(f) be the first derivative of 3*f**4\/4 + 2*f**3 + 3*f**2 + 8*f + 3. Determine 8*m(k) + 3*x(k).\nAnswer: k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6797.8763 to the nearest 10.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 15. Suppose 3*r - 3*f + 17 = -1, 5*f = -5*r - 60. Let a be m(r). Suppose 2*y + 1800 = a*y. What is y rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15465739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 21. Solve 2*g + 5 = -m + 12, -m + b = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157153\/16 - 9826. What is the common denominator of z and 53\/38?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.0655 (b) 0 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zcxxp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3192, -6329, -9466?\nAnswer: -12603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*j + 1 = j, -5*v - 3*j = 3. Let c be (-3)\/(-3) + -1 - v\/(-2). Sort -1, -1\/4, 12, c in decreasing order.\nAnswer: 12, c, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271757655 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211915*o**3 - 2*o**2 - 8840*o - 10 wrt o?\nAnswer: -1271490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 448632?\nAnswer: 1\/149544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1699980 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Let a be 6 - (10\/2 - 2). Let q(z) = -4*z**3 + 6*z**2 + 4*z + 10. Let g(m) = m**3 - 2*m**2 - m - 3. Let h(p) = a*q(p) + 10*g(p). Give h(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83923\/19122 + -2\/28683. Find the common denominator of -1\/32 and c.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40434 divided by -6.\nAnswer: 6739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-81 - -2) + (4 - (-5 + 9)). Is k at least -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p\/(p*p**0*p)*p)\/p)**(-1\/9)*(p*(p\/p**(2\/5)*p)\/p)**3*((p*p**(-3\/5))\/(p\/(p\/p**(1\/4))*p))\/(p*p**1)**(-17\/3) assuming p is positive.\nAnswer: p**(2731\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 78*a - 24*a - 24*a - 31*a. Calculate t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s*y**4 + s*y**2*z + 401*s*y**2 + 2*s*z - 962*y**3*z wrt y?\nAnswer: 24*s*y - 5772*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*n + 1024 = 0, 5*r - 2551 = -2*n + n. Suppose -612 = -528*g + r*g. Suppose 236 = 3*f - 19. Calculate the greatest common factor of f and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 72 = -3*h. Let m be h\/(-4)*4 + 2. Let p = m - 14. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -477 - -534.4. Let r = t - 57. Let i = 0.9 + 0.1. What is the biggest value in r, -0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/1)\/(6*8\/288) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 20, 0.5, -5\/2, 28, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*q + 34, -2*q + 0*q - 1 = l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -1.7?\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7022243315 - 7022243315 - 164*p.\nAnswer: -164*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120887888?\nAnswer: 2, 11, 686863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4180.\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/(-20*66\/(-2400)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2147992 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + -7 + 50\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 2, e: 1, u: 1, q: 2}. What is prob of picking 1 p, 1 r, and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4 - 4697036*q**3 - 5515541493358*q**2 - 11031068895612*q - 5515532099289 = 0.\nAnswer: -2348517, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 6 - -2 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - 4*o + 4*o)*(0*o**3 - 7*o**3 + 2*o**3 + 2*o**3 + 0*o**3 - 3*o**3 + (2 - 6 + 2)*(o**3 + o**3 - 4*o**3) + 3*o**3 - 2*o**3 + o**3 - 4 - 2*o**3 + 4).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/6 - (-14)\/(-84). What is the closest to 0 in 0.2, p, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = j + y, 7 - 16 = -j - 3*y. Let z be 12\/(-72) - (-62)\/j. Suppose -z*u + u = -172. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {g: 2, y: 1, q: 1, l: 4, b: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 6:46 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(1*sqrt(90) - sqrt(90)))\/(sqrt(24)\/sqrt(4)*-5))\/((2*(sqrt(40) + (sqrt(40)*-2 - sqrt(40))))\/(sqrt(200) - -2*sqrt(200))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93078 and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2444056 divided by -611014.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*j + 119*j + 29*j**2 - 30*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-36 - -14 - (-8 - 5))) + -22\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2011350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4*4\/(-22). Let y = 37\/129 - -2\/43. Let n = -3381 + 3371. Sort n, y, a in descending order.\nAnswer: y, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188400?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 2 - (0 + 0). Let r(p) = 24*p + 1. Let q(y) = -123*y - 5. Let g(m) = -3*q(m) - 15*r(m). Calculate g(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/(-14)*(-14)\/4 + 160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 1, c: 4, v: 3}. Give prob of sequence xcv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 55758901 divided by -4?\nAnswer: -55758901\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnzn when four letters picked without replacement from {n: 3, f: 1, z: 3, g: 13}.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 + -152. Let d = -11 + 7. Sort g, -1, d in increasing order.\nAnswer: d, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/23, -1\/2, 2.5 in descending order.\nAnswer: 2.5, 6\/23, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -46434, -46226, -45882, -45402?\n\"Answer: 68*y**2 + 4*y - 46506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13 = -2*m, -30*q - 18 = -50*m + 48*m - 34*q for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x + 63 + 5\/6*x**6 + 2*x**5 + 0*x**3 + 0*x**2 + 5\/4*x**4. What is f in n(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -524.0856 - -0.0856. Let h = b - -514. Let s = -6.3 - -6. Put s, 0.5, h, -5 in ascending order.\nAnswer: h, -5, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, s: 14}. Give prob of sequence pssx.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.032051 in -2, 2, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 2*r - 78, r + 3 = -0. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -24, 9, 62, 141?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000111000100 (base 2) in base 10?\nAnswer: -8644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 175653 divided by -673\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -224 = -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28089821663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.76899 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13253 + 143*m - 13253 + (5*m - 2*m - 4*m)*(2 + 4 - 4) - 4*m + 2*m + 0*m - 2 + 2 + m + 3*m + 2*m - 3*m + (2 - 3 + 4)*(-m - 3*m + 2*m).\nAnswer: 136*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/9)*y**(-10)*y*y*y**(8\/3)*y*y**(-7)*y assuming y is positive.\nAnswer: y**(-91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*h + 6114 = 6*o, -2 = 2*h. Suppose 5*a - 40 = -4*g + g, 4*g = a + 38. Suppose g*y = -197 + o. What is the highest common factor of y and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*t + t + 1081, -3*a = t - 279. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -2\/7 (c) -185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 481*i**2 + 6084*i + 720. Determine b(468).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 19*z. Let u(h) = -233*h - 14. What is -5*i(k) - u(k)?\nAnswer: 138*k + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-396)\/(-330))\/(((-8)\/(-10))\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + sqrt(75) + -3 + -3.\nAnswer: -6 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2828*p**2 + 4164*p - 440.\nAnswer: 4*(7*p + 11)*(101*p - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-1))\/((-6272)\/8960)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 9*k**2 - 13*k - 6. Let t(f) = f**3 + 9*f**2 + 12*f + 7. Let z(s) = 3*c(s) + 4*t(s). Suppose -13 = 4*r + 19. What is the units digit of z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/27)\/(77\/231).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n. Let z(t) = -12*t**2 + t - 12. Determine r(z(g)).\nAnswer: -48*g**2 + 4*g - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 716*r**5 - 3*r**4 - 35*r**2 + 9.\nAnswer: 42960*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(1 + (-1)\/2). Suppose 0 = y - 2, -4*y - 4159 = c*i + 2493. Round i to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 641 - 640.99149. What is u rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -505.99304 + 506. What is g rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2619586 (base 10) in base 11?\nAnswer: 152a152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*d + 9 = c, 4*c - 23 = 3*d. Let b be -7 - -8 - (-9)\/3. Solve 3*u + 5*f = 0, 21 = c*u - b*f + 58 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/4, -0.4, -4, 10\/27?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q + 633. Let d be c(48). Do d and -2286\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 3)\/(0 + -2). Let k(n) = 11*n**3 + 2 + 6*n**2 - 4*n - n**3 - 11*n**q + n. What is k(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 40 = y - 2, 0 = y - w + 28. Calculate the common denominator of ((-3)\/(-66))\/(2\/(-26)) and 297\/y - 6\/(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 3*s + 3*s + (-2*s**3 + 2*s**3 - 2*s**4)*(3*s + s - 5*s) - s**5 + 2*s**5 + s**5 + 2*s**5 + 3*s**4 - 4*s**5 + 0*s**4.\nAnswer: s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvffvvfvvvfvfvvfvv.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k - 3. Let f be g(-1). Suppose 0 = -f*t + 3*t + 2. Suppose 5*m + 3 = 2*y - 4, t*y - 4*m - 8 = 0. Solve -21 = 3*o - y, 5*o + 17 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b + 0 + 1\/6*b**4 + 0*b**3 + 12*b**2. What is w(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 3 - 3. Let o(u) = -12*u - 9*u + 10 + 12*u - 10. Determine w(o(h)).\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1043 + 1043. Sort 1\/4, c, 4, 0.5 in increasing order.\nAnswer: c, 1\/4, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762462 is divided by 28239.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8661 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + 2 - (-2 + -2 + 5) - 7. Let 3\/4 - 21\/4*x + 9\/2*x**l = 0. Calculate x.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1908, 3875, 5856, 7845, 9836, 11823?\nAnswer: 13800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -272. Let k be -2 - ((-28)\/y + -7). Let p = -8 - -7. What is the nearest to 0.1 in 3\/8, p, k?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10111010011001100010?\nAnswer: 10111010011001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94 times 3676\nAnswer: 345544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 - 2.83. Suppose 5*q + 11 = -2*o, 6*o - 2 = -q + 7*o. Sort q, 19\/5, j in increasing order.\nAnswer: j, q, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 12. Let b be (-4 - 0\/y) + 1. Let w be (b\/(-4))\/(3\/6). What is the smallest value in 2\/9, w, 3\/8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 123420*v**3 - 10714833*v**2.\nAnswer: -3*v**2*(v + 87)*(v + 41053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1650)\/(-297) + 4\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/115*348\/2436\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628460834.\nAnswer: 2, 19, 401, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/52899 and -37\/1543689.\nAnswer: 16980579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnqvq. Give prob of sequence vn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 10:05 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-5)\/105). Let b(k) = k**2 - 6*k - 5. Let j be b(l). Solve 10 = j*d - i, 4*d + 7*i = 2*i + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 - -192. Let d = q + -32. Let j = 35.0104 - d. Round j to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**6\/n)\/(n*n\/n**4)*(n*n*n**(1\/4))**(-7))\/(((n\/(n\/(n**(1\/5)*n)))\/(n\/n**3*n))\/(n*n**(-2\/7))**(-13)) assuming n is positive.\nAnswer: n**(-2693\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2. Let m(u) be the first derivative of -u**3 + 5. Give l(m(p)).\nAnswer: 45*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 3*j + 2. Let m be o(-1). Suppose -m*b = 3*b. Solve -2*n + 3*n + 4 = b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55602699 rounded to four dps?\nAnswer: 0.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0*y**4 + 1\/5*y**5 + 48*y - 1\/3*y**3 + 1\/2*y**2 + 0. Determine p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1464191190 and 1?\nAnswer: 1464191189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) -3\/266 (c) 0.3 (d) 527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62, -39, -16, 7, 30?\n\"Answer: 23*o - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -61.4, -2\/111, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(6)\/sqrt(3)) + (2 + sqrt(76))**2.\nAnswer: 9*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 2:36 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-108\nAnswer: -107.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 489\/2 - 239. Let h = r + -35\/6. Which is the third biggest value? (a) -0.1 (b) -1 (c) -4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 362.\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 139*h**4*r - 326*h**3*r - 5*h**3 + 41*h**2 - 28910*h*r wrt h?\nAnswer: 3336*h*r - 1956*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 78089?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -39.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 12*m + 9. Let b = 18 + -5. Let o be i(b). Let f = o - -4. Solve f*r + 20 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 317 divided by -450980\nAnswer: -317\/450980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:21 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004021269 rounded to 4 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 8*i + 4*t - 5135, -2*t + 8549 = 5*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/((-20)\/5) - 4. Suppose 8 + b = r. Sort -5, r, -4 in decreasing order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.97 and -0.265401.\nAnswer: 0.25743897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 25. Let g = 6.3 + -1.3. Which is the smallest value? (a) g (b) d (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -272, -271, -238, -161, -28, 173, 454?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - 6. Let f = 25 + -4. Calculate the remainder when f is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 7*u - 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (11 + -25 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, n: 7, s: 2, b: 2, g: 2}. Give prob of picking 1 s, 2 b, and 1 n.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (3\/(-2) - (26\/6 - 190000\/14880))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 9*t**2 + t + 4. Let k(v) = -v**3 + 9*v**2 - v - 5. Let i(w) = w**3 + 30*w**2 + 5. Let h be i(-30). What is h*j(n) + 4*k(n)?\nAnswer: n**3 - 9*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 11*h**2 + 2*h + 2. Let q be c(11). Suppose 0 = -7*b + b + q. What is the hundreds digit of (b\/(-2) - 0)*-82?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.1 - -17.9. Let d = y - 88. Which is bigger: d or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43 - -31) + -16 - -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -21*x + 16. Let m(p) = 21*p - 10. Give 2*l(c) + 3*m(c).\nAnswer: 21*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-7)\/(-220))*(-11)\/(-22). Suppose 0 = -a + 144 + o. List the prime factors of a.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.041025 * 382\nAnswer: 15.67155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 863, 1470?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 157. Let g be 75\/(-36) + (-147)\/u + 5. What is the third biggest value in 0, 0.6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.01, 4, 3, -2\/7, 1\/12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {x: 1, m: 1, c: 1, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*i + 707*i + 945 = 368*i for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1746496 or -1746495?\nAnswer: -1746495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - -86. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 4557.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -4. Let p be ((-6)\/(-8))\/(3\/l). Let h be p\/(-18) + 0 - 0. Which is the biggest value? (a) h (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*16\/4 - (-206)\/2. Factor -4*c**4 + 112*c**3 - 107*c + s*c.\nAnswer: -4*c**3*(c - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/5 + (-58106)\/(-85). Let q = y + 888. Suppose 6*n - 2*n = q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*4*36\/140*5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*y = -3*k + 24, k - 322 + 303 = 3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 36 = -5772*u + 5770*u, -u - 3*w = -9 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1149 is divided by 185.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 3. Let q be b(4). Suppose -3*p = z - q, -21 = -2*p - 3*p + 3*z. Suppose 3*n - 5*n - 9 = -3*m, p*m + 5*n = 9. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9)\/((-16)\/18). Let q = 9 + -6. What is the smallest value in -2\/3, q, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 893171\/42 + -21268. Let o = -9\/14 + a. Let d be 0*(-2)\/4 + -4. Is d bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 5*i + 26. Let r(h) = -3*h - 40. Let l be r(-16). Let g be q(l). Solve -g*y + 5*y = -2*j + 14, y - 5 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/10 - -9 - 4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1117*j + 1114*j = l - 29, -27*j + 5*l - 18 = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1750.22 - 1750.2. What is the closest to f in 0, 0.0669, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 1 - 1)*(-2*l + l + 2*l) + l - l + l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j**3 - 386*j**2 - 832*j - 184 = 0.\nAnswer: -46, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187950.1ng to micrograms.\nAnswer: 187.9501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2 - 3. Let d(v) = -v**3 + 5*v**2 - 9*v. Let l(n) = -n**3 + 6*n**2 - 10*n. Let z = 1122 + -1116. Calculate h*l(y) + z*d(y).\nAnswer: -y**3 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32520\/47 in 0.4, 8, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**4 + 80*q**2 + 734*q + 6. Let w(b) = b**4 + 81*b**2 + 733*b + 5. Let i(o) = -5*u(o) + 6*w(o). What is the second derivative of i(v) wrt v?\nAnswer: 12*v**2 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1249637 - 2.654968. Let h = j + 0.53. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-8) + 1\/(-4). Let o be (-11)\/(-2) + (-2)\/(-4). Let m(d) = 1 - p + o*d. Determine m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04084 + -19.95916. What is the closest to 0.1 in f, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4 + 0 + 7 - 5*w + w - 2*w**2 wrt w?\nAnswer: -4*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 42\/5 of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.1488 months to decades.\nAnswer: 2.20124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c**2 - c**2 + 3*c**2 - c**2. Let m(j) = -2*j**2 + 5*j**2 - 2*j**2. Give m(h(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 3 + 1 + 2*m + 0 as d*m**2 + v + p*m + b*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(208)\/sqrt(4)*3)\/(sqrt(4) + sqrt(192)\/sqrt(3)) + -3*(-2 + sqrt(637) + sqrt(13) + 3)).\nAnswer: 12 + 468*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 16. Let y be o(10). Solve 4*z + 2 = 6*z + 3*x, -3*x + y = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 5*g - 2233 + 2146, -3*g = -3*l - 60 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) - (-33)\/(-30). Let a = -599\/30 - b. Calculate the common denominator of 49\/18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 206, 193, 156, 83, -38, -219, -472?\n\"Answer: -2*c**3 + c + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1392 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6351, 1, 2 in decreasing order.\nAnswer: 2, 1, -3, -6351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvyyvyvvy. Give prob of sequence vy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 6 = 0. Let t be 52\/(-44) - (-6)\/33. Put 0, g, t in descending order.\nAnswer: g, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q - 33 = -5*s, 4*s = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 - 3*q**2)*(15*q - 29*q - 18*q) + (4 - 4 - 2*q**3)*(-1 + 2 + 0) - q**3 - 3*q**3 + 2*q**3.\nAnswer: 92*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: (-272)\/(-336) + 6 + (-80)\/14 + -1\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 - 14*r**3 + 16*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3 - 16071*s**2\/2 - 6025*s + 4017\/2 = 0?\nAnswer: -4017, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3968536 by 13876.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z + 0 + z**2 + 1\/40*z**6 + 0*z**5 + 0*z**4 - 1\/3*z**3. Find the first derivative of d(i) wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/10 - (24\/(-15) - -5). Let u be (-2)\/a - 87\/58. Put u, -12, -4 in decreasing order.\nAnswer: u, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23153.8 less than -11676.65?\nAnswer: -34830.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a kilogram in grams?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tctcttttttttttcttt. What is prob of sequence tttt?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 6*n**2 - 29*n**3 - 26*n**3 - 5*n**2 + 5*n**2.\nAnswer: -55*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4.648, -0.3, -2?\nAnswer: -4.648","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11589775, -23179577, -34769379?\nAnswer: -46359181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v - 3 + 2\/3*v**3 + 0*v**2. Let n(p) = -3*p**2 - 2. Let d(s) = 4*s**2 + 3. Let c(m) = 2*d(m) + 3*n(m). Give c(q(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*((s*s**(-2\/7)\/s)\/s)\/s*s*s)*s)**(-2\/39)*(s\/s**(-5))\/(s**(1\/3)*s) assuming s is positive.\nAnswer: s**(1256\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + o + 53, v - 13*o = -11*o + 22. Suppose -12 = c + 3*w, 4 = -5*c - 4*w - 1. Calculate the greatest common divisor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o + 0*o**4 + 4*o - o**4 + 14*o**4 + 275*o**2 - 275*o**2 + (2*o**3 + 0*o**3 + 0*o**3)*(-o - 3 + 3) to a + z*o**3 + d*o**2 + f*o**4 + t*o and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*(639\/6)\/((-6)\/(-2)). Suppose -5*o - p = -f, -2*f = 2*o - 3*o - 381. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500282187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*k + 15*k - 12*k)*(-6 + 3 + 0) to the form y*k + n and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 5 + 15*h - 8*h - 3*h**2 + 5 to the form p*h**3 + x*h**2 + i*h + n and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 381 divided by 175\nAnswer: 381\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2715 + 2677 + 0 + 87.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.184393?\nAnswer: 0.184393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94391 is divided by 1347.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 913, 621, 341, 73, -183?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)*a*(a\/(a**8*a*a))\/a*((a*a**7)\/a)\/(a\/a**9) assuming a is positive.\nAnswer: a**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 1\/60*n**5 + 0*n + 0 + 0*n**3 + n**2 + 0*n**4. Let f(i) be the first derivative of i**3 - 74. What is f(m(w))?\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/33 - -125\/231. Which is the second biggest value? (a) 2\/5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-1)*4\/2. Suppose -3*k - 3*m + 21 = -0*m, 0 = -k - 4*m - u. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12935, -12935, -12927, -12905, -12863, -12795, -12695, -12557?\nAnswer: -12375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2 - 8. Let p = -5 - 25. Let x = p - -34. What are the prime factors of w(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -312 + (0 - (-6)\/(-2)). Let l = s - -3153\/10. Let q = 2 + -1. Which is bigger: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*f, i + 4*f - f = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15146c (base 14) to base 4.\nAnswer: -2303011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32939, 36522, 40105, 43688, 47271, 50854?\n\"Answer: 3583*r + 29356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2576)\/24)\/((-4)\/114). Let c = b - 4526. Let r be c\/45 - (-2)\/(-5). Round r to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -2\/17807473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from {u: 17, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**5\/55 - 5*j**4\/11 - 14*j**3\/11 + 4*j**2\/11 + 56*j\/11 - 5840. Determine t, given that y(t) = 0.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let o(p) = -2*p + 2 - x. Let y(f) = 8*f - 6. Let m(d) = -8*d + 5. Let v(g) = 6*m(g) + 5*y(g). Determine v(o(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v - 6. Let r be z(-4). Suppose r = -5*j + 6*j. Suppose -5*n + 2*g + j = -1, -g = n - 11. Solve -n = -2*a - o, -3*a + 0*a + 3 = -o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.2 (c) 6145 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 40318901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*j - 275. Which is bigger: -40 or j?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237 a factor of 2379049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let l(i) = 3*i**2 - 4*i + 4. Let w(x) = 12*x**2 - 15*x + 15. Let k(g) = -15*l(g) + 4*w(g). Calculate k(z(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from zzlypklk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-8 - -9 - (4 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*l - 5*l + 40, 0 = -4*n - 8. Suppose l*y = 13 + 77. Sort -1, 3, 0, y in descending order.\nAnswer: y, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7739 + 7738.7. Let k = 34 - 32. What is the nearest to j in -0.2, k, 2\/5, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + p**2 + 2*p**2 + 1043*p + 3*p**2 - 123*p in the form c*p + h*p**2 + r and give c.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 6 - 8 + u**2 + (0 - u**2 + 0)*(-3 + 0 + 6) + 54*u**2 + 129*u**2 + 6*u**2 to w*u**2 + f*u + t and give w.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4 (b) 3 (c) -0.3 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**2*w**2 + 32178*n**2 + 2*n*w**2 + 25342*n*w - 1 wrt w?\nAnswer: -4*n**2*w + 4*n*w + 25342*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 69167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324598.\nAnswer: 2, 17, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, 2, 6, 1, -4, -237919 in increasing order.\nAnswer: -237919, -19, -4, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30) - (-120521)\/(-123045) - (-6)\/(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*6\/24 - (-8)\/2. Suppose -4*r + 88 = 3*d, n*r + 2*d - 41 = 6*d. Find the second derivative of 713 - 713 - 35*u + r*u**4 wrt u.\nAnswer: 228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 798*z - 787*z - 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 - 4 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-42)\/10 + 4). Let o = -2 - j. Suppose -18*p = -o*p - 85. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69218232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.284 * -0.1.\nAnswer: -0.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -0.671, -5\/31, 3, 14?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 566*b**5*f**2*u + 4*b**2*f - 2*b*u - 2*f**2*u + f**2 wrt b.\nAnswer: 33960*b**2*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r**2\/7 + 46*r\/7 - 66\/7 = 0. Calculate r.\nAnswer: 11\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80447.17 * 3.\nAnswer: 241341.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 2\/3 (c) 0 (d) 0.4 (e) -6.621\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2999, -3, 3 in decreasing order.\nAnswer: 2999, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 714 + -1617. Let l = 896 + k. Sort l, 4, -0.2.\nAnswer: l, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.3. Let u = 0.216 - -3.784. Which is the nearest to -1? (a) 2\/9 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6749.3897119 - -6746.6897. Let z = 2.7 + r. Round z to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2033443 is divided by 486.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-50))\/((15\/5)\/(-3)*339\/565).\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17752 + -6639. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from bojfe.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2009)\/(2401\/(-49))*(-3)\/(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -340*o - 1635 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3630*p**2 + 6681*p**2 - 1516*p**2 + 2026*p**2.\nAnswer: 10821*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t = 5*n + 13*t - 5, 50 = 5*n + 4*t for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 3045?\nAnswer: -3045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 7. Let l = -1.5 - w. Which is the nearest to -1? (a) -4 (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -12. Calculate the smallest common multiple of (-4)\/y - 405\/(-21) and 4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46410.01ml?\nAnswer: 46.41001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f - t = 20, 2*t = 2*f + 56. Let v = f + 24. Solve 2*s - 8 - 2 = v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) - (-3)\/(-9). Let l be (-5)\/b*(-17)\/(-5). Let v be l\/5 + (-4)\/10. Solve j = 4*j - v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 25*b + 14. Let u be l(12). Let s = u - -151. Solve -2*v + 13 = s for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 3, 14, 5, -3 in descending order.\nAnswer: 32, 14, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2 - 3*z)*(-7*z**4 - 1 - 3 + 3).\nAnswer: 21*z**5 + 14*z**4 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5718, 1 in decreasing order.\nAnswer: 5718, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:44 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - 8 + 5*b + 3 - 2*b**2 to s*b**2 + h*b + d and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 4128?\nAnswer: 12384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 724774944 less than 0.138?\nAnswer: -724774943.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 6*o**2 + 1. Let d = -122 + 126. Let b be 10\/(-25)*14 - d\/10. Determine x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66827 + 49005 = -469*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/624 and 133\/408?\nAnswer: 10608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 381*s - 12 = 377*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 27.\nAnswer: 116\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12 + -5 - -4) - (-9 + 9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3)*k*k*k*k**(-2\/11)*k)**(-12) assuming k is positive.\nAnswer: k**(-284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17362704.\nAnswer: 2, 3, 361723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1192, 1107, 1022, 937, 852, 767?\n\"Answer: -85*m + 1277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13829191921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29484 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 17*c + 6*c + 8 + 4*c + 6*c. Let o(l) = l**3 + 11*l**2 + 6*l - 41. Determine 11*b(v) + 2*o(v).\nAnswer: 2*v**3 + v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 2, y: 1, i: 1, u: 2}. What is prob of sequence uuy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one quarters of a second?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 12.492105.\nAnswer: -37.476315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269882*-6.\nAnswer: 1619292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 356818404 divided by 6?\nAnswer: 59469734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 7, h: 3, y: 1}. What is prob of sequence yhza?\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -979*s + 3378 = -15102 - 6974 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -22. Does i = -17\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-32)\/(-112) + 23\/(-56)). Suppose -i*r + 3 = -45. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2547 + -40. Let w = -1154 - o. List the prime factors of w.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*o - 14 - 11 + 7 in the form w*o + y and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2666.\nAnswer: 2, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13677523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-280)\/(-1470)*((-294)\/(-4))\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**2 - 79*g - 5\/6*g**3 + 0. Determine k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 7. Calculate the remainder when 29 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 12, 4*u - 6 = 26*g - 24*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1. Let h = -6570849\/31 - -211963. What is the smallest value in h, -0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + v - 1. Let o(d) = d**2 - d + 1. Let z(h) = -2*o(h) - 2*q(h). Suppose 0*y - 8*y + 144 = 0. Let l(b) = 95*b - 18 + y. Give z(l(r)).\nAnswer: 18050*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/5943991?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 10 + 0 - -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90.61381 rounded to 2 decimal places?\nAnswer: -90.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s**3 + 3476*s**2 - 1308*s = 0. Calculate s.\nAnswer: -109, 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174404\/54117 - 3\/6013. Find the common denominator of -97\/88 and g.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 5*h**2 - 6*h**2)*(0 + 5 - 4) + 3*h - 56 + 113 + 2*h**2 - 43.\nAnswer: h**2 + 3*h + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 56*a**2 - 31*a**2 - 12*a + 13 - 26*a**2. Let j(l) = -l - 4. Let p be j(5). Let r be v(p). Calculate the highest common factor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483537181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010101 (base 2) to base 9.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.092 + -0.922. Let j = -3.2 + 2.68. Let w = s - j. Round w to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1820768 - -4?\nAnswer: -1820764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of h**2\/2 - 12. Let l(k) = 34*k. Let j(x) = -5*x. Let o(z) = 35*j(z) + 5*l(z). Determine o(y(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ao when two letters picked without replacement from wmwowjmwa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -384\/793645 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Let x be 8\/28 + 2*(-1)\/7. Let s = x - -2. Solve 4*o + 0*v + v - 2 = 0, n = 3*o + s*v - 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10256 + 205041\/20. Calculate the common denominator of a and 590\/(-12)*483\/(-805).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/25? (a) 1\/4 (b) -2\/43 (c) 6253 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*k**4 + 3*k**3 + 1006*k**2 + 267349*k.\nAnswer: -576*k**2 + 18*k + 2012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928807?\nAnswer: 11, 84437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 16*w**4 + 2*w**3 + 2*w**2 - 10*w. Let i(b) = -33*b**4 - 5*b**3 - 5*b**2 + 21*b. Let s(h) = 2*i(h) + 5*v(h). Find the second derivative of s(u) wrt u.\nAnswer: 168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192702316?\nAnswer: 2, 13, 2963, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 18. Let f be -4 + (1\/(-2) - 63\/18). Give g(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, x: 1, j: 1, p: 1, g: 4}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -4, 1, -151, 884 in decreasing order.\nAnswer: 884, 2, 1, -1, -4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4 = 2*n - 8*i, -3*n + 17 = 4*i. Put 0, 4, -411, n in descending order.\nAnswer: 4, n, 0, -411","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/13425 and 76\/1983.\nAnswer: 8873925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - ((3 - 3) + -1)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 10*u + 16. Let s be -10*(8\/(-5))\/u. Let h be ((-11)\/(-77))\/(s\/14*3). Which is the smallest value? (a) -2 (b) h (c) -2\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 35, 112, 261, 506?\n\"Answer: 4*t**3 + t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**4\/16 + b**3 + 3*b**2\/2 - 34. Let w(l) = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2178 and 43.1507?\nAnswer: 2134.8493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -121322200 (base 4) to base 14\nAnswer: -2a97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01000013613 to four decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -11, -4, 641.7, -5.\nAnswer: -11, -5, -4, 3\/4, 641.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 708098679, 708098677, 708098675, 708098673, 708098671, 708098669?\n\"Answer: -2*u + 708098681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.19999786 + 22.2. Round z to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 22 - 6 = 0. Is s greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Let u be (38\/4 + 1)\/(-10 + 4) + 90\/24. Suppose 0 + o*j**u + 3*j**4 - 3\/4*j - 9\/2*j**3 - 3\/4*j**5 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k - 9. Let r = -2.95 - 0.05. Which is the nearest to -1? (a) k (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:49 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257, -616, 123 in decreasing order.\nAnswer: 257, 123, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x + 14. Let g(z) = 2*z**2 + 3*z + 15. Let q(y) = -2*g(y) + 3*k(y). Let m be q(7). Is m at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 25 - 21*q)*(-2*q - q**3 + 2*q) + (2*q**3 - 15*q**3 - 2*q**3)*(-6*q - 7*q + 6*q) to t + o*q + u*q**2 + s*q**4 + a*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32917311, -32917310, -32917309?\n\"Answer: l - 32917312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g - 79*g + 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -43\/21 (c) -1\/3 (d) 114 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -5\/342853163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292\/3 - 2\/9*c**3 - 872\/9*c**2 + 1750\/9*c = 0.\nAnswer: -438, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 34 = 4*u, -2*u + 6118*h - 6120*h - 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 12 = -2*l, 0 = -4*q + 3*l - 36 + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3372 and -4.\nAnswer: 13488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 5*i**2 + 3*i - 3. Suppose -10*g = -5*g - 15. Suppose 2*f - 7 = g. Let o be k(f). Solve 2*h - o - 2 = 2*z, 0 = 3*z + 3*h + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679 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: b\"What is the xth term of -2133, -2424, -2651, -2820, -2937?\n\"Answer: -x**3 + 38*x**2 - 398*x - 1772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28723 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*w**4 + 0*w - 27\/5*w**3 + 0*w**2 + 0 + 1\/5*w**5.\nAnswer: w**3*(w - 9)*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569070 is divided by 142255?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 + 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 2*l**2 + l. Let j be i(0). Solve -4*s + 7*s = j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50385530, 100771055, 151156580, 201542105?\nAnswer: 251927630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 + -134 + (47 - 18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -98?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 0.5 (c) -1\/5 (d) -1.4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-3\/8)\/m)\/m*m*m\/((m*m\/(m*m\/(m**7*m)))\/m))**(-14))**(-6) assuming m is positive.\nAnswer: m**(-1239\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011110 - -111?\nAnswer: 1001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9808 and 38688?\nAnswer: 23715744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u - 1 + 1)*(20*u + 414 - 414) to the form f*u + s*u**2 + k and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1202 and 0.2.\nAnswer: -1201.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/8 + 7*l**3\/3 - 22*l**2. Let k be n(-6). Let y be (k + 3)\/(3\/54*2). Which is smaller: -33\/4 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -91*m**2. Let w(p) = -84. Let h(c) = 2*c - 336. Let j(n) = -h(n) + 4*w(n). Calculate j(i(s)).\nAnswer: 182*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-23)\/(-897))\/((-9)\/189)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*o**4 + o**2 + 18*o**4 + 15*o**4 - 37*o**4 + 3 to the form y*o**3 + g*o + j + l*o**2 + x*o**4 and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -505*g + 43. Is j(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*b + 74 = 11, -34 = -2*s + 4*b. Suppose 5*t = -3*f + 49, s = 2*t - f + 2. Calculate the least common multiple of t and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 13*d**2 + 14*d + 28. Let t be o(-12). Solve t*c + c = z + 10, -3*z - 16 = -c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221423030140 + -3?\nAnswer: 221423030132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeze when four letters picked without replacement from ezee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3031 in -0.5, 2\/21, 0.2, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 3, 0, -2 in increasing order.\nAnswer: -25, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 917137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-52) - 1)*4\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 + -5554?\nAnswer: -5534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149445*p**2 + 10 + 149445*p**2 - 10 - 5965*p**3.\nAnswer: -5965*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.033 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -5012.\nAnswer: -1\/2506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 33*v = -12. Does 22 divide -154*4*(-3)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11040)\/(-14352))\/(2\/(-13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 16. Suppose 0 = -4*y, -9*c - 2 = -7*c + y. Sort 9, n, c.\nAnswer: c, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 28, 36, 52, 76, 108, 148?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**3 + 10*u - 28. Determine y(4).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1242, 2061, 2880, 3699, 4518, 5337?\n\"Answer: 819*g + 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 x, and 2 s when four letters picked without replacement from {x: 1, s: 2, j: 7, c: 2, q: 1, b: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 356.88276s?\nAnswer: 0.0991341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 6*k**2 - 5*k - 12. Let s be n(-4). Let l = -40 + s. Solve -4*c = -l*c - 20, b = -c + 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let r be (-1 - -6)\/((-2)\/(-2)). Suppose -r*p + 187 = -138. Let s(z) = p - 65 - 4*z. Determine s(f(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a millennium?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 - 7*n + 7. Let v(y) = y**2 + 3*y - 4. Let c(a) = -52*a**2 + 468*a + 7. Let q be c(9). Give q*v(o) + 4*z(o).\nAnswer: -o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -470 - -545. Calculate the remainder when 221 is divided by w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 4615614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 7. Suppose 4*r - 6*r = -4. Suppose -o - 42 - 31 = 2*p, -r*p = 2*o + 72. Let m = 46 + p. What is j(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 55\/2 of a milligram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 316107 and 56547?\nAnswer: 19282527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 628191200 by 208.\nAnswer: 3020150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 - 18*w**3 + 170*w**2 - 150*w = 0?\nAnswer: -15, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -31*h + 82. Let c(v) = -76*v + 165. Give -3*c(m) + 5*s(m).\nAnswer: 73*m - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2494 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**6\/3 - 2*z**5\/5 - z**4\/2 + 2*z**3\/3 - 5. Suppose n(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.992 rounded to the nearest ten?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 125, 181, 237, 293?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/340235933 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = a + 1290, 252 = -i - 31*a + 32*a. Let x = 376 + i. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-21)*(-9 + 7 - -4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1410 or -1398?\nAnswer: -1398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182879958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6757 + -6665. What is the remainder when 914 is divided by c?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 - 3) - -11 - -71?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + 0.2. Let s = -8 + 4. Let i = s + 6. Which is the third smallest value? (a) 4 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11203010 is divided by 671.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 7*r**2 - 6*r - 19. Let x be b(4). What is the third smallest value in -0.4, 4, -1, x, -1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(3\/4)*u*u\/(u*u**(1\/3))*u**(2\/47)*((u\/(u\/((u\/(u*(u*u\/u**(4\/9))\/u)*u)\/u)))\/u)\/u assuming u is positive.\nAnswer: u**(-2701\/1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -56*v**2 + 24*v. Let g(j) = -j**2. Determine n(g(z)).\nAnswer: -56*z**4 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 23*f - 4. Let y be x(-10). Calculate the highest common divisor of 48 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 39 - 66. Suppose -2*m = 4*b - 12, -4*m = -4*b + m - 2. What is the lowest common multiple of (-4 - -2) + y + 1 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1351877811 and 0.5?\nAnswer: 1351877811.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267914, -536038, -804162, -1072286, -1340410?\nAnswer: -1608534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmjtpssrrsspjrssrjs. Give prob of picking 1 t and 1 p.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -10 (c) -64 (d) 2\/3 (e) 0.5 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - ((sqrt(84) - sqrt(84)*2) + sqrt(84) - sqrt(84))*-3)\/(sqrt(24)\/(sqrt(2) - (sqrt(2) - (1*sqrt(2) + sqrt(2)))) + sqrt(12)))**2 + 3.\nAnswer: 139\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 3*b**2 + 662*b - 1326. Let h be p(2). Solve 0 = h*l - 44*l + 378 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10103254?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + a6304?\nAnswer: a6300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10379 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 671107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 8*k**2 + 7*k - 17. Is u(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 2311417?\nAnswer: -2311419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31529 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07734501 to 5 decimal places.\nAnswer: 0.07735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -160*z + 5. Let w be k(-1). Suppose -2*h = -5*g - w, 5*h + 4*g - 340 = 2*g. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r - 269. What is q(34)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498173076.\nAnswer: 2, 3, 53, 191, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39241 + -21457. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 33*o + 12382 + 16894. Which is smaller: o or -1127?\nAnswer: -1127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9991)\/(-1236) + (6 - 4 - (-2 - -12)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/3 + 53*c**3\/3 + c**2\/3 - 53*c\/3 = 0. Calculate c.\nAnswer: -1, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(63))\/(sqrt(81)\/(2*sqrt(9))))**2 - (sqrt(180)*-4*6 - sqrt(180) - sqrt(180) - sqrt(180))\/sqrt(10).\nAnswer: 8\/9 + 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, j: 1, v: 2, q: 4, n: 1}. What is prob of picking 3 q?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.851 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -4\/3*a**3 + 0 - 1\/2*a**2 - a. Is p(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 3*p - 16, -121*p = 3*n - 126*p - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-16)*(-6)\/(-15))\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 - 188. Suppose 0 = -144*v + a*v + 20. Solve -4*h + 9*h + b = -28, -v*h + 2*b = 14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10 + 665 + x - 675 - 2*x. Let h(l) = -13945*l. Give h(r(k)).\nAnswer: 13945*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1908)\/720 + (-10)\/(-8))*(-55)\/88\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.72*0.5\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.26066 micrometers to kilometers.\nAnswer: 0.00000007926066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 48. Is 22 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -24591, -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11201122210 (base 3) in base 6?\nAnswer: -1554503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -34030 (base 8) to base 10\nAnswer: -14360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 17*z + 33. Let c be a(15). Suppose g - 42 = -4*h, c*h - h - 24 = g. Solve 4*s + h = -k - 2, -k - 2*s - 5 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Let p(f) = -5*f - 9. Let z(a) = -a - 5. Let w be z(-6). Let r(i) = w*p(i) - 4*q(i). Let l(x) = -x - 3. Determine 5*l(h) - 3*r(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)*(-3)\/(-6). Let k = -2304 + 2302. Sort k, t, -3, -1 in descending order.\nAnswer: t, -1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let a(x) = -52*x**2. Let w(h) = -a(h) - 78*j(h). Let i(g) = -2*g**2. Determine w(i(o)).\nAnswer: -104*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3*a**5\/16 - a**4\/2 + a**3\/8 + 3*a**2\/4 - 4*a - 1. Let s(b) be the first derivative of i(b). Factor s(y).\nAnswer: 3*(y - 1)**2*(5*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -173, 1, 2 in decreasing order.\nAnswer: 2, 1, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10347632 divided by -8?\nAnswer: -1293454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -627 and 28 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + -102. Does 9 divide d*1\/(-8)*(15 - 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-7*(-29)\/(-4060)*3)\/(2\/110).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290 + 310 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21374 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -163\/4. What is the common denominator of z and -85\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 12036.\nAnswer: 120360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 49\/2. Let q = -1.786 - -1.986. What is the second biggest value in -1\/8, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14815 + 14814.5. Which is the second smallest value? (a) -4 (b) r (c) -1\/3 (d) 2 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:47 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*k + 4, -7*t - 3 = -6*t. Put k, -6, -3, 1 in ascending order.\nAnswer: -6, k, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*l - 3 = 5, 4*c + 3*l = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -23218.\nAnswer: 1160.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (1 - 2)) + (1 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8594500, 8594505, 8594506, 8594503?\nAnswer: 8594496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 829*i*v**2*x*z - i*v**2*z + 2*i*v*z + 15*i*z - 1978*v**2*x - 2*v**2 - 404*z - 8 wrt x.\nAnswer: 829*i*v**2*z - 1978*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -60. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 105042355*p**2 + 840339080*p + 1680678320.\nAnswer: -5*(p - 21008479)*(p + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q + 4. Let o(b) = -2*b + 2. Let r(v) = -7*o(v) + 3*w(v). Let s(p) = 2*p + 4. Let h(t) = 5*r(t) + 3*s(t). What is h(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/9 and (-174)\/20 - (2 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h - 2*h)*(36 - 9 + 11)*(-3*h + h + 0*h).\nAnswer: 76*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -56597 divided by -22\nAnswer: 56597\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.103027998622 from -69.\nAnswer: -69.103027998622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(2 + 6\/(-4)). Suppose -2*v + 2 = -r*n, -2*n + 3*n - 4 = 0. Solve 12 = -v*k + 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26? (a) 0.8 (b) -0.1 (c) -0.2 (d) -3\/26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 434 in 2\/9, -0.4, -2, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -97\/4. Sort h, -0.6, -2 in descending order.\nAnswer: h, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Suppose -11 = 2*y - 5*q, 2*y - i*q = -0*q - 2. Suppose -5 = x, 0 = -2*l - 0*l + 2*x + 30. Solve 0*s = -y*s - l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -11. Let v = 447\/725 + -18\/25. Let h = v - 49\/87. Is h bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 1 - 16 + 8*m + 24.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(0 - 1 + 0) + 176*h - 1037 + 1037.\nAnswer: 178*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1530 divided by 6\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 2, -0.79, 3, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 90. Suppose -2*a = -g*a + 30. Is 10 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r. Let f(a) = -2*a - 2*a - a + 4*a. What is f(m(q))?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 161 + -72. Let a = -62 + j. Let d = a - 26.99941. What is d rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-12)*z*z\/z**(2\/37))**(-29) assuming z is positive.\nAnswer: z**(-16037\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2 - 779*p + 3105. What is f(4)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 0. Suppose 4*k = -5*f - 2, -3*f + 2*f = 5*k - 8. Suppose -v - m*p = k*v - 61, -v + 2*p + 15 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 + 0.72. Let a = 0.3 - g. Let x = a - 0.92. Sort 2\/13, x, -5 in increasing order.\nAnswer: -5, x, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*35\/(-42)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2643*-99.2\nAnswer: -26.21856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (1 + -1)) + 2. Suppose 149 = 3*o + 2*c - 5, 0 = -2*o + k*c + 90. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 1, x: 5, l: 5, m: 5, b: 1}. What is prob of picking 1 l and 1 e?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01445 - 2.98555. Let z = -0.04 - -0.13. Is z equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 7*x + 8. Let s be t(6). Does 6 divide 1070\/35 - 8\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1495480 and 5995.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g. Let k(a) = 146618*a**2. Calculate k(i(z)).\nAnswer: 586472*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518758 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 349124479 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = -0*y. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120139135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1248 - 1221. Solve 2 = -a + 2*b - 1, 4*b = -5*a + y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y, 0 = -3*t + 4*y - 2*y - 3. Let r = 2.8 + -2. Let c = -3.2 - r. Sort -2, c, t in decreasing order.\nAnswer: -2, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1083*h**5\/8 - 109269*h**4\/4 - 5407977*h**3\/8 + 1112091*h**2\/2 + 278811*h\/2 + 7728 = 0. What is h?\nAnswer: -23, -2\/19, 1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j + 28. Give q(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9751 at most as big as 9756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3888 and 5130?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -40 + 11*x**2 + 75 - 3*x**2 - x**2. Let a(b) = -1. What is 35*a(g) + f(g)?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1976 = -5*s - 472, 0 = -3*s + m - 1472. What is the units digit of s\/(-18) - 18\/81?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 31, 106, 225, 388, 595?\n\"Answer: 22*u**2 + 9*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/39021?\nAnswer: -2\/39021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 - 139 = 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-4)*b*b*b)\/b)**(2\/23)\/(b**(1\/4))**(-8\/3))**(-13\/2) assuming b is positive.\nAnswer: b**(-260\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 13*i.\nAnswer: -i*(i + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**4 - 2585*c**3 - 244360*c**2 + 252140*c + 493920 = 0.\nAnswer: -392, -126, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10375 - 10166. Calculate the remainder when 781 is divided by d.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**4\/12 + 2*w**2. Let b(m) be the first derivative of -1\/3*m**3 + 0*m - 2 + 0*m**2. Give y(b(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let r(t) = -t + 3. Let g(x) = 12*x - 2. Let c be g(-2). Let b(n) = -4*n + 13. Let m(f) = c*r(f) + 6*b(f). What is i(m(d))?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 + 117. Let n = -102 - x. Let m(w) = w**3 - 5*w**2 + 7*w - 5. Calculate m(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 215*a**2*u**2 + 407*a**2 - 2*a*u**2 + 253302*a wrt a.\nAnswer: 430*u**2 + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*a = -96*a - 126. What is the greatest common divisor of a and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64044772 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 4*o - 16. Let y be x(7). Suppose -4*r + 423 - 399 = 0. Solve -r*g + g = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 20 + 64. Let y = -7 - -17. Suppose 4*r - y = 14. Calculate the remainder when h is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241*m**3 - 640*m.\nAnswer: -1446*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1024 - -710. Let g = 288 + z. Let j = 0.3 - 0.5. Is j equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1893, 15243, 51479, 122043, 238377, 411923, 654123?\n\"Answer: 1907*r**3 + r**2 - 2*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + 3*sqrt(68)) - sqrt(68))\/((sqrt(40)\/sqrt(2))\/sqrt(5) - sqrt(4) - sqrt(4)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2176940 or -2176963?\nAnswer: -2176963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*4*5 - sqrt(136))\/((sqrt(8) + sqrt(800))*-6 + sqrt(8)).\nAnswer: -19*sqrt(17)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**8\/3360 - m**5\/60 + m**4\/12 + 2*m. Let o(b) be the third derivative of s(b). Differentiate o(c) with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:51 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**4\/24 + u**3\/3 - 4*u**2. Let g be (3\/(-4))\/((-1)\/4). Let c be ((-2)\/(-4))\/(4\/16). Let t(b) = -b - 1. Give c*d(p) + g*t(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9.021981+-9118\nAnswer: -9108.978019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - r - 1. Let t(i) = 7*i**3 - 4*i**2 + 2*i + 5. Let d(a) = 37*a**2 - 181*a - 24. Let l be d(5). What is l*w(s) - t(s)?\nAnswer: -7*s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 3, 0, -10.\nAnswer: -10, -2, 0, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*p = -4*d + 73 + 121, d + 16 = -3*p + 6*d - 27 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.02, -5, 2\/129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9019 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - (-114 + -41 + 65)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (-275)\/15 + 10. Suppose 0 + 2 = a. Suppose 4*t - 4*y = -16, y - 20 = -5*t - a*y. What is the biggest value in -8\/3, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 12 + -17 - -19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 392496?\nAnswer: 392496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -17.5 (c) -1\/2 (d) 1 (e) 1\/444\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/108 and 103\/216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from kgvkvkkkkkkvkkgv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v - 4. Calculate o(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 - 5*q**5 + 5*q**5 + (0 + 5 - 1)*(-q**5 + 5*q**2 - 5*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2967282 is divided by 244?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/8 + -1*14\/(-112). Let p(x) = 6*x**3 - x - 2. What is p(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*x + 12, 3*s + 3*x = s + 12. Let g(w) = w**2 + 5*w + 6. Let f be g(-7). Solve 2*k + k + 2*q = 13, s = 4*k + 4*q - f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = 2, m + 24 = 5*p. Suppose 0 = -5*s + p*h - 15, -8 = s - 3*h + 1. Solve s = -0*q - 4*q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2476 + -718039\/290. Let n = l - -571\/2610. Let i = -4.1 - 0.9. Are i and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) 5\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/115)\/(1*1\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*j - 24 + 1, -9 = 3*j. Let s(v) = -h - 4 - 4*v + 125*v**2 + 3*v. Is s(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -114, -239, -410, -627, -890?\n\"Answer: -23*k**2 - 10*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-39.0383.\nAnswer: -39.0383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21 - ((-1)\/(-1) + 1). Let i = r + -7. What is the remainder when 57 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20284 divided by 2.\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313\/6 + -1171\/24. Find the common denominator of (-19)\/3 + 2\/12 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose -j - j + 14 = o. What is the remainder when j is divided by 25\/15 - -3 - (-6)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50984210 = -405*c - 50944520 for c.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*a - 12, -4*a + 0*a - 26 = 5*b. Is b > -10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -1.33.\nAnswer: -7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30854*b**3 - 121*b**2 - 4256863?\nAnswer: 92562*b**2 - 242*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2724 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:27 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34130925 is divided by 2674?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/((-12)\/8 + 1). Let z(i) = 3*i**3 - 3*i**2 + i + 2. Let j be z(x). What is the tens digit of 8\/10*j\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 962, -195, -1348, -2497, -3642?\nAnswer: -4783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -752 - -896. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 13. Let o = -19 - z. Put o, -6, 1 in descending order.\nAnswer: 1, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -225*d**3 - 270*d**2 + 18*d - 9. Let y(g) = 56*g**3 + 68*g**2 - 4*g + 2. Let m(k) = 2*r(k) + 9*y(k). What is the third derivative of m(t) wrt t?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1397, -3092, -5047, -7268, -9761, -12532, -15587?\nAnswer: -18932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.639402 to 1 decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155462818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m + 2*m + 0*m)*(-2 - 161*m**3 + 744*m - 743*m - 39*m**3) as w + l*m**3 + g*m + s*m**2 + k*m**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1484 + 64 = 2*n, 0 = 2*k + 2*n - 710. What are the prime factors of k?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 7\/197 (b) -4 (c) 12\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 101?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -538915\/3 or -179638?\nAnswer: -179638","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(88)*-3 - sqrt(88)))\/(sqrt(968) - -4*sqrt(968)*3).\nAnswer: -24*sqrt(11)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 2*h**2 - 3*h + 4. Let z be d(-3). Suppose -b + 5 = 0, -z*a = 4*b - 23 - 65. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12109*t - 254285. Calculate h(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - o = -2*o + 124854, 4*j = 3*o - 166462. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Suppose -6 = -p - f. Suppose p*s - 7 = 21. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-60)\/(-16) + (-15)\/20. Suppose -k = -2*k - h - 3, 0 = -4*k - 3*h - 7. Suppose k*f - 8*f + 54 = 0. Calculate the greatest common divisor of f and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (38\/(-6) - 910\/(-210)) + (-520)\/(-353). Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 3, p: 1, k: 1, w: 1, b: 5}. What is prob of picking 1 p and 1 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 837.1107 minutes in microseconds?\nAnswer: 50226642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2845 = -9*c + 2978. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/14 and (-10)\/(-72)*(0 + 39)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -4*v - 8*x, 4*v = -4*x - 12. Suppose v = h - 0 - 5. Suppose 0 = -5*c + c - 5*m + 35, h*m - 15 = 0. Solve c = -4*k + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b + 85 = -z, -88*z + 84*z - 40 = -4*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38924779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -393.48 less than -47.78?\nAnswer: 345.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.29 + 4.99. Let m = 5.1 - c. What is the biggest value in -0.1, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t. Let m(d) = -1841*d**2 + 1578*d + 12624. Let c(x) = x**2 - x - 8. Let b(p) = -1578*c(p) - m(p). Give g(b(r)).\nAnswer: 789*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38749 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 0 - 2 + x + 3 + 0. Let i be r(0). Which is greater: -2\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**4\/12 - 2*r**3 - 21*r**2 + 20*r + 5. Let m(f) be the first derivative of l(f). Is 25 a factor of m(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilil. What is prob of picking 1 i and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 16*f - 1778. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 14435?\nAnswer: 14436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {k: 2, t: 1, r: 6, u: 3, a: 1, n: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229974 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-144)\/(-1728)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4154519, 8309040, 12463561, 16618082, 20772603?\n\"Answer: 4154521*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156444587*u**2 - 120*u + 227126?\nAnswer: 312889174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(28\/(-63)))\/(54\/(-864))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33728 is divided by 1347.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 236.99.\nAnswer: -473.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 21. Let i = -3 - 8. Let y(l) = -4. Let a = 22602 - 22600. Determine a*k(x) + i*y(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*u + 6 + 6, -5*m - 20 = 0. What is the units digit of (u\/(-4))\/(((-16)\/(-4))\/(-2736))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4894445?\nAnswer: 5, 79, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, s: 5, y: 5}. What is prob of picking 2 s and 1 y?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 17*b**2 + 2*b - 11. Let s be m(17). Solve -4*a + 4*x + 20 = 0, 0 = 2*a + 3*a - 3*x - s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48285146?\nAnswer: 2, 7, 13, 127, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180625, -361222, -541817, -722410, -903001, -1083590, -1264177?\nAnswer: -1444762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 0.2, 2, 199 in ascending order.\nAnswer: -2, -0.2, 0.2, 2, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21865?\nAnswer: 5, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*a = 9, a = 6*a + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 3*t = 13*i + 17, 0 = t - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77080 = 73*f - 11615. Does 135 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 + 3 = 0. What is the derivative of 2*l**f - 3 + l**3 - 1 - l**3 wrt l?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 2024252603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 2369, 7127, 16399, 31691, 54509, 86359?\nAnswer: 128747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**2 - 1030*z + 53045 = 0.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4197402075*v**3\/8 + 4197177645*v**2\/8 - 224427*v\/8 + 3\/8 = 0?\nAnswer: -1, 1\/37405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - 0)*(-310 + (-182015)\/(-590))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/2 + 5757*r**4\/2 + 23079*r**3\/2 - 5757*r**2\/2 - 11538*r = 0. Calculate r.\nAnswer: -4, -1, 0, 1, 1923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/360 + v**5\/120 + 5*v**4\/2 + 8*v**3\/3 - 11*v**2. Let o(i) be the first derivative of m(i). Is 15 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 951.17999955221 + -951.18. What is o rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Suppose 4*u = 8*u - 40. Suppose 5*a - 19 - 26 = -2*m, 3*a - 15 = 0. Let d(k) = u*k**2 - 10 + m. What is d(i(c))?\nAnswer: 40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5\/7 - 33*k**4\/7 - 381*k**3 - 17463*k**2\/7 + 71460*k\/7 - 51300\/7 = 0.\nAnswer: -15, 1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*c + 4*t, 3*t = -2*c + 20 - 11 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -149.109?\nAnswer: -149.109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18998 is divided by 3141?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 0.5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 + 113. What is the smallest common multiple of m and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 20\/43, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - y + 5, 2*y = o + 10. Suppose 3*p = -o*p - 3*h + 219, -2*h - 2 = 0. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 - -307.9. Which is the fourth smallest value? (a) s (b) -8 (c) 0 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 5*y + 199 = 0, -2 = y. Let z = c + -187\/3. What is the closest to 0.1 in 5, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - 14\/(-3). Let g = -17 + 53. Suppose -4*p = 4*b - g, -b - 27 = -m*p - 0*b. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 371580*p - 11505974700.\nAnswer: -3*(p - 61930)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1093*y - 24684 - 14664 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4\/2 - 4561*v**3\/2 + 574157*v**2\/2 + 8301265*v\/2 - 4435431 = 0.\nAnswer: -14, 1, 143, 4431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5 - 2*s - 5. Let c be o(-3). Is (2 - -24)\/(c\/21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(175) + -2)**2 + sqrt(175) - sqrt(175) - sqrt(175)) + sqrt(175) + -3)*5 - (sqrt(336)*-1 + sqrt(336))\/(sqrt(27)\/(sqrt(9)*-2) - sqrt(3))) + 3.\nAnswer: -100*sqrt(7) + 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59901?\nAnswer: 3, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 237209 + -1180436\/5. Let g = i + -1132. Calculate the common denominator of 9\/4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 137\/2 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/28*-28)\/(119\/238)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36938 + 82466. List the prime factors of q.\nAnswer: 2, 3, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2142365 rounded to three decimal places?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f**3 + 2*f**2 - f. Let k be a(1). What is the highest common divisor of k and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33770850?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 4 - c**3 - 13*c**2 - 5*c**2 + 20*c**2. Calculate the remainder when ((-15)\/9)\/(5\/(-18)) is divided by u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvrkvrvvavkqrv. What is prob of picking 2 k and 1 v?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2)*1*(-4)\/3. Let v be (-8 - -2 - -8)*(-3)\/b. Solve n + 5 = -3*i, -v*i + 5*n + 25 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -3*y - 5*t, -5*y - t = -0*y + 260. Let l = 76 + y. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 30*s**2 - 1415*s - 121. What is y(47)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 1427846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t - t)*(4*t**2 + t**2 - 4*t**2)*(t + 0*t + t)*(-872 + 146 - 315).\nAnswer: -2082*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 1 (c) 0.03 (d) -10642 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1156 + 2055?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76 - 73 - 38)*(-2*y + 2 + 3*y + y).\nAnswer: -374*y - 374","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + 7 + 3 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6835892*b**3 + 34325915*b wrt b.\nAnswer: 41015352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*1*sqrt(2448))**2 + (2*sqrt(170)*6)\/(sqrt(120)\/sqrt(300)).\nAnswer: -39168 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 - 777 = 262*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + t + 194, -4*a + 3*t + 72 + 92 = 0. Solve a*u = 36*u + 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/3 + 44*s**2\/3 + 2*s\/3 - 44\/3 = 0. Calculate s.\nAnswer: -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, j: 1}. What is prob of sequence gjgg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 3. Let k(z) = -7*z - 4. Let x(p) = -5*k(p) + 6*u(p). Let m = 2 + -4. Let o be x(m). Solve 0 = -o*i - 1 + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1 - 7.1. Sort 4, -2\/5, p.\nAnswer: p, -2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207969 a multiple of 383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/j**2)**(-4\/5))**36)**(-35) assuming j is positive.\nAnswer: j**1008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*o**3 + 25 + 97*o**3 - 2*o**4 + 2*o**2 + 6*o - 16*o - 22 + 11*o as b*o + m + u*o**4 + t*o**3 + j*o**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12684 divided by 4\nAnswer: 3171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49475.\nAnswer: 5, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + h + 37*h**3 - 4*h - 4 - h**2 - 35*h**3 to the form j*h**3 + s*h + k*h**2 + i and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 4864 = 2737. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n. Let f(d) = -d**3 - 9*d**2 - 10*d - 5. Let c be f(-8). Let q(r) = -2*r + 4 - c + 7. Determine q(b(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4559 - 4785. Is -0.1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvdfsvtvvt. What is prob of sequence tfs?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 7, 0, -17.\nAnswer: -84, -17, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3293 - -400.\nAnswer: 399.6707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 511*j**2 + 299*j**2.\nAnswer: 812*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/28 - w**3\/14 + 3*w**2\/7 - 9*w. Factor t(d).\nAnswer: -3*(d - 1)*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.9298108 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 2, -34, -84?\n\"Answer: -7*r**2 - r + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27712, 55452, 83176, 110878, 138552?\nAnswer: 166192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/(-3))\/(16\/72). Suppose 3*q - 10 = q, -k = -f - q. Suppose 0 = -5*g + 401 - f. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2278, -2274, -2270, -2266, -2262, -2258?\nAnswer: -2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 7. Let j = n - 15. Suppose j = -l - 4*p - 10, l + 0*p - 10 = p. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhkntgh. What is prob of sequence nnh?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27008 and 2315092.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175969?\nAnswer: 149, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from dddddddv?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*f = -332*f + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 568255 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 7:56 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - (1 + 5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -0.03. Let z be (6\/(-3) - 44) + 6. Let r be (-135)\/45 - 122\/z. What is the nearest to g in r, 0.4, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 - 5*v**2 + 2*v**2 + 4*v**4)*(v + v - 5*v - v + 2 - 2 + (0 + 0 - 1)*(-v + 5*v - 2*v)).\nAnswer: 6*v**5 + 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433748 a multiple of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2\/5 - 49*b\/5 - 2052\/5 = 0. Calculate b.\nAnswer: -27, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -236 * 0.1\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3 + (-2)\/(-6). Let v(r) = r**3 - 25*r**2 + 21*r + 74. Let z be v(24). Solve k = 2*a - o + 8, 0 = z*a - 3*o + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6475 and 1575?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 - 53*k**2\/5 - 109*k\/5 - 11.\nAnswer: (k - 55)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0 - 9, 3*h = 5*y + 33. Let s be -3 + 5 + (-10)\/5. Suppose s = 7*d - 4 - 24. Calculate the greatest common divisor of d and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6354.624 + 175.51. Let x = u - -6173. Let i = -6.1 - x. Round i to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2162 - 2158. Solve -n + v*c + 15 = 0, n - 2*n = -c - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k + 77370 - 154747 + 77375 - 67*k**2 to l*k**2 + t*k + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1707*b - 4345*b - 190215 = 52776 + 18171 for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(6\/7)\/y)\/y)\/(y\/y**7)*(y**(-1))**(-13\/5))\/((y**(-2))**(-11\/9))**(-39) assuming y is positive.\nAnswer: y**(10793\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 67091635 a multiple of 2239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1226*r - 1239*r + 104 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43432, 86866, 130300, 173734, 217168?\nAnswer: 260602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, g: 2, b: 1, o: 1, w: 2}. What is prob of sequence bg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*d**3 - d**3 - 16*d**3 + 4*d**3 - 83*d**2 + 83*d**2 + (0*d**2 + 5*d**2 - 3*d**2)*(-5 + 5 + 2*d).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 370\/3 smaller than 1.43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 4, -r = 5*c - 445. Suppose -3*u + c = -59. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2407.\nAnswer: 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/2300 and -47\/276.\nAnswer: 6900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) -0.1 (c) -1123698\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1944 and 53\/14256.\nAnswer: 42768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19256 and -0.3?\nAnswer: -5776.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t, -d - t - 21449995 = -6*d. Round d to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 290?\nAnswer: 59\/290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = g + 24. Let i(z) = -7*z + 31. Let o be i(5). Which is the closest to 1? (a) g (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619188 is divided by 3219.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 2, f: 5, o: 2, d: 1, q: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518383.\nAnswer: 1518383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 17950 = 4*a - 13*n, 2*n = -a + 4491. Suppose 2 = -2*g - 2*l, 0*g + 3*g = 5*l + 37. Suppose -g*r - 463 = -a. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -4*g - 40, -a + 13 = -2*a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62\/19, -0.2, -0.1, 0.5, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/10)\/(-2 + (-33)\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 47832?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177025 and 2920.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 10 = -9*q - 76, p + 18 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 - 41*o**2 - 43*o - 29. Is j(-32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -953*u**2*w + 35*u*w**3 - u*w - 2*u - 87127*w**3 wrt u.\nAnswer: -1906*u*w + 35*w**3 - w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4350)\/(-15))\/29*28*(-21)\/(-280)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 5, g: 9, j: 3}. What is prob of sequence ggg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 378831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 2*w**2 + 7*w - 1. Let m(v) = -v**3 + v**2 - 2*v. Let c(n) = -n**3 - 9*n**2 - 17*n + 22. Let u be c(-5). What is u*m(p) + 2*d(p)?\nAnswer: -3*p**3 + 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 57. Suppose 2*t + 231 = -5*t. Let n = g - t. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 + 26 - 3) + (0 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1012002 - 20?\nAnswer: 1011322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*i**2 - 22*i**2 + 14*i**2.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*z - 20, -4*z + 3*s = 2*s - 36. Suppose 3*f = -4*m + 7, 4*f = 8*f + 5*m - z. Let i = 7.6 - 7.3. What is the third biggest value in 7, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -569\nAnswer: 3\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*w + 95 - 107, w = -b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20213 + 1030032333?\nAnswer: 1030012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5672313266 - 0.06584?\nAnswer: 5672313265.93416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -129\/5. Let n = 331 - 330.8. Which is the fourth biggest value? (a) -0.1 (b) 1\/3 (c) u (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-2 + 2) - (-7 + 3) - (308 + -288).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 2. Suppose -3*g - 2*z - 12 = -0*z, -4*g - 4*z - 20 = 0. What is the units digit of b(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133487549 + 3643044. Let y = 137130011.99721 - m. Let r = y - -581. Round r to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*p - 21, -d + 3 - 4 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 5, -4*o - 420*v + 416*v + 32 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 104, 64, 52, 74, 136?\n\"Answer: i**3 + 8*i**2 - 71*i + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:03 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 471849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 16 = 36. Let x(t) = 4*t - 5 + 5. Let r(m) = -m. Let a(s) = z*x(s) + 18*r(s). Let f(u) = 4*u**2. Give f(a(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 251857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01986 * -0.389.\nAnswer: -0.00772554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 330 = 322, -5*w - 165 = -r. Suppose 0 = -4*m, 5*m = -2*d - 0*m + 140. What is the highest common factor of r and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13 - -7) + 5 - 3) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387, -782, -1185, -1602, -2039, -2502?\nAnswer: -2997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -88*y + 17714. Determine b(204).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 + 5*j**2 - 18*j**2 + 12*j**2 - 3*j as o + i*j**2 + f*j and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.17 - 60.174497. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, 7, -3\/2, 1.8, 117?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25076269?\nAnswer: 37, 677737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 38 = u - 903, 5*k + u - 2360 = 0. Suppose 4*b = -b + 2*w + k, -477 = -5*b - 2*w. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13674 - -81561. Suppose 42*x + c = 63*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -56?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/35)\/((-96)\/504).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.14, -3, -5, 3, -71, -8\/151, 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**3 - 9*x**2 - 12*x. Let k(b) = 5*b**3 + 9*b**2 + 13*b - 2. Let a(p) = 4*d(p) + 5*k(p). Let o be a(-6). Put 1, 54, o in decreasing order.\nAnswer: 54, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*f + 320, p + 3*p = 2*f + 616. Suppose p*z - 400 = 147*z. What is the greatest common factor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 4*a - 6*x + 3*x, -3*a + 464 = x. Suppose -f + 0*d = -4*d - 40, 0 = 5*f + 3*d - a. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166926.17 + 131771.\nAnswer: 298697.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 5*p - 19 = 22*a, -3*a + 4*p - 17 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -238?\nAnswer: -55\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13371*h - 400 = -13331*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 48 = -4. Suppose -y = -3*y + p. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055733?\nAnswer: 3, 11, 71, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -81\/2. What is the nearest to 1\/3 in s, 3\/5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2. Let k(c) be the third derivative of -c**6\/72 - 49*c**3\/6 + 104*c**2. Let l(z) be the first derivative of k(z). What is v(l(t))?\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16122a - 3?\nAnswer: -161231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15764220 divided by 1313685.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 + 82*o - 53. Determine z(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*-6*((sqrt(153) - 2*sqrt(153)) + sqrt(153)))\/(4*sqrt(324)*-2 - (2*sqrt(324)*-1 - sqrt(324))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxzxxxzxxzxx. Give prob of sequence xxzz.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**22)\/y)\/(y**(-13\/5)*y*y))**(14\/5) assuming y is positive.\nAnswer: y**(1652\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 73. Put 4, w, 5, 9 in descending order.\nAnswer: 9, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 12*c**2 - 2 - 7*c**2 - 2 to the form h*c**2 + j + l*c and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/18*(0 - -1). Which is the smallest value? (a) 0.04 (b) q (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 + l + 1. Suppose 2*n + o = 5*o - 16, -n + 3*o = 9. Let v(d) = -17*d**3 + 12*d**2 + 15*d + 4. Let w(s) = n*g(s) - v(s). Factor w(r).\nAnswer: -(r + 1)**2*(r + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 + (-30)\/4)\/(1\/2). Let k = 2 + -1. Let t(h) = -2 + h + k + 0. What is t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -444*x + 55135. What is i(124)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -76. Suppose -4*f - o = -11. Let u(h) = 212*h**2 - 210*h**2 + h**3 - 2*h**3 - 1 + f*h. Determine u(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54 + (-5347335)\/(-99015))*41?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, y: 6}. What is prob of sequence vv?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.66 - -18.66. What is the fifth biggest value in 0, -12, 1.8, g, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/((r*r**(-2))\/r*r)*r\/r**(7\/6)*r*r**(12\/5)*r*r assuming r is positive.\nAnswer: r**(-203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52107782041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/20 - d**4\/2 + 2*d**3 + 37*d**2\/2 - 28*d. Let a be z(-7). Solve 0 = -a*l + 7*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18575 and 290.\nAnswer: 1077350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqc when three letters picked without replacement from {b: 2, c: 2, q: 3, v: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - 5*s + 5*s + (-s**4 + 4*s**4 - 2*s**4)*(4*s + 4*s - 6*s) - 4*s**2 + 2*s**5 + 4*s**2 + (19 + 9*s**2 - 19)*(-6*s - 5*s**3 + 4*s - 9 + 2*s**3).\nAnswer: -22*s**5 - 18*s**3 - 81*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/2*(-648)\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -31. Suppose 4*g - g + 55 = 5*b, 3*g = 0. Suppose w - b = f. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 26788838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v**3\/15 - 33954*v**2\/5 - 25466*v\/15 = 0.\nAnswer: -1\/4, 0, 12733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/6 + 20\/((46 - 14)\/4)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiigiigwgiiiii. Give prob of sequence giw.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63*h**2*s**5 + 3085*h**2*s - 81*h*s**5 + 2*s wrt s?\nAnswer: -1260*h**2*s**3 - 1620*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1088 + 20316. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -1\/1291285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 102648465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*r + 34, 4*o - 3*r = r + 52. Let q be (3 - (-2)\/(-1)) + 10 - -1. What is the greatest common divisor of q and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/21)*a*a)**(3\/13) assuming a is positive.\nAnswer: a**(64\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -648 divided by -12.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 7*p**2\/2 - 2. Let t be (0 - (5 + -4))\/(2\/(-4)). Let b(g) = 32 + g**t - 32 + 0*g**2. Give b(h(u)).\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134 - -242. Calculate the smallest common multiple of 24 and l.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 - 30096*k**2 = 0.\nAnswer: 0, 45144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1879995 and 0.01?\nAnswer: 1879994.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -2\/23 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900 divided by 2?\nAnswer: -950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/29 (b) -19 (c) -86 (d) 2 (e) -1\/26 (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125415 (base 7) to base 13.\nAnswer: -a932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6266 + -2?\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n - n - 1638 = 0. Let r = n + 117. Solve 3*a + r*a = 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 106*f - 101*f + 28 = -0, 4*w = -153*f - 1099 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56975, -114032, -171089, -228146, -285203, -342260?\n\"Answer: -57057*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 201647.\nAnswer: -60494.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1995 and 6720?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3247 - 6?\nAnswer: 3241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -355519 (base 10) to base 6.\nAnswer: -11341531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 399834\/5 + -79626. Let j = 342 - o. Let i = -11473 + 91785\/8. Which is the biggest value? (a) i (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 156 = -5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21010 (base 3) to base 5\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5257*a + 5187*a - 3220 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m - 14. Give d(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let s(a) = -a - 2. Let k = 53 - 45. Let z(v) = -20*v - 16. Let p(n) = k*s(n) - z(n). What is o(p(u))?\nAnswer: 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2) - (-221)\/(-195)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1042 - 1041.6. Let m = -4.73 + -0.27. Sort o, 0, m, -3 in increasing order.\nAnswer: m, -3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334401539 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, u: 7}. Give prob of sequence uuh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + v + 9, -3*k + v + 4 = 2. Suppose -7*a + 5*a + 30 = 0. Let z = 15 - a. Which is greater: z or k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -40?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 2*w - 8*w**2 - 6*w + 2*w to the form f*w + z + j*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381273.\nAnswer: 3, 19, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/56 and 16\/104727.\nAnswer: 837816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-33)*(-110)\/80?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*sqrt(48) + 2 - (sqrt(48)*2 - sqrt(48))*5) + (5 + 3 + -1*sqrt(363))*-4)**2.\nAnswer: -992*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = i - 1144, 0*n - 4543 = -4*i - n. Is i*(-54)\/(-315) - 6\/(-14) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -8644?\nAnswer: 8649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8571 + 4383 - 8344 = -482*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i + 10. Let a be d(0). Let r = 14 - a. Let p be (-1)\/((-1)\/(-9)*3). Put 0, p, r in ascending order.\nAnswer: p, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:00 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 - 0.02. Let f = h - 0.9. What is the smallest value in f, -8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*((-10)\/(-2) - 0) - -1563?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190393895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/70 and -53\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 25591 + 26183 = -118*a, 5*v - 112 = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3127*o + 1338. What are the prime factors of f(-10)?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 308736972706 and -0.2?\nAnswer: 308736972706.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2*u**2 - 3*u)*(-2 + 2*u**3 + 2) + (8*u**3 + 4*u**3 - 2*u**3)*(20*u**2 - u**2 + 3*u**2).\nAnswer: 224*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*s**5 - 3*s**4 - 5255*s**2 - 248734*s - 12 wrt s.\nAnswer: -520*s**3 - 36*s**2 - 10510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1157\/9 + 380659\/2961. Suppose 3*x + 1 = -4*a + 2*x, -x - 2 = 3*a. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 0)*11\/(-33). Suppose y*w + 3*w = 10. Suppose 3*h = b - 25, w*h + 33 = b - 3*h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47673761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 42. Let r = y + 41. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/434 and 58\/7.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/4574 + -196607\/114350. Let l = 3251\/1110 + 1\/222. Find the common denominator of r and l.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (115\/828)\/(5\/3).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 257.253 millennia in decades?\nAnswer: 25725.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a decade in years?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57767?\nAnswer: 61, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 2:26 PM?\nAnswer: 621","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000658221 to seven dps.\nAnswer: -0.0000658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7680 and 23040.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -5 (c) 4 (d) -7 (e) 0.0201 (f) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 38228004.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14433 - 4?\nAnswer: 14427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -720*z**3 + 2680*z**2 - 2765*z + 490.\nAnswer: -5*(4*z - 7)**2*(9*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*t = -8, 0 = 3*t + 2*t + 10. Let l(p) = -p**2 - 1 + 0 - 4*p - 3*p**2 + 3*p**2. Calculate l(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c1 (base 15) in base 3?\nAnswer: -2201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1008 - -374. Let q = y + 640. Solve 0 = 4*k - 6 - q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/7)\/t)\/t**0*(t**(11\/4))**(-11\/9) assuming t is positive.\nAnswer: t**(-811\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 a factor of 50870406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22701375.\nAnswer: 3, 5, 17, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 427168.6ug in milligrams?\nAnswer: 427.1686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 5*q - 4. Let b be z(3). Let g be (-2 - -2)*1\/b. Solve g = -2*o + o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 114 (b) -0.5 (c) -9 (d) -4\/5 (e) 1\/4 (f) 17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.02, -0.4, -591?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8985, 8255, 6263, 2373, -4051, -13645, -27045?\nAnswer: -44887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9105871699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -295413686 and -295413685 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2484)\/(-92)*80\/(-48)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344\/165 - -34\/15. Let x = -1127 + 1125. Which is the closest to x? (a) 0.2 (b) -12 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(34) + sqrt(850)) + ((sqrt(34) - 3*sqrt(34)) + sqrt(34))*6)\/(sqrt(18)*1 + (sqrt(50) - -2*sqrt(50))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5137260 (base 8) to base 7.\nAnswer: 14361443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -66 - 57. Let f = -106 - l. Calculate the remainder when 84 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.222669 rounded to two dps?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v. Let o = 3 + -1. Let i(u) = -6*u**2 + u**o + 3*u**2. What is i(k(a))?\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*n**2 + 32 - 32)*(-1 + 0 + 0).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14468901 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1087, -1\/44, -0.3, 4, 1?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**25*(o\/(o\/(o\/(o\/(o\/(o**(-9\/4)\/o*o*o)))))*o)\/o)\/(o**(-43)*o**0) assuming o is positive.\nAnswer: o**(281\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -56, 2, 0, 255.\nAnswer: -56, -4, -3, 0, 2, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 245 = -118 - 92. Let f(v) be the third derivative of 36*v**2 + 0*v + 1\/30*v**6 + 2\/15*v**l - v**3 - 1\/6*v**4 - 1\/105*v**7 + 0. Factor f(j).\nAnswer: -2*(j - 3)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1352511 is divided by 7773.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 9*z + 3*z)*(-2*z**2 - z + z) + 1 + 3*z**3 + 25*z**2 - 27*z**2 - 2.\nAnswer: -3*z**3 - 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 10 - 110. Let c = 2586 - 46567\/18. What is the common denominator of c and (-10)\/g*34\/(-8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + ((-217)\/(-266))\/((-2)\/(-12)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 195. Give u(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2142*j**4 - 4*j**3 - 4185*j**2 - j + 3 wrt j.\nAnswer: -51408*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17253720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 84*s + 3283. What is j(29)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1153638 divided by -1.\nAnswer: -1153638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1792 - 1789. Calculate the remainder when 52 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5845 - -5846. Is j bigger than 5\/2896?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -674227\/2295906 + -2\/8763. What is the common denominator of 19\/18 and z?\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 126, 129, 132, 135, 138?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**2 + 3*f + 98. Let x(r) = -11*r**2 + 5*r + 147. Let m(h) = 8*b(h) - 5*x(h). Calculate the remainder when m(0) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*d*m**2 - 17*c**2*d*m - 2891*c*d*m + 749403*d*m**2 + 4*m wrt m?\nAnswer: 4*c**2*d + 1498806*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}